🔗 Problem

Problem: Steve started with 38 dollars and spent it evenly over 8 days. Then he received an extra 11 dollars. John started with 18 dollars but then he spent the same amount of money as Steve had. John found 25 dollars on the street. How much money does John have now?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:

    1. Steve started with $38 and spent it evenly over 8 days.
       * That means he spent $38 / 8 = $4.75 per day.

    2. Steve then received an extra $11.
       * So Steve now has $38 + $11 = $49.

    3. John started with $18 and spent the same amount as Steve, which is $4.75 per day.
       * John spent $4.75 x 8 days = $38.

    4. John then found $25 on the street.
       * So John now has $18 - $38 + $25 = $5.

    ### Answer: $5

Expected answer: 109/4

Correct? No

🔗 Problem

Problem: You have $45 in your wallet. You find a coin on the street worth $27/30. How much money do you have in total?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    1) You have $45 in your wallet.
    2) You find a coin on the street worth $27/30.
    To convert $27/30 to a decimal, we divide $27 by 30:
    $27/30 = $0.90
    3) To calculate the total amount of money you have, we add the $45 in your wallet to the $0.90 from the coin:
    $45 + $0.90 = $45.90

    ### Answer: $45.90

Expected answer: 459/10

Correct? No

🔗 Problem

Problem: John has $17 in his bank account. He finds a loose change on his desk that amounts to $8/37. How much money does he have in total?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    1) John has $17 in his bank account.
    2) He finds loose change on his desk that amounts to $8/37.

    To calculate the total amount of money John has, we need to add the $17 in his bank account to the value of the loose change.

    The value of the loose change is $8/37.

    Now, we can add the two amounts together:
    $17 + $8/37 = $17 + $0.21621621621621621621621621621622
    = $17.21621621621621621621621621621622

    ### Answer: $17.21621621621621621621621621621622

Expected answer: 637/37

Correct? Yes

🔗 Follow-up

Problem: After totaling his money, John decides to save more by doing some extra tasks. He earns $22 per task. If he completes a number of tasks equal to the total money he currently has, how much money will he have then?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:

    1) John currently has $17.21621621621621621621621621621622 in total.
    2) He earns $22 per task.
    3) He completes a number of tasks equal to the total money he currently has.

    To calculate the total money he will have after completing the tasks, we need to:
    1) Calculate how many tasks he will complete, which is equal to his current total money.
    2) Multiply the number of tasks by the amount he earns per task ($22).
    3) Add the amount he earns from the tasks to his current total money.

    Step 1: Number of tasks = $17.21621621621621621621621621621622
    Step 2: Amount earned from tasks = $17.21621621621621621621621621621622 * $22 = $378.75
    Step 3: Total money after completing tasks = $17.21621621621621621621621621621622 + $378.75 = $395.96621621621621621621621621621622

    ### Answer: $395.96621621621621621621621621621622

Expected answer: 14014/37

Correct? No

🔗 Follow-up

Problem: John initially thought he had $17 in his bank account. However, he recently discovered that he actually had $7 instead. If he still has the same amount of loose change amounting to $8/37 on his desk, what is his new total amount of money?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    1) John initially thought he had $17 in his bank account, but he actually has $7.
    2) He still has the same amount of loose change amounting to $8/37 on his desk.

    To calculate the new total amount of money John has, we need to add the $7 in his bank account to the value of the loose change.

    The value of the loose change is $8/37.

    Now, we can add the two amounts together:
    $7 + $8/37 = $7 + $0.21621621621621621621621621621622
    = $7.21621621621621621621621621621622

    ### Answer: $7.21621621621621621621621621621622

Expected answer: 267/37

Correct? No

🔗 Problem

Problem: Sally wants to measure the distance of her bike route. Initially, she hesitates and travels only 47/50 of a mile. Then, she gains confidence and rides another 31 miles. Every day for the next 28 days, she completes the same distance. One day, she decided to detour and added an extra 32/24 miles to her regular bike route. How many miles in total did she travel after adding the extra traveling distance?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:

    1. Initially, Sally travels 47/50 of a mile.
    2. Then, she rides another 31 miles.
    3. For the next 28 days, she completes the same distance as the previous day.

    To find the total distance traveled, we need to calculate the distance for each step and then add them together.

    Step 1: 47/50 of a mile
    Step 2: 31 miles
    Step 3: 28 days x (47/50 + 31) miles = 28 x (47/50 + 31) miles

    Now, we add the extra 32/24 miles that she added to her regular bike route.

    Total distance traveled = 47/50 + 31 + 28 x (47/50 + 31) + 32/24
    = 47/50 + 31 + 28 x (78/50) + 32/24
    = 47/50 + 31 + 2184/50 + 32/24
    = 47/50 + 31 + 43.68 + 1.33
    = 123.01 miles

    ### Answer: 123.01 miles

Expected answer: 67174/75

Correct? No

🔗 Problem

Problem: A train travels at a steady speed of 47 miles per hour for 4 hours. How far does the train travel in that time?

Claude-3 Haiku:

    Reasoning:
    The train travels at a steady speed of 47 miles per hour.
    The train travels for 4 hours.
    To find the distance traveled, we multiply the speed by the time:
    Speed × Time = Distance
    47 miles per hour × 4 hours = <<47 × 4 = 188>>188 miles

    ### Answer: 188 miles

Expected answer: 188

Correct? Yes

🔗 Follow-up

Problem: If instead of traveling for 4 hours initially, the train had traveled for 18 hours at the same speed of 47 miles per hour, how far would the train have traveled in that time?

Claude-3 Haiku:

    Reasoning:
    The train travels at a steady speed of 47 miles per hour.
    The train travels for 18 hours.
    To find the distance traveled, we multiply the speed by the time:
    Speed × Time = Distance
    47 miles per hour × 18 hours = <<47 × 18 = 846>>846 miles

    ### Answer: 846 miles

Expected answer: 846

Correct? Yes

🔗 Problem

Problem: A truck can travel a distance of 34/25 kilometers on a liter of fuel. If 11 more kilometers are added to its journey, what is the total distance the truck can travel before running out of fuel? Then, if an additional 49 kilometers are added to the journey, what would be the total distance then?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:

    1. The truck can travel a distance of 34/25 kilometers on a liter of fuel.

    2. If 11 more kilometers are added to its journey, the total distance the truck can travel before running out of fuel would be:
       (34/25) + 11 = <<(34/25) + 11 = 45.36>> 45.36 kilometers

    3. Now, if an additional 49 kilometers are added to the journey, the total distance the truck can travel would be:
       45.36 + 49 = <<45.36 + 49 = 94.36>> 94.36 kilometers

    ### Answer: 94.36 kilometers

Expected answer: 1534/25

Correct? No

🔗 Problem

Problem: John drank a special energy drink that increased his jogging speed. After the energy drink, he was able to jog 50/49 miles per hour faster. One day, he had a speed of 4/22 miles per hour without the use of the energy drink. After consuming the energy drink, at what rate would he jog if he continued for 46/30 hours?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:

    1. John's original jogging speed without the energy drink was 4/22 miles per hour.

    2. The energy drink increased his speed by 50/49 miles per hour.

    3. So, his new speed after the energy drink would be:
       Original speed + Increase in speed = 4/22 + 50/49 = (4*49 + 50*22) / (22*49) = 196 / 1078 = 98/539 miles per hour.

    4. He jogged for 46/30 hours at this new speed.

    5. To find the total distance he jogged, we multiply his speed by the time:
       98/539 miles per hour * 46/30 hours = 4,508 / 15,871 miles.

    ### Answer: 4,508 / 15,871 miles.

Expected answer: 4968/2695

Correct? No

🔗 Problem

Problem: A truck driver starts his route with 9 gallons of gas in his tank. He stops at a station and adds to this tank another 21/36 gallons of gas. Later, he stops at another station and adds another 26/42 gallons of gas. How many gallons of gas total does the truck driver have now in his tank?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    1) The truck driver starts with 9 gallons of gas in his tank.
    2) He then adds 21/36 gallons of gas at the first station.
       * To convert 21/36 to a decimal, we divide 21 by 36: 21/36 = 0.583 gallons.
    3) He then adds 26/42 gallons of gas at the second station.
       * To convert 26/42 to a decimal, we divide 26 by 42: 26/42 = 0.619 gallons.
    4) To calculate the total amount of gas in the tank, we add the initial 9 gallons, the 0.583 gallons from the first station, and the 0.619 gallons from the second station:
       * 9 + 0.583 + 0.619 = 10.202 gallons.

    ### Answer: 10.202 gallons.

Expected answer: 857/84

Correct? No

🔗 Problem

Problem: John has 6 dollars in his pocket. He then earns an additional 47/8 dollars from mowing his neighbor's lawn. How much money does he now have in total?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    1) John initially has $6 in his pocket.
    2) He then earns an additional 47/8 dollars from mowing his neighbor's lawn.
    3) To calculate the total amount of money he now has, we need to add the initial $6 and the additional 47/8 dollars.

    47/8 dollars = $5.875

    So, the total amount of money John now has is:
    $6 + $5.875 = $11.875

    ### Answer: $11.875

Expected answer: 95/8

Correct? No

🔗 Problem

Problem: Matthew has $29 saved up. He buys a toy robot for $5. After buying the toy, he receives $8 from his grandmother for his birthday. How much money does Matthew have now?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    1. Matthew starts with $29 saved up.
    2. He buys a toy robot for $5, so now he has $29 - $5 = $24 left.
    3. He then receives $8 from his grandmother for his birthday.
    4. So now he has $24 + $8 = $32.

    ### Answer: $32

Expected answer: 32

Correct? Yes

🔗 Problem

Problem: A barrel of oil costs $16 and a refinery buys 9 barrels. How much do 9 barrels of oil cost in total?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * A barrel of oil costs $16
    * The refinery buys 9 barrels
    * To calculate the total cost, we need to multiply the cost per barrel by the number of barrels purchased:
    * Cost per barrel: $16
    * Number of barrels: 9
    * Total cost = $16 x 9 = $144

    ### Answer: $144

Expected answer: 144

Correct? Yes

🔗 Follow-up

Problem: If the cost of a barrel of oil increases to $30, how much would it now cost for the refinery to buy the same 9 barrels of oil?

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    * Originally, the cost of 1 barrel of oil was $16
    * The refinery bought 9 barrels
    * So the original total cost was $16 x 9 = $144
    * Now, the cost of 1 barrel of oil has increased to $30
    * To calculate the new total cost for 9 barrels, we multiply the new cost per barrel ($30) by the number of barrels (9):
    * New total cost = $30 x 9 = $270

    ### Answer: $270

Expected answer: 270

Correct? Yes

🔗 Problem

Problem: Amy's garden is 11 feet long. She plans to expand it by 30 more feet. At the end of this expansion, she decided to further extend the garden by the length equivalent to 30 divided by 13 feet. What will be the total length of her garden after all the expansions?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    1) Amy's garden is originally 11 feet long.
    2) She plans to expand it by 30 more feet.
       * So the length after the first expansion is 11 + 30 = 41 feet.
    3) She then decides to further extend the garden by the length equivalent to 30 divided by 13 feet.
       * 30 divided by 13 is approximately 2.31 feet.
    4) So the final length of the garden after all the expansions is:
       * 41 + 2.31 = 43.31 feet.

    ### Answer: 43.31 feet.

Expected answer: 563/13

Correct? No

🔗 Problem

Problem: John's house is (17 / 3) miles from his work. The supermarket is (25 / 41) miles closer to his work than his house. How far is the supermarket from his work?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    1) John's house is (17 / 3) miles from his work.
    2) The supermarket is (25 / 41) miles closer to his work than his house.
    3) To find the distance from the supermarket to his work, we need to subtract the distance from the supermarket to his house from the distance from his house to his work.
    4) The distance from the supermarket to his house is (25 / 41) miles.
    5) The distance from his house to his work is (17 / 3) miles.
    6) So the distance from the supermarket to his work is (17 / 3) - (25 / 41) miles.

    To calculate this, we need to find a common denominator for the fractions:
    (17 * 41) / (3 * 41) - (25 * 3) / (41 * 3)
    = (697 / 123) - (75 / 123)
    = 622 / 123

    ### Answer: 622/123 miles

Expected answer: 622/123

Correct? Yes

🔗 Follow-up

Problem: John wants to know the square of the distance between his work and the supermarket. Calculate this square distance.

Claude-3 Haiku:

    Okay, let's solve this step-by-step:

    1) We found in the previous problem that the distance between John's work and the supermarket is 622/123 miles.

    2) To find the square of this distance, we simply need to square the distance:

    (622/123)^2

    3) To calculate this, we can first square the numerator and denominator separately:

    Numerator: 622^2 = 386,884
    Denominator: 123^2 = 15,129

    4) Then we divide the numerator by the denominator:

    386,884 / 15,129 = 25.6

    ### Answer: 25.6 square miles

Expected answer: 386884/15129

Correct? No

🔗 Follow-up

Problem: Suppose the supermarket was actually (25 / 46) miles closer to his work than his house instead of the previous distance. How far is the supermarket from his work in this case?

Claude-3 Haiku:

    Okay, let's work through this step-by-step:

    1) John's house is (17 / 3) miles from his work.
    2) The supermarket is (25 / 46) miles closer to his work than his house.
    3) To find the distance from the supermarket to his work, we need to subtract the distance from the supermarket to his house from the distance from his house to his work.
    4) The distance from the supermarket to his house is (25 / 46) miles.
    5) The distance from his house to his work is (17 / 3) miles.
    6) So the distance from the supermarket to his work is (17 / 3) - (25 / 46) miles.

    To calculate this, we need to find a common denominator for the fractions:
    (17 * 46) / (3 * 46) - (25 * 3) / (46 * 3)
    = (782 / 138) - (75 / 138)
    = 707 / 138

    ### Answer: 707/138 miles

Expected answer: 707/138

Correct? Yes

🔗 Problem

Problem: A bank has $12 in one-dollar bills. They received an additional $36 from a deposit. After paying out $8, how much money does the bank now have in one-dollar bills?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    1. The bank initially had $12 in one-dollar bills.
    2. They received an additional $36 from a deposit.
    3. So the total amount of one-dollar bills the bank had after the deposit was $12 + $36 = $48.
    4. They then paid out $8.
    5. So the final amount of one-dollar bills the bank now has is $48 - $8 = $40.

    ### Answer: $40

Expected answer: 40

Correct? Yes

🔗 Follow-up

Problem: Following the previous scenario, suppose the bank received an uncommon payment of $19/11. How much money does the bank have now in one-dollar bills after this unusual deposit?

Claude-3 Haiku:

    Okay, let's work through this step-by-step:

    1. Initially, the bank had $40 in one-dollar bills (from the previous scenario).
    2. They received an uncommon payment of $19/11.
    3. To calculate the amount of this uncommon payment, we divide $19 by 11, which gives us $1.72727.
    4. So the bank received an additional $1.72727 from this uncommon payment.
    5. Adding the initial $40 and the $1.72727 from the uncommon payment, the bank now has a total of $41.72727 in one-dollar bills.

    ### Answer: $41.73

Expected answer: 459/11

Correct? No

🔗 Follow-up

Problem: Following the previous scenario, suppose the bank had originally started with $12 in one-dollar bills. But this time, they received a smaller deposit of $22 instead of $36. After paying out the same $8, how much would the bank now have in one-dollar bills in this revised situation?

Claude-3 Haiku:

    Okay, let's work through this revised scenario step-by-step:

    1. The bank originally had $12 in one-dollar bills.
    2. They received a deposit of $22 this time, instead of $36.
    3. So the total amount of one-dollar bills the bank had after the deposit was $12 + $22 = $34.
    4. They then paid out $8.
    5. So the final amount of one-dollar bills the bank now has is $34 - $8 = $26.

    ### Answer: $26

Expected answer: 26

Correct? Yes

🔗 Problem

Problem: Samantha has $28 in her bank account. Later, she found a few coins amounting to 46/41 dollars on the street and added them to her savings. How much money does she have now in her bank account?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    1) Samantha initially had $28 in her bank account.
    2) She found some coins on the street that amounted to 46/41 dollars.
    3) To calculate the value of the coins she found, we need to convert 46/41 dollars to a decimal:
    46/41 = 1.1219512195121951 dollars
    4) Now we can add the amount of money she found to the initial $28 in her bank account:
    $28 + $1.1219512195121951 = $29.1219512195121951
    ### Answer: $29.12

Expected answer: 1194/41

Correct? No

🔗 Problem

Problem: In a money counting contest, James had $37. Then his little brother gave him 14/19 of a dollar from his piggy bank. How much money does James have now?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    1) James originally had $37.
    2) His little brother gave him 14/19 of a dollar from his piggy bank.
    To calculate how much 14/19 of a dollar is, we can convert it to a decimal:
    14/19 = 0.7368421052631579
    3) Now we add the amount his brother gave him to the original $37 that James had:
    $37 + $0.7368421052631579 = $37.7368421052631579
    ### Answer: $37.74

Expected answer: 717/19

Correct? No

🔗 Problem

Problem: Sophia spends 40 dollars every 28 days to fill up her car's fuel tank. How much does she spend each day for her fuel?

Claude-3 Haiku:

    Reasoning:
    * Sophia spends $40 every 28 days to fill up her car's fuel tank.
    * To find the daily cost, we need to divide the total cost ($40) by the number of days (28).
    * $40 / 28 days = $1.43 per day.

    ### Answer: $1.43

Expected answer: 10/7

Correct? No

🔗 Problem

Problem: Roberto has 50 ounces of juice. He splits the juice into 17 equal parts. He then takes the juice from one part and pours it into a container. He then takes 34/44 of what is in that container and pours it into another container. How much juice is now in the second container?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    1. Roberto has 50 ounces of juice.
    2. He splits the juice into 17 equal parts.
       * Each part is 50 / 17 = 2.94 ounces.
    3. He takes the juice from one part and pours it into a container.
       * That's 2.94 ounces.
    4. He then takes 34/44 of what is in that container and pours it into another container.
       * 34/44 of 2.94 ounces = (34/44) * 2.94 = 2.27 ounces.

    ### Answer: 2.27 ounces

Expected answer: 25/11

Correct? No

🔗 Problem

Problem: John wants to save some money to buy a video game. The game costs $40, but John already has $29. Every week, John is able to save 20/48 of the money he needs. After a certain period of time, he decides to put all his savings so far into an investment account. The account promises a return of 41/11 times the money invested after a year. How much money will John have in his investment account after a year?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:

    1. The video game costs $40, and John already has $29.
    2. John needs to save the remaining $40 - $29 = $11.
    3. Every week, John is able to save 20/48 of the money he needs, which is 20/48 * $11 = $4.58.
    4. After a certain period of time, John decides to put all his savings so far into an investment account.
    5. The account promises a return of 41/11 times the money invested after a year.

    Now, let's calculate how much money John will have in his investment account after a year:
    * John saves $4.58 per week.
    * Let's say it takes him 3 weeks to save the $11 he needs.
    * So, the total amount he invests is 3 * $4.58 = $13.74.
    * The account promises a return of 41/11 times the money invested, which is 41/11 * $13.74 = $51.18.

    ### Answer: $51.18

Expected answer: 205/12

Correct? No

🔗 Problem

Problem: Maria starts with 13/3 euros in her pocket. She buys a candy bar that costs 32/15 euros. How much money does Maria have left?

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    1) Maria starts with 13/3 euros in her pocket.
    2) She buys a candy bar that costs 32/15 euros.
    3) To find how much money she has left, we need to subtract the cost of the candy bar from the amount of money she started with.

    First, let's convert the fractions to have a common denominator:
    13/3 = 39/9
    32/15 = 48/15

    Now we can subtract:
    39/9 - 48/15 = (39*15 - 48*9) / (9*15)
    = (585 - 432) / 135
    = 153 / 135
    = 17/15

    ### Answer: 17/15 euros

Expected answer: 11/5

Correct? No

🔗 Problem

Problem: A carpenter cuts a piece of lumber into pieces that are each 45/44 meters long. How long would 20 pieces of such lumber be in total?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * The carpenter cuts a piece of lumber into pieces that are each 45/44 meters long.
    * We need to find the total length of 20 pieces of such lumber.

    To calculate the total length, we need to:
    1. Find the length of one piece of lumber.
    2. Multiply the length of one piece by the number of pieces (20).

    Step 1: Finding the length of one piece of lumber.
    * The length of each piece is 45/44 meters.

    Step 2: Calculating the total length of 20 pieces.
    * Total length = Length of one piece × Number of pieces
    * Total length = 45/44 meters × 20
    * Total length = 1,000/44 meters
    * Total length = 22.727 meters

    ### Answer: 22.727 meters

Expected answer: 225/11

Correct? No

🔗 Problem

Problem: A sprinter runs two sections of a race. The first part is run at a speed of 34 miles per 14 hours, and the second part is run at a speed of 21 miles per 26 hours. How much distance does the sprinter cover in one hour from both parts together?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:

    First part:
    * Speed = 34 miles / 14 hours
    * Speed = 34/14 = 2.43 miles per hour

    Second part:
    * Speed = 21 miles / 26 hours
    * Speed = 21/26 = 0.81 miles per hour

    Now, we need to find the total distance covered in one hour from both parts together.

    Total distance covered in one hour = Distance from first part + Distance from second part
    Total distance covered in one hour = (2.43 miles/hour) + (0.81 miles/hour)
    Total distance covered in one hour = 3.24 miles

    ### Answer: 3.24 miles

Expected answer: 589/182

Correct? No

🔗 Problem

Problem: Tom has $30 in his wallet and finds $14 on the ground. Later, he gets $25 as a birthday gift. How much money does Tom have now?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    1. Tom initially has $30 in his wallet.
    2. He then finds $14 on the ground.
    3. So now he has $30 + $14 = $44.
    4. Later, he receives a $25 birthday gift.
    5. So now he has $44 + $25 = $69.

    ### Answer: $69

Expected answer: 69

Correct? Yes

🔗 Follow-up

Problem: Following from the previous problem, now Tom decides to do some chores for his neighbor and earns an additional value equivalent to 37/33 dollars. How much money does Tom have now after receiving this additional amount?

Claude-3 Haiku:

    Okay, let's work this out step-by-step:

    1. In the previous problem, Tom had $69.
    2. Now, he earns an additional amount equivalent to 37/33 dollars.
    3. To calculate the additional amount:
       37/33 dollars = $1.12 (rounded to 2 decimal places)
    4. So, the total amount of money Tom has now is:
       $69 + $1.12 = $70.12

    ### Answer: $70.12

Expected answer: 2314/33

Correct? No

🔗 Problem

Problem: Jenny is on a running exercise. She ran for 41/32 miles in the first round, and then took a break. After resting, she ran for another 11/4 miles. How many miles in total did she run?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    1) Jenny ran for 41/32 miles in the first round.
    2) After a break, she ran for another 11/4 miles.
    3) To find the total miles she ran, we need to add the two distances together.

    Converting the fractions to a common denominator:
    41/32 = (41 * 4) / (32 * 4) = 164/128
    11/4 = (11 * 32) / (4 * 32) = 352/128

    Now we can add the two distances:
    164/128 + 352/128 = 516/128

    To simplify the final answer, we can convert the fraction to a mixed number:
    516/128 = 4 + 4/128

    ### Answer: 4 4/128 miles

Expected answer: 129/32

Correct? Yes

🔗 Follow-up

Problem: After her running exercise, Jenny decided to continue with a cycling exercise. She cycled for an additional 15 miles. What is the total distance that Jenny covered in both her running and cycling exercise?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    1) Jenny ran a total of 4 4/128 miles in her running exercise.
    2) After the running exercise, she cycled for an additional 15 miles.
    3) To find the total distance she covered, we need to add the running and cycling distances together.

    Converting the fraction 4 4/128 to a decimal:
    4 4/128 = 4.03125 miles

    Now we can add the running and cycling distances:
    4.03125 miles + 15 miles = 19.03125 miles

    ### Answer: 19.03125 miles

Expected answer: 609/32

Correct? No

🔗 Follow-up

Problem: Suppose Jenny's running exercise has changed and she ran a shorter distance during her second round. In the first round, she ran for 41/32 miles and then, after resting, she ran for another 3/4 miles in the second round. How many miles in total did she run now?

Claude-3 Haiku:

    Okay, let's solve this step-by-step:

    1) In the first round, Jenny ran 41/32 miles.
    2) In the second round, she ran 3/4 miles.
    3) To find the total miles she ran, we need to add the two distances together.

    Converting the fractions to a common denominator:
    41/32 = (41 * 4) / (32 * 4) = 164/128
    3/4 = (3 * 32) / (4 * 32) = 96/128

    Now we can add the two distances:
    164/128 + 96/128 = 260/128

    To simplify the final answer, we can convert the fraction to a mixed number:
    260/128 = 2 + 4/128

    ### Answer: 2 4/128 miles

Expected answer: 65/32

Correct? Yes

🔗 Problem

Problem: John had $32 in his wallet. He then found a $33 bill on the floor. How much money does John have now?

Claude-3 Haiku:

    Reasoning:
    John had $32 in his wallet initially.
    He then found a $33 bill on the floor.
    To calculate the total amount of money John has now, we add the $32 from his wallet and the $33 he found on the floor.
    $32 + $33 = $65
    ### Answer: $65

Expected answer: 65

Correct? Yes

🔗 Follow-up

Problem: Suppose that initially, John only had $3 in his wallet instead of $32 before he found the $33 bill. How much money would John have had in that case before buying the video game?

Claude-3 Haiku:

    Okay, let's work through this step-by-step:
    * Initially, John had $3 in his wallet
    * He then found a $33 bill on the floor
    * To calculate the total amount of money John had before buying the video game, we add the $3 from his wallet and the $33 he found on the floor:
    * $3 + $33 = $36
    ### Answer: $36

Expected answer: 36

Correct? Yes

🔗 Problem

Problem: Carrie rode her bike for 7 hours, and then another 38/25 of an hour. If she was able to cover 35 kilometers in each hour, how many kilometers did she cover in total?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    1) Carrie rode her bike for 7 hours.
    2) She then rode for another 38/25 of an hour.
    3) She was able to cover 35 kilometers in each hour.
    4) For the first 7 hours, she covered 7 * 35 = 245 kilometers.
    5) For the additional 38/25 of an hour, she covered (38/25) * 35 = 53.6 kilometers.
    6) The total distance she covered is 245 + 53.6 = 298.6 kilometers.

    ### Answer: 298.6 kilometers.

Expected answer: 1491/5

Correct? No

🔗 Problem

Problem: John saved $17 in January. He then added $10 more for the month of February. How much total money has he saved after February?

Claude-3 Haiku:

    Reasoning:
    In January, John saved $17.
    In February, John added $10 more.
    The total amount of money John has saved after February is the sum of the amounts saved in January and February.
    The total amount saved = $17 (January) + $10 (February) = $27.
    ### Answer: $27

Expected answer: 27

Correct? Yes

🔗 Follow-up

Problem: In March, John saved an additional $14. How much money does he have in total after saving in March?

Claude-3 Haiku:

    Reasoning:
    In January, John saved $17.
    In February, John added $10 more.
    The total amount saved after February was $17 + $10 = $27.
    In March, John saved an additional $14.
    The total amount of money John has saved after March is the sum of the amounts saved in January, February, and March.
    The total amount saved = $27 (after February) + $14 (March) = $41.
    ### Answer: $41

Expected answer: 41

Correct? Yes

🔗 Follow-up

Problem: If John initially saved $28 in January instead of $17 and added $10 more for the month of February as earlier, how much total money would he have saved after February?

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    * In January, John saved $28
    * In February, John added $10 more
    * To find the total money John has saved after February, we add the amounts saved in January and February:
    * Total money saved = $28 (January) + $10 (February)
    * Total money saved = $28 + $10 = $38

    ### Answer: $38

Expected answer: 38

Correct? Yes

🔗 Problem

Problem: A car travels 41 miles per hour on a trip that lasts 20/11 hours. How far did the car travel during this trip?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * The car travels 41 miles per hour
    * The trip lasts 20/11 hours
    * To find the total distance traveled, we need to multiply the speed by the time:
    * Distance = Speed x Time
    * Distance = 41 miles/hour x (20/11) hours
    * Distance = (41 x 20) / 11 miles
    * Distance = 820 / 11 miles
    * Distance = <<820/11 = 74.545>> 74.545 miles

    ### Answer: 74.545 miles

Expected answer: 820/11

Correct? No

🔗 Problem

Problem: Tony has 38 books in his collection. If each book cost him 21 dollars, how much money did he spend in total on his book collection?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * Tony has 38 books in his collection
    * Each book cost him $21
    * To find the total amount of money he spent, we need to multiply the number of books by the cost per book:
    * 38 books x $21 per book = $<<38 x 21 = 798>>798

    ### Answer: $798

Expected answer: 798

Correct? Yes

🔗 Follow-up

Problem: In the previous problem, we considered that Tony has 38 books, each costing him 21 dollars. Now, consider that Tony actually spent 24 dollars on each book. How much money did Tony spend in total on his book collection now?

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    * Tony has 38 books in his collection
    * Each book now costs $24
    * To find the total amount of money he spent, we need to multiply the number of books by the new cost per book:
    * 38 books x $24 per book = $<<38 x 24 = 912>>912

    ### Answer: $912

Expected answer: 912

Correct? Yes

🔗 Problem

Problem: Johnnie's car uses 16 liters of gas every hour. How many liters of gas would it use if he drives continuously for 19 hours?

Claude-3 Haiku:

    Reasoning:
    Johnnie's car uses 16 liters of gas every hour.
    If he drives continuously for 19 hours, then the total amount of gas used would be:
    16 liters per hour × 19 hours = 304 liters.

    ### Answer: 304

Expected answer: 304

Correct? Yes

🔗 Follow-up

Problem: Johnnie's car uses 16 liters of gas every hour. How many liters of gas would it use if he drives continuously for 19 hours? If Johnnie already had 17 liters of gas in his tank before starting the journey, how many more liters does he need to complete his drive?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:

    1. Johnnie's car uses 16 liters of gas every hour.
    2. If he drives continuously for 19 hours, then the total amount of gas used would be:
       16 liters per hour × 19 hours = 304 liters.

    Now, the second part of the question:
    3. Johnnie already had 17 liters of gas in his tank before starting the journey.
    4. To calculate how many more liters he needs, we take the total gas used (304 liters) and subtract the amount he already had (17 liters):
       304 liters - 17 liters = 287 liters.

    ### Answer: 287

Expected answer: 287

Correct? Yes

🔗 Follow-up

Problem: Johnnie's car uses 16 liters of gas every hour. In the previous problem, he was planning to drive for 19 hours. However, what if he is now planning to drive continuously for 39 hours instead? How many liters of gas would he need then?

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    * Johnnie's car uses 16 liters of gas every hour
    * In the previous problem, he was planning to drive for 19 hours
    * Now, he is planning to drive continuously for 39 hours

    To calculate the total amount of gas needed for 39 hours of driving:
    * Gas used per hour: 16 liters
    * Total hours of driving: 39 hours
    * Total gas needed = 16 liters/hour × 39 hours = 624 liters

    ### Answer: 624

Expected answer: 624

Correct? Yes

🔗 Problem

Problem: Joe was tasked with distributing 40 pamphlets each day. On day 19, how many pamphlets has Joe distributed in total?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * Joe was tasked with distributing 40 pamphlets each day
    * We need to find the total number of pamphlets he has distributed by day 19

    To calculate the total number of pamphlets distributed, we need to multiply the number of pamphlets per day (40) by the number of days (19).

    Total pamphlets distributed = 40 pamphlets per day x 19 days
    = 760 pamphlets

    ### Answer: 760

Expected answer: 760

Correct? Yes

🔗 Follow-up

Problem: After distributing pamphlets for 19 days, Joe realizes he made a mistake and had to destroy 5 of the pamphlets initially considered distributed. How many pamphlets has Joe actually distributed after accounting for this error?

Claude-3 Haiku:

    Okay, let's work through this step-by-step:
    * Joe initially distributed 40 pamphlets per day for 19 days
    * This means the total number of pamphlets initially distributed was:
      - 40 pamphlets per day x 19 days = 760 pamphlets
    * However, Joe then realized he made a mistake and had to destroy 5 of the pamphlets
    * So the actual number of pamphlets distributed, after accounting for the 5 destroyed, is:
      - 760 pamphlets - 5 pamphlets = 755 pamphlets

    ### Answer: 755

Expected answer: 755

Correct? Yes

🔗 Follow-up

Problem: Joe initially thought that he was supposed to distribute 40 pamphlets each day. However, he was actually supposed to distribute 27 pamphlets daily. Therefore, how many pamphlets should he have distributed after 19 days, excluding the ones he incorrectly distributed and had to destroy?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * Joe initially thought he was supposed to distribute 40 pamphlets per day
    * He actually was supposed to distribute 27 pamphlets per day
    * He distributed the incorrect 40 pamphlets per day for 19 days
    * We need to find the correct number of pamphlets he should have distributed after 19 days

    First, let's calculate the number of pamphlets he incorrectly distributed:
    * 40 pamphlets per day x 19 days = 760 pamphlets

    Now, let's calculate the correct number of pamphlets he should have distributed:
    * 27 pamphlets per day x 19 days = 513 pamphlets

    Therefore, the number of pamphlets he should have distributed after 19 days, excluding the ones he incorrectly distributed and had to destroy, is 513.

    ### Answer: 513

Expected answer: 513

Correct? Yes

🔗 Problem

Problem: A farmer harvested 16/5 bushels of corn per acre. Meanwhile, the farmer has 42 acres of land but has to let 49/4 acres lie fallow. How many bushels of corn does the farmer harvest from the land that was not fallow?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    1) The farmer harvested 16/5 bushels of corn per acre.
    2) The farmer has 42 acres of land.
    3) The farmer has to let 49/4 acres lie fallow.
    4) To find the number of acres that were not fallow, we subtract the fallow acres from the total acres:
       * Total acres: 42
       * Fallow acres: 49/4 = 12.25
       * Non-fallow acres: 42 - 12.25 = 29.75 acres
    5) Now we can calculate the total bushels of corn harvested from the non-fallow land:
       * Bushels per acre: 16/5 = 3.2
       * Total bushels: 3.2 x 29.75 = 95.2 bushels

    ### Answer: 95.2 bushels

Expected answer: 476/5

Correct? No

🔗 Problem

Problem: Jennifer is selling lemonade for a fundraiser. Every jug she sells contains 21 gallons of lemonade. Due to evaporation, when she sells the jugs she only receives 31/34 of the volume she originally had. How much lemonade does Jennifer have after selling a full jug?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * Each jug of lemonade contains 21 gallons
    * Due to evaporation, when Jennifer sells the jugs, she only receives 31/34 of the original volume
    * To find the amount of lemonade Jennifer has after selling a full jug, we need to calculate the remaining volume after the evaporation.

    Calculation:
    * Original volume of lemonade in each jug: 21 gallons
    * Remaining volume after evaporation: 21 gallons * (31/34) = 19.21 gallons

    Therefore, after selling a full jug, Jennifer has 19.21 gallons of lemonade remaining.

    ### Answer: 19.21 gallons

Expected answer: 651/34

Correct? No

🔗 Problem

Problem: Jane cycles at a rate of 11 km/h for 45 hours. In addition to this distance, Jane also decides to cycle for another distance that equals exactly 1 km. How many kilometers in total does Jane cycle?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * Jane cycles at a rate of 11 km/h for 45 hours
    * To find the distance she cycles in the first 45 hours, we multiply the rate by the time:
      * 11 km/h x 45 h = 495 km
    * In addition to this, Jane cycles another 1 km
    * So the total distance Jane cycles is:
      * 495 km + 1 km = 496 km

    ### Answer: 496 km

Expected answer: 496

Correct? Yes

🔗 Follow-up

Problem: After cycling the total distance as calculated earlier, Jane realizes she needs to get an object that is 30 km back from her current location. How many kilometers is the object from her starting point?

Claude-3 Haiku:

    Okay, let's think this through step-by-step:
    * Jane cycled a total of 496 km
    * She then needs to get an object that is 30 km back from her current location
    * To find the distance of the object from her starting point, we need to subtract the 30 km from the total distance she cycled:
      * 496 km - 30 km = 466 km

    ### Answer: 466 km

Expected answer: 466

Correct? Yes

🔗 Problem

Problem: George had $21 in his wallet, then he found a bundle of change on the street worth $21/39. How much money does George have now?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    1) George had $21 in his wallet.
    2) He then found a bundle of change on the street worth $21/39.
    To calculate the value of the bundle of change:
    * $21/39 = $0.54
    So the bundle of change was worth $0.54.
    3) To calculate the total amount of money George has now, we add the $21 in his wallet to the $0.54 he found:
    * $21 + $0.54 = $21.54

    ### Answer: $21.54

Expected answer: 280/13

Correct? No

🔗 Problem

Problem: John is on a bike ride. He bikes 46 miles to the town of Baker, and then another 41 miles to the town of Nelson. How many total miles did John bike?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * John bikes 46 miles to the town of Baker
    * Then he bikes another 41 miles to the town of Nelson
    * To find the total miles John biked, we add the two distances together:
    * 46 miles + 41 miles = 87 miles

    ### Answer: 87

Expected answer: 87

Correct? Yes

🔗 Follow-up

Problem: After cycling a total of 46 + 41 miles, John realized that he had miscounted. Instead of cycling 46 miles to the town of Baker, he had actually cycled only 8 miles. How many total miles did John bike when he reached the town of Nelson?

Claude-3 Haiku:

    Okay, let's recalculate the total miles John biked:

    * Originally, John biked 46 miles to the town of Baker, then 41 miles to the town of Nelson.
    * But John actually only biked 8 miles to the town of Baker, not 46 miles.
    * So the total miles John biked is:
    * 8 miles to Baker + 41 miles to Nelson = 49 miles

    ### Answer: 49

Expected answer: 49

Correct? Yes

🔗 Problem

Problem: John earns 4 dollars per hour at his part-time job. If he works for 9 hours, how much money does John earn in total?

Claude-3 Haiku:

    Reasoning:
    John earns $4 per hour.
    He works for 9 hours.
    To calculate the total amount of money he earns, we multiply the hourly rate by the number of hours worked:
    $4 per hour x 9 hours = <<4 x 9 = 36>>$36

    ### Answer: $36

Expected answer: 36

Correct? Yes

🔗 Follow-up

Problem: If John and his siblings each earn 4 dollars per hour but instead of working for 9 hours they worked for 39 hours, how much does each person earns individually?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * John and his siblings each earn $4 per hour
    * They worked for 39 hours

    To calculate the total amount each person earns individually, we multiply the hourly rate by the number of hours worked:
    * $4 per hour x 39 hours = <<4 x 39 = 156>>$156

    ### Answer: $156

Expected answer: 156

Correct? Yes

🔗 Problem

Problem: Jack had 38 dollars. He then earned 41/48 of a dollar from recycling cans. The next day, he found a quarter (or 23/24 of a dollar) on the ground. How much money does Jack have now?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    1) Jack had $38 to start with.
    2) He then earned 41/48 of a dollar from recycling cans.
       * To calculate this, we take 41/48 of $1, which is $0.85416667.
    3) The next day, he found a quarter, which is 23/24 of a dollar.
       * 23/24 of $1 is $0.95833333.
    4) To calculate the total amount of money Jack has now, we add up the three amounts:
       * $38 + $0.85416667 + $0.95833333 = $39.81250000

    ### Answer: $39.81

Expected answer: 637/16

Correct? No

🔗 Problem

Problem: Jenny drove for a total of 29 hours at a speed of 32/24 miles per hour. How far could she travel if her speed increased by a factor of 43/15?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    1) Jenny drove for a total of 29 hours at a speed of 32/24 miles per hour.
    2) To find the distance she traveled, we multiply the time (29 hours) by the speed (32/24 miles per hour):
       Distance = Time × Speed
       Distance = 29 hours × (32/24) miles per hour
       Distance = 29 × (32/24) miles
       Distance = 38.67 miles

    3) Now, her speed is increased by a factor of 43/15.
       New Speed = (32/24) × (43/15) miles per hour
       New Speed = 46.22 miles per hour

    4) To find the new distance she could travel, we multiply the new speed by the same time of 29 hours:
       New Distance = Time × New Speed
       New Distance = 29 hours × 46.22 miles per hour
       New Distance = 1,340.38 miles

    ### Answer: 1,340.38 miles

Expected answer: 4988/45

Correct? No

🔗 Problem

Problem: During an art class, students used liquid paint. Every child received 16/31 litres of paint. If there were 32 children in the class, what is the total amount of paint distributed to all the students?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * Each child received 16/31 litres of paint
    * There were 32 children in the class

    To find the total amount of paint distributed, we need to:
    1. Calculate the amount of paint each child received
    2. Multiply that amount by the number of children

    Step 1: Amount of paint per child
    * Each child received 16/31 litres of paint

    Step 2: Total amount of paint distributed
    * Total paint = Amount per child x Number of children
    * Total paint = 16/31 litres x 32 children
    * Total paint = (16 x 32) / 31 litres
    * Total paint = 512 / 31 litres
    * Total paint = <<512/31 = 16.516>> 16.516 litres

    ### Answer: 16.516 litres

Expected answer: 512/31

Correct? No

🔗 Problem

Problem: Bob has $3 in his piggy bank. He then receives some more money, which is 3/7 of a dollar. How much money does Bob have in total?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    1) Bob initially has $3 in his piggy bank.
    2) He then receives an additional amount of money, which is 3/7 of a dollar.
    3) To calculate the total amount of money Bob has, we need to add the initial $3 and the additional 3/7 of a dollar.

    To calculate the additional amount:
    * 3/7 of a dollar = $0.43 (rounded to the nearest cent)

    Now, to calculate the total amount of money Bob has:
    * $3 + $0.43 = $3.43

    ### Answer: $3.43

Expected answer: 24/7

Correct? No

🔗 Problem

Problem: Tom moved two rocks today. The first rock was moved for an interval of 20/50 hours, and the second was moved for an interval of 45/36 hours. If Tom can move rocks at a speed of 25/22 miles per hour, how far in miles did he move the rocks today?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    1) The first rock was moved for an interval of 20/50 hours.
    2) The second rock was moved for an interval of 45/36 hours.
    3) Tom can move rocks at a speed of 25/22 miles per hour.

    To find the total distance moved, we need to calculate the distance for each rock and then add them together.

    For the first rock:
    * Distance = Speed x Time
    * Distance = (25/22) miles/hour x (20/50) hours
    * Distance = (25/22) x (20/50) miles
    * Distance = 5/22 miles

    For the second rock:
    * Distance = Speed x Time
    * Distance = (25/22) miles/hour x (45/36) hours
    * Distance = (25/22) x (45/36) miles
    * Distance = 25/16 miles

    Total distance moved:
    * Total distance = Distance of first rock + Distance of second rock
    * Total distance = (5/22) miles + (25/16) miles
    * Total distance = (5/22 + 25/16) miles
    * Total distance = (80/352 + 125/352) miles
    * Total distance = 205/352 miles

    ### Answer: 205/352 miles

Expected answer: 15/8

Correct? No

🔗 Problem

Problem: A scientist mixes 10/42 liters of solution A and 32 liters of solution B to create a mixture. She then removes 4/28 liters from this mixture. If she then decides to extract 11/29 of the remaining mixture for an experiment, how much solution is she using for her experiment?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    1. The scientist mixes 10/42 liters of solution A and 32 liters of solution B to create a mixture.
       * Total amount of the initial mixture = 10/42 + 32 = 32.238 liters

    2. The scientist then removes 4/28 liters from this mixture.
       * Amount removed = 4/28 liters
       * Remaining mixture = 32.238 - 4/28 = 32.143 liters

    3. The scientist then decides to extract 11/29 of the remaining mixture for an experiment.
       * Amount extracted = 11/29 * 32.143 = 12.25 liters

    ### Answer: 12.25 liters

Expected answer: 7414/609

Correct? No

🔗 Problem

Problem: A factory produces 24 chairs in an hour. How many chairs would it produce in 25 hours?

Claude-3 Haiku:

    Reasoning:
    * The factory produces 24 chairs in 1 hour
    * We want to find how many chairs it would produce in 25 hours
    * To do this, we multiply the number of chairs produced per hour (24) by the number of hours (25)
    * 24 chairs per hour x 25 hours = <<24 x 25 = 600>> 600 chairs

    ### Answer: 600

Expected answer: 600

Correct? Yes

🔗 Follow-up

Problem: One day, the factory decides to increase its production and manufactures 24 chairs per hour for 39 hours instead of the regular 25 hours. How many chairs would be produced in these 39 hours?

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    * The factory produces 24 chairs per hour
    * They work for 39 hours instead of the regular 25 hours
    * To find the total number of chairs produced, we multiply the chairs per hour (24) by the number of hours (39)
    * 24 chairs per hour x 39 hours = <<24 x 39 = 936>> 936 chairs

    ### Answer: 936

Expected answer: 936

Correct? Yes

🔗 Problem

Problem: There are two containers of juice. The first one contains 23/35 gallon. The second one contains 50/41 gallon. After mixing the two containers of juice together, it was transferred into a bottle which can hold 28 gallons. How much space is left in the bottle after subtracting 11/19 gallon which was drunk by a customer?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:

    1. The first container has 23/35 gallon of juice.
    2. The second container has 50/41 gallon of juice.
    3. We mix the two containers together.
    4. The total amount of juice is 23/35 + 50/41 gallons.
    5. To find the total amount of juice, we need to find the common denominator. The least common denominator of 35 and 41 is 1435.
    6. 23/35 = 660/1435 gallons
    7. 50/41 = 1220/1435 gallons
    8. The total amount of juice is 660/1435 + 1220/1435 = 1880/1435 gallons.
    9. The bottle can hold 28 gallons.
    10. 11/19 gallon was drunk by a customer.
    11. The amount of space left in the bottle is 28 - 1880/1435 + 11/19 gallons.

    ### Answer: 28 - 1880/1435 + 11/19 gallons

Expected answer: 696468/27265

Correct? No

🔗 Problem

Problem: In a bakery, they charge $47 for a regular cake. However, for custom designs, they charge an additional fee of $6 divided by the 26 available designs. What is the total cost if you decide to buy a regular cake with a custom design?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * The regular cake costs $47
    * For a custom design, there is an additional fee of $6 divided by the 26 available designs
    * To calculate the additional fee for the custom design:
      * $6 divided by 26 available designs = $0.23 per design
    * So the total cost for a regular cake with a custom design would be:
      * Regular cake cost: $47
      * Additional custom design fee: $0.23
    * Therefore, the total cost is:
      $47 + $0.23 = $47.23

    ### Answer: $47.23

Expected answer: 614/13

Correct? No

🔗 Problem

Problem: John bought a drone that can fly 3 kilometers, but when it's carrying a delivery package, it can only fly 50 / 43 kilometers less. When the drone is attached with an additional booster, it can fly an additional 47 / 15 kilometers. How far can the drone fly with the package and the additional booster attached?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    1. The drone can fly 3 kilometers without any package or booster.
    2. When carrying a delivery package, the drone can only fly 50/43 kilometers less than the original 3 kilometers.
       * So, the distance the drone can fly with the package is 3 - (50/43) = 3 - 1.16 = 1.84 kilometers.
    3. When the drone is attached with an additional booster, it can fly an additional 47/15 kilometers.
       * So, the total distance the drone can fly with the package and the additional booster is 1.84 + (47/15) = 1.84 + 3.13 = 4.97 kilometers.

    ### Answer: 4.97 kilometers

Expected answer: 3206/645

Correct? No

🔗 Problem

Problem: Ann runs 43/18 kilometers every morning and 22/9 kilometers every evening. How many kilometers does she run in a day?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * Ann runs 43/18 kilometers every morning
    * Ann runs 22/9 kilometers every evening
    * To find the total kilometers she runs in a day, we need to add the morning and evening runs together

    First, let's convert the fractions to decimals:
    * 43/18 = 2.3889 kilometers in the morning
    * 22/9 = 2.4444 kilometers in the evening

    Now, we can add the morning and evening runs together:
    * 2.3889 + 2.4444 = 4.8333 kilometers per day

    ### Answer: 4.8333 kilometers

Expected answer: 29/6

Correct? No

🔗 Problem

Problem: A car can travel 36 miles on a 1-gallon tank of gas. If the car has a 19-gallon tank, how far can it travel without needing to refuel?

Claude-3 Haiku:

    Reasoning:
    * The car can travel 36 miles on 1 gallon of gas.
    * The car has a 19-gallon tank.
    * To find the total distance the car can travel without refueling, we need to multiply the number of gallons in the tank (19) by the number of miles per gallon (36).

    Total distance = 19 gallons × 36 miles/gallon = <<19 × 36 = 684>>684 miles

    ### Answer: 684 miles

Expected answer: 684

Correct? Yes

🔗 Follow-up

Problem: The car had previously been calculated to travel 36 miles per gallon over 19 gallons. However, the measurement turned out to be incorrect and it was actually 50 miles per gallon over the same 19 gallons fuel. What would be the total distance the car could travel on a full tank with this new mileage measurement?

Claude-3 Haiku:

    Okay, let's solve this step-by-step:

    * Originally, the car was calculated to travel 36 miles per gallon over a 19-gallon tank.
    * The new measurement shows the car actually travels 50 miles per gallon over the same 19-gallon tank.

    To find the total distance the car can travel on a full tank with the new mileage measurement:

    * Total distance = Number of gallons in the tank × Miles per gallon
    * Total distance = 19 gallons × 50 miles/gallon
    * Total distance = <<19 × 50 = 950>>950 miles

    ### Answer: 950 miles

Expected answer: 950

Correct? Yes

🔗 Problem

Problem: John drove 18 miles each hour for 36 hours. After that, he drove an extra distance of 32/45 miles. How many miles did he drive in total?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    1) John drove 18 miles each hour for 36 hours.
       * 18 miles/hour x 36 hours = 648 miles

    2) After that, he drove an extra distance of 32/45 miles.
       * 32/45 miles = 0.711 miles

    3) To find the total miles driven, we add the two distances:
       * 648 miles + 0.711 miles = 648.711 miles

    ### Answer: 648.711 miles

Expected answer: 29192/45

Correct? No

🔗 Problem

Problem: A car travels at a speed of 40 / 31 miles per minute. How far will it travel in 10 minutes?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * The car travels at a speed of 40/31 miles per minute
    * We want to know how far it will travel in 10 minutes

    To calculate the distance traveled, we need to multiply the speed by the time:
    * Distance = Speed x Time
    * Distance = (40/31) miles/minute x 10 minutes
    * Distance = (400/31) miles

    Simplifying the fraction:
    * Distance = (400/31) miles
    * Distance = 12.90 miles

    ### Answer: 12.90 miles

Expected answer: 400/31

Correct? No

🔗 Problem

Problem: John has 21 dollars and his mom gives him 11 dollars more. How much money does John have now?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    1) John originally had $21.
    2) His mom gave him $11 more.
    3) To find the total amount of money John has now, we add the original $21 and the $11 his mom gave him.
    4) $21 + $11 = $32.

    ### Answer: $32

Expected answer: 32

Correct? Yes

🔗 Follow-up

Problem: John has 21 dollars and his mom gives him 11 dollars more. Now, John's dad matches whatever amount John has. How much money does John's dad give him?

Claude-3 Haiku:

    Okay, let's go through this step-by-step:
    1) John originally had $21.
    2) His mom gave him $11 more, so now he has $21 + $11 = $32.
    3) Now, John's dad matches whatever amount John has, which is $32.
    4) So, the amount of money John's dad gives him is $32.

    ### Answer: $32

Expected answer: 32

Correct? Yes

🔗 Problem

Problem: Samuel has $17. He finds $30 on the street. If he then converts all his money to Euros and the exchange rate is $47 to an equivalent of 33 Euros, how much money in Euros will he have now?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    1. Samuel starts with $17.
    2. He then finds $30 on the street, so now he has $17 + $30 = $47 in total.
    3. He then converts all his money to Euros, and the exchange rate is $47 to 33 Euros.
    4. To calculate the amount of Euros he will have, we divide $47 by the exchange rate of $47 to 33 Euros.
    5. $47 / $47 per 33 Euros = 33 Euros.

    ### Answer: 33 Euros.

Expected answer: 2209/33

Correct? No

🔗 Problem

Problem: Hannah has 5 piggy banks, and each piggy bank contains 34 coins. How many coins does she have in total?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * Hannah has 5 piggy banks
    * Each piggy bank contains 34 coins
    * To find the total number of coins, we need to multiply the number of piggy banks by the number of coins in each piggy bank:
    * 5 piggy banks x 34 coins per piggy bank = 170 coins

    ### Answer: 170

Expected answer: 170

Correct? Yes

🔗 Follow-up

Problem: Initially, Hannah thought she had 5 piggy banks with 34 coins each. Upon recounting, she finds that she actually has 5 piggy banks with 27 coins each. How many coins does she have in the piggy banks after correcting her count?

Claude-3 Haiku:

    Okay, let's solve this step-by-step:

    1. Initially, Hannah thought she had 5 piggy banks with 34 coins each.
       * Total coins = 5 piggy banks x 34 coins per bank = 170 coins

    2. Upon recounting, she finds she actually has 5 piggy banks with 27 coins each.
       * Total coins = 5 piggy banks x 27 coins per bank = 135 coins

    3. So the correct total number of coins in the piggy banks is 135 coins.

    ### Answer: 135

Expected answer: 135

Correct? Yes

🔗 Problem

Problem: Alex has $13/10 in his pocket. He finds $47/36 on the floor and picks it up adding to the money he already has. If he duplicates the amount of money he has by 43 times, how much money will he have?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    1. Alex has $13/10 in his pocket.
    2. He finds $47/36 on the floor and picks it up, adding it to the money he already has.
       * So now he has $13/10 + $47/36 = $1.30 + $1.31 = $2.61
    3. He then duplicates the amount of money he has by 43 times.
       * So he now has 43 * $2.61 = $112.23

    ### Answer: $112.23

Expected answer: 20167/180

Correct? No

🔗 Problem

Problem: John had saved 20 dollars for a new toy but accidentally lost 19 dollars. How much money does he left now?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * John had saved 20 dollars for a new toy
    * He accidentally lost 19 dollars
    * To find out how much money he has left, we need to subtract the amount he lost from the amount he had saved

    So, the calculation is:
    * Amount saved: $20
    * Amount lost: $19
    * Amount left: $20 - $19 = $1

    ### Answer: $1

Expected answer: 1

Correct? Yes

🔗 Follow-up

Problem: Suppose that John originally had saved 26 dollars, but still lost 19 dollars. Now, how much money would he have left?

Claude-3 Haiku:

    Okay, let's work through this step-by-step:
    * John originally had saved $26
    * He lost $19
    * To find out how much money he has left, we need to subtract the amount he lost from the amount he had saved

    So, the calculation is:
    * Amount saved: $26
    * Amount lost: $19
    * Amount left: $26 - $19 = $7

    ### Answer: $7

Expected answer: 7

Correct? Yes

🔗 Problem

Problem: Richard bought a bottle of wine that had 33 ounces in it. He drank 33/48 of the wine. In the morning, he drank a cup of orange juice that contained 26/30 of a liter. After a few hours, he drank a bottle of water that contained 2/36 of a liter. What is the total volume of the liquid he consumed?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:

    1. Richard bought a bottle of wine with 33 ounces.
    2. He drank 33/48 of the wine.
       * To find the amount of wine he drank, we multiply 33 by 33/48:
       * 33 * (33/48) = 22.75 ounces of wine

    3. In the morning, he drank a cup of orange juice that contained 26/30 of a liter.
       * To convert 26/30 of a liter to ounces, we first need to convert it to milliliters:
       * 26/30 of a liter = 26/30 * 1000 = 866.67 milliliters
       * 866.67 milliliters = 866.67/29.57 = 29.33 ounces of orange juice

    4. After a few hours, he drank a bottle of water that contained 2/36 of a liter.
       * To convert 2/36 of a liter to ounces, we first need to convert it to milliliters:
       * 2/36 of a liter = 2/36 * 1000 = 55.56 milliliters
       * 55.56 milliliters = 55.56/29.57 = 1.88 ounces of water

    5. To find the total volume of liquid consumed, we add up the amounts:
       * 22.75 ounces of wine + 29.33 ounces of orange juice + 1.88 ounces of water = 53.96 ounces

    ### Answer: 53.96 ounces

Expected answer: 16999/720

Correct? No

🔗 Problem

Problem: Jacob has $43 in his savings account and he adds $46 to his account. A few days later, he receives an additional $27/9 from his aunt. How much money does he have in his savings account now?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    1. Jacob has $43 in his savings account initially.
    2. He then adds $46 to his account.
       * So now he has $43 + $46 = $89 in his account.
    3. A few days later, he receives an additional $27/9 from his aunt.
       * $27/9 = $3
       * So he receives an additional $3.
    4. Now, he has $89 + $3 = $92 in his savings account.

    ### Answer: $92

Expected answer: 92

Correct? Yes

🔗 Follow-up

Problem: In continuation of the above, Jacob now decides to purchase a new video game that costs $25. After purchasing the video game, what is the new balance in his savings account?

Claude-3 Haiku:

    Okay, let's continue the problem:
    1. Jacob had $92 in his savings account after receiving the $3 from his aunt.
    2. He then decides to purchase a new video game that costs $25.
    3. To calculate the new balance in his savings account, we take the previous balance and subtract the cost of the video game:
       * $92 - $25 = $67

    ### Answer: $67

Expected answer: 67

Correct? Yes

🔗 Problem

Problem: Jacob has $35 on his gift card. He buys a toy for $22. How much money does he have left on his gift card after buying the toy?

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    * Jacob has $35 on his gift card
    * He buys a toy for $22
    * To find how much money he has left on his gift card, we need to subtract the cost of the toy from the amount he had on the gift card

    $35 - $22 = $13

    ### Answer: $13

Expected answer: 13

Correct? Yes

🔗 Follow-up

Problem: Following up on Jacob's purchase, his grandmother gives him $36 more to add to his remaining gift card balance. How much money does Jacob now have on his gift card after receiving money from his grandmother?

Claude-3 Haiku:

    Okay, let's break this down:
    * Jacob had $13 left on his gift card after buying the $22 toy
    * His grandmother then gave him $36 more to add to his remaining balance

    To find the total amount Jacob now has on his gift card, we need to add the $36 from his grandmother to the $13 he had left:

    $13 + $36 = $49

    ### Answer: $49

Expected answer: 49

Correct? Yes

🔗 Follow-up

Problem: Considering a variation on the previous problem, suppose Jacob initially had $35 on his gift card, but this time he decides to buy a game that costs $15 instead of the toy. How much money would he have left on his gift card after this purchase?

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    * Jacob initially had $35 on his gift card
    * He decides to buy a game that costs $15
    * To find how much money he has left on his gift card, we need to subtract the cost of the game from the amount he had on the gift card

    $35 - $15 = $20

    ### Answer: $20

Expected answer: 20

Correct? Yes

🔗 Problem

Problem: James initially had 32 dollars. He then spent 36/5 dollars on a notepad. How many dollars does he have left after his purchase?

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    1) James initially had $32.
    2) He spent 36/5 dollars on a notepad.
    3) To calculate 36/5, we can divide 36 by 5 to get 7.2 dollars.
    4) Now, we subtract the amount he spent ($7.2) from the amount he initially had ($32).
    5) $32 - $7.2 = $24.8

    ### Answer: $24.8

Expected answer: 124/5

Correct? No

🔗 Problem

Problem: Tina spent 39 dollars on groceries. Due to a discount offer, she only had to pay 16/26 of this amount. How much money did Tina pay for the groceries?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    1) Tina originally spent $39 on groceries.
    2) Due to a discount offer, she only had to pay 16/26 of this amount.
    3) To calculate the amount Tina paid, we need to multiply the original amount ($39) by the fraction 16/26.
    4) $39 * (16/26) = $24
    Therefore, Tina paid $24 for the groceries.

    ### Answer: $24

Expected answer: 24

Correct? Yes

🔗 Follow-up

Problem: After checking her receipts carefully, Tina realized she had made another mistake. Instead of paying 16/26 of the original amount, she had actually paid 42/26. How much did she really end up paying for her groceries?

Claude-3 Haiku:

    Okay, let's work this out step-by-step:
    1) Tina originally spent $39 on groceries.
    2) She actually paid 42/26 of the original amount, not 16/26.
    3) To calculate the amount Tina really paid, we need to multiply the original amount ($39) by the fraction 42/26.
    4) $39 * (42/26) = $63

    Therefore, Tina actually ended up paying $63 for her groceries.

    ### Answer: $63

Expected answer: 63

Correct? Yes

🔗 Problem

Problem: Jaden has $19 in his savings account. If his mother gives him $10 more, what will be the total amount in his savings account?

Claude-3 Haiku:

    Reasoning:
    Jaden initially has $19 in his savings account.
    His mother gives him $10 more.
    To find the total amount in his savings account, we add the initial amount and the additional amount:
    $19 + $10 = $29
    ### Answer: $29

Expected answer: 29

Correct? Yes

🔗 Problem

Problem: John buys 17 pounds of apples every 8 days. He began noticing that his apples lasts about as long as 48 ounces of apple juice, which he happens to consume every 42 days. Calculate the rate of John's apple to apple juice consumption.

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    1) John buys 17 pounds of apples every 8 days.
    2) John consumes 48 ounces of apple juice every 42 days.
    3) We need to find the rate of John's apple to apple juice consumption.

    First, let's convert the apple weight to ounces:
    * 17 pounds = 17 * 16 = 272 ounces

    Now, let's find the rate of apple consumption:
    * 272 ounces of apples every 8 days
    * Rate of apple consumption = 272 ounces / 8 days = 34 ounces per day

    Next, let's find the rate of apple juice consumption:
    * 48 ounces of apple juice every 42 days
    * Rate of apple juice consumption = 48 ounces / 42 days = 1.14 ounces per day

    Finally, to find the rate of apple to apple juice consumption, we divide the rate of apple consumption by the rate of apple juice consumption:
    * Rate of apple to apple juice consumption = 34 ounces per day / 1.14 ounces per day = 29.82

    ### Answer: 29.82

Expected answer: 119/64

Correct? No

🔗 Problem

Problem: Maria drove her car for 8 hours at a speed of 4/7 miles per hour. In another trip, she initially had 38 dollars for gas but spent 50/4 dollars on gas. What is the summation of the total miles Maria drove and the remaining amount of money she had for gas?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:

    1. Maria drove her car for 8 hours at a speed of 4/7 miles per hour.
       * To find the total miles driven, we multiply the speed by the time:
       * Speed = 4/7 miles per hour
       * Time = 8 hours
       * Total miles driven = 4/7 * 8 = 32/7 miles

    2. In another trip, Maria initially had $38 for gas but spent 50/4 dollars on gas.
       * Amount spent on gas = 50/4 = $12.50
       * Remaining amount of money for gas = $38 - $12.50 = $25.50

    3. Summation of the total miles driven and the remaining amount of money for gas:
       * Total miles driven = 32/7 miles
       * Remaining amount of money for gas = $25.50
       * Summation = 32/7 miles + $25.50

    ### Answer: 32/7 miles + $25.50

Expected answer: 421/14

Correct? No

🔗 Problem

Problem: A runner is training for a marathon and runs 17 miles each day. If they run the same distance for 49 days, how many miles will they have run in total?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * The runner runs 17 miles each day
    * They run the same distance for 49 days

    To calculate the total miles run, we need to multiply the daily distance by the number of days:
    * 17 miles per day x 49 days = <<17 x 49 = 833>>833 miles

    ### Answer: 833

Expected answer: 833

Correct? Yes

🔗 Follow-up

Problem: The runner, still training for the marathon, now chooses a different route that is 37 miles long and runs this route for 17 days. How many miles will they have run after completing this new route for 17 days?

Claude-3 Haiku:

    Okay, let's break this down:
    * The new route is 37 miles long
    * The runner runs this route for 17 days

    To calculate the total miles run, we need to multiply the distance of the route by the number of days:
    * 37 miles per route x 17 days = <<37 x 17 = 629>>629 miles

    ### Answer: 629

Expected answer: 629

Correct? Yes

🔗 Problem

Problem: A toy car travels 37 kilometers on a single tank of fuel. However, after a modification, the toy car can now travel an additional 33/40 of a kilometer. What is the total distance the toy car can now travel on a single tank of fuel after the modification?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    1) The toy car originally traveled 37 kilometers on a single tank of fuel.
    2) After the modification, the car can now travel an additional 33/40 of a kilometer.
    3) To find the total distance the car can travel after the modification, we add the original distance and the additional distance:
    37 km + (33/40) km = 37 + 0.825 = <<37 + 0.825 = 37.825>>37.825 km

    ### Answer: 37.825 km

Expected answer: 1513/40

Correct? No

🔗 Problem

Problem: John traveled for 1/31 of an hour by car and then took a bus for another 30/12 hours. After taking a short break of 17/4 hours, how long in total was John on the move?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    1) John traveled for 1/31 of an hour by car.
    2) Then he took a bus for 30/12 hours.
    3) After that, he took a short break of 17/4 hours.

    To find the total time John was on the move, we need to add up the time spent in the car, on the bus, and exclude the time spent on the break.

    Time spent in the car: 1/31 hour
    Time spent on the bus: 30/12 hours
    Time spent on the break: 17/4 hours

    Total time on the move = Time in car + Time on bus
    = 1/31 + 30/12
    = (12/31 + 25/12)
    = 37/31 hours

    ### Answer: 37/31 hours

Expected answer: 841/124

Correct? No

🔗 Problem

Problem: In a certain village, the well is 45 miles away. However, every hour, a donkey can carry water back from the well, effectively reducing the distance by 18/33 miles. After 1 hour, what is the effective distance of the well from the village?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * The well is 45 miles away from the village
    * Every hour, the donkey can carry water back, effectively reducing the distance by 18/33 miles
    * We want to find the effective distance of the well from the village after 1 hour

    First, let's calculate the distance reduced after 1 hour:
    * Distance reduced = 18/33 miles

    Now, we can subtract this from the original distance to get the effective distance after 1 hour:
    * Effective distance = 45 miles - 18/33 miles = 45 - (18/33) = 27 (18/33) miles

    ### Answer: 27 (18/33) miles

Expected answer: 489/11

Correct? No

🔗 Problem

Problem: Clara had 30 dollars initially. She spent 25/6 dollars on ice cream. After buying the ice cream, she used 11/21 of her remaining money to buy a book. How many dollars did she spend on the book?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    1. Clara had $30 initially.
    2. She spent 25/6 dollars on ice cream.
       * 25/6 = $4.17 (rounded to 2 decimal places)
       * So, she had $30 - $4.17 = $25.83 remaining after buying the ice cream.
    3. She then used 11/21 of her remaining money to buy a book.
       * 11/21 of $25.83 = (11/21) * $25.83 = $13.55 (rounded to 2 decimal places)
       * So, she spent $13.55 on the book.

    ### Answer: $13.55

Expected answer: 1705/126

Correct? No

🔗 Problem

Problem: John walked 10 miles every day for 2 weeks. After the 2 weeks, he still needed to walk an additional 21 miles to reach his destination. How many miles did he have to walk in total?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * John walked 10 miles every day for 2 weeks
    * 2 weeks = 14 days
    * So, in the 2 weeks, John walked 10 miles x 14 days = 140 miles
    * After the 2 weeks, he still needed to walk an additional 21 miles to reach his destination
    * Therefore, the total miles John had to walk is 140 miles + 21 miles = 161 miles

    ### Answer: 161

Expected answer: 161

Correct? Yes

🔗 Follow-up

Problem: In the previous journey, John decided to increase his daily walking distance. He walked for 14 miles instead of 10 each day for seven weeks. After the seven weeks, he still needed to walk an additional 21 miles to reach his destination. How many miles did he have to walk this time to reach his destination?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * John walked 14 miles every day for 7 weeks
    * 7 weeks = 49 days
    * So, in the 7 weeks, John walked 14 miles x 49 days = 686 miles
    * After the 7 weeks, he still needed to walk an additional 21 miles to reach his destination
    * Therefore, the total miles John had to walk this time is 686 miles + 21 miles = 707 miles

    ### Answer: 707

Expected answer: 707

Correct? Yes

🔗 Problem

Problem: Susan has 48 dollars in her pocket. She goes to a store and buys a toy. The toy cost is 18 dollars plus 41/14 dollars for tax. How much money does she have left after buying the toy?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    1) Susan has $48 in her pocket.
    2) The toy costs $18.
    3) The tax on the toy is 41/14 dollars.

    To calculate the total cost of the toy:
    * Cost of toy: $18
    * Tax: 41/14 dollars
    * Total cost = $18 + (41/14) dollars

    Now, to calculate how much money Susan has left after buying the toy:
    * Susan had $48 to start
    * Total cost of toy = $18 + (41/14) dollars
    * Amount left = $48 - ($18 + (41/14) dollars)

    Simplifying the tax calculation:
    * 41/14 dollars = $2.93 (rounded to two decimal places)

    Final calculation:
    * Amount left = $48 - ($18 + $2.93)
    * Amount left = $48 - $20.93
    * Amount left = $27.07

    ### Answer: $27.07

Expected answer: 379/14

Correct? No

🔗 Problem

Problem: Jamie deposited $47 in her bank account. The bank then added a bonus of 47/41 dollars to her account. How much money does Jamie now have in her bank account?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    1) Jamie deposited $47 in her bank account.
    2) The bank then added a bonus of 47/41 dollars to her account.
    3) To calculate the total amount of money Jamie now has in her bank account, we need to add the initial deposit of $47 and the bonus of 47/41 dollars.

    The bonus of 47/41 dollars is equal to $1.15.

    So the total amount of money Jamie now has in her bank account is:
    $47 + $1.15 = $48.15

    ### Answer: $48.15

Expected answer: 1974/41

Correct? No

🔗 Problem

Problem: Walter pays 23/21 dollars for a pen. After buying the pen, he still has 46 dollars left. How much money did he have originally?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * Walter pays 23/21 dollars for a pen
    * After buying the pen, he still has 46 dollars left

    To find the original amount of money Walter had, we need to add the amount he spent on the pen to the amount he has left.

    The amount he spent on the pen is 23/21 dollars.
    The amount he has left is 46 dollars.

    So the original amount of money Walter had is:
    23/21 dollars + 46 dollars = (23/21) + 46 = 69 dollars

    ### Answer: 69 dollars

Expected answer: 989/21

Correct? No

🔗 Problem

Problem: A farmer harvests honey and sells it in kilograms. In a day, the farmer on average harvests 44/10 kilograms from each beehive. If there are 37 beehives, how many kilograms honey does he harvest in a day? If he sells 3/37 of the total honey harvested in a day, how many kilograms of honey does he sell?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:

    1. The farmer harvests 44/10 kilograms of honey from each beehive on average per day.
    2. There are 37 beehives.
    3. To find the total honey harvested in a day, we multiply the average harvest per beehive by the number of beehives:
       * Total honey harvested per day = 44/10 kg x 37 beehives = 162.8 kg

    Now, for the second part of the question:
    4. The farmer sells 3/37 of the total honey harvested in a day.
    5. To find the amount of honey sold, we multiply the total honey harvested by 3/37:
       * Honey sold per day = 162.8 kg x 3/37 = 13.2 kg

    ### Answer: 162.8 kg

Expected answer: 66/5

Correct? No

🔗 Problem

Problem: Jessica earns 29 dollars per hour. If she works for 14 hours, how much money will she have earned?

Claude-3 Haiku:

    Reasoning:
    Jessica earns $29 per hour.
    She works for 14 hours.
    To calculate the total amount of money she will have earned, we multiply the hourly rate by the number of hours worked:
    $29 per hour x 14 hours = $406

    ### Answer: $406

Expected answer: 406

Correct? Yes

🔗 Follow-up

Problem: Jessica considers working more hours and renegotiates her hourly wage to 40 dollars per hour. If she still works for 14 hours, how much money will she have earned now?

Claude-3 Haiku:

    Reasoning:
    Jessica's new hourly wage is $40 per hour.
    She still works for 14 hours.
    To calculate the total amount of money she will have earned, we multiply the new hourly rate by the number of hours worked:
    $40 per hour x 14 hours = $560

    ### Answer: $560

Expected answer: 560

Correct? Yes

🔗 Problem

Problem: Tim has a quirky old car with a very unusual fuel consumption - it uses 41/39 liters of fuel per minute. If he drives for 47 minutes, how many litres of fuel will he have consumed?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * Tim's car uses 41/39 liters of fuel per minute
    * He drives for 47 minutes

    To calculate the total fuel consumed, we need to multiply the fuel consumption per minute by the total minutes driven.

    Fuel consumption per minute: 41/39 liters
    Total minutes driven: 47 minutes

    Total fuel consumed = Fuel consumption per minute × Total minutes driven
    Total fuel consumed = (41/39) × 47 liters
    Total fuel consumed = (41 × 47) / 39 liters
    Total fuel consumed = 1927 / 39 liters
    Total fuel consumed = <<1927/39=49.41>>49.41 liters

    ### Answer: 49.41 liters

Expected answer: 1927/39

Correct? No

🔗 Problem

Problem: A cargo ship carries 17 / 26 tons of cargo for every one of its 39 containers. It already has an existing cargo load of 50 / 11 tons. What is the total tonnage of the cargo on the ship after it loads all 39 containers?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    1) The cargo ship carries 17/26 tons of cargo for every one of its 39 containers.
    2) The ship already has an existing cargo load of 50/11 tons.
    3) To find the total tonnage of the cargo on the ship after it loads all 39 containers, we need to:
       a) Calculate the total cargo load from the 39 containers
       b) Add that to the existing cargo load of 50/11 tons

    Calculating the total cargo load from the 39 containers:
    * Each container carries 17/26 tons
    * There are 39 containers
    * So the total cargo load from the 39 containers is: 39 * (17/26) = 663/26 tons

    Adding the existing cargo load:
    * Existing cargo load = 50/11 tons
    * Total cargo load = 663/26 + 50/11 = 1,353/286 tons

    ### Answer: 1,353/286 tons

Expected answer: 661/22

Correct? No

🔗 Problem

Problem: Jessie has $34 in savings, and then she receives $20 from her grandma. How much money does she have now?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * Jessie originally had $34 in savings
    * She then received $20 from her grandma
    * To calculate the total amount of money she has now, we add the $20 she received to the $34 she originally had:
    * $34 + $20 = $54
    ### Answer: $54

Expected answer: 54

Correct? Yes

🔗 Follow-up

Problem: Jessie decides to save her money for 13 weeks. Each week, she saves an amount equal to the sum of her initial savings and the money she received from her grandma. How much money does she save in total after 13 weeks?

Claude-3 Haiku:

    Okay, let's work this out step-by-step:
    * Jessie originally had $34 in savings
    * She then received $20 from her grandma
    * So her total starting amount is $34 + $20 = $54
    * Each week, she saves an amount equal to $54
    * She saves this amount for 13 weeks
    * To calculate the total amount she saves over 13 weeks, we multiply the weekly amount ($54) by the number of weeks (13):
    * $54 x 13 = $702

    ### Answer: $702

Expected answer: 702

Correct? Yes

🔗 Follow-up

Problem: Instead of starting with $34, suppose Jessie initially had $45 in savings. She still receives $20 from her grandma. How much money does she have now?

Claude-3 Haiku:

    Okay, let's work through this step-by-step:
    * Jessie originally had $45 in savings
    * She then received $20 from her grandma
    * To calculate the total amount of money she has now, we add the $20 she received to the $45 she originally had:
    * $45 + $20 = $65
    ### Answer: $65

Expected answer: 65

Correct? Yes

🔗 Problem

Problem: Derek has $42 saved up. His grandmother gives him an additional $7. How much money does Derek have in total now?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    1) Derek originally had $42 saved up.
    2) His grandmother gave him an additional $7.
    3) To find the total amount of money Derek has now, we add the original $42 and the additional $7 that his grandmother gave him.
    4) $42 + $7 = $49

    ### Answer: $49

Expected answer: 49

Correct? Yes

🔗 Follow-up

Problem: Now suppose Derek originally had $42, but his grandmother gave him $12 instead of $7. How much money does Derek have now?

Claude-3 Haiku:

    Okay, let's work through this step-by-step:
    1) Derek originally had $42 saved up.
    2) His grandmother gave him an additional $12.
    3) To find the total amount of money Derek has now, we add the original $42 and the additional $12 that his grandmother gave him.
    4) $42 + $12 = $54

    ### Answer: $54

Expected answer: 54

Correct? Yes

🔗 Problem

Problem: A man spends 43 dollars on groceries but gets a discount of 43/27 dollars. Later, he buys a book worth 13/36 dollars. How much money did he spend in total?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    1) The man spent $43 on groceries.
    2) He got a discount of $43/27 on the groceries.
    3) The discounted price of the groceries is $43 - $43/27 = $43 - $1.59 = $41.41.
    4) He then bought a book worth $13/36 dollars.
    5) To find the total amount spent, we add the discounted groceries price and the book price:
    $41.41 + $13/36 = $41.41 + $0.36 = $41.77.

    ### Answer: $41.77

Expected answer: 4511/108

Correct? No

🔗 Problem

Problem: Jenna has saved up $45 from her part-time job and received $50 from her parents as a gift. After she bought a novel that cost 46/39 dollars, how much money does Jenna have left?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    1) Jenna has saved up $45 from her part-time job.
    2) Jenna received $50 from her parents as a gift.
    3) Jenna bought a novel that cost 46/39 dollars.

    To calculate the amount of money Jenna has left, we need to:
    1) Add the $45 and $50 she had saved up and received as a gift.
    2) Subtract the cost of the novel, which is 46/39 dollars.

    Step 1: $45 + $50 = $95
    Step 2: The cost of the novel is 46/39 dollars. To calculate this, we divide 46 by 39 to get $1.18.
    Step 3: Subtract the cost of the novel from the total amount of money Jenna had: $95 - $1.18 = $93.82

    ### Answer: $93.82

Expected answer: 3659/39

Correct? No

🔗 Problem

Problem: You have 27/6 gallons of water in a tank. You then pour out 5/40 gallons of water from the tank. As you noticed the tank seems low, you add 21/26 gallons more. How many gallons of water are in the tank after all those actions?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    1) You start with 27/6 gallons of water in the tank.
    2) You then pour out 5/40 gallons of water from the tank.
       * To calculate the amount of water left after pouring out 5/40 gallons:
       * 27/6 - 5/40 = ((27 * 40) - (6 * 5)) / (6 * 40) = 1080/240 - 30/240 = 1050/240 = 21/6 gallons
    3) You then add 21/26 gallons more to the tank.
       * To calculate the total amount of water in the tank after adding 21/26 gallons:
       * 21/6 + 21/26 = ((21 * 26) + (6 * 21)) / (6 * 26) = 546/156 = 7/2 gallons

    ### Answer: 7/2 gallons

Expected answer: 539/104

Correct? No

🔗 Problem

Problem: If a car is traveling at a steady speed of 28 miles per hour, how many miles will it travel in 20 hours?

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    * The car is traveling at a steady speed of 28 miles per hour
    * We want to find how many miles the car will travel in 20 hours
    * To calculate the distance traveled, we multiply the speed by the time:
    * Speed = 28 miles per hour
    * Time = 20 hours
    * Distance = Speed x Time
    * Distance = 28 miles/hour x 20 hours
    * Distance = 560 miles

    ### Answer: 560 miles

Expected answer: 560

Correct? Yes

🔗 Follow-up

Problem: Continuing from the previous scenario, after traveling for 20 hours at a speed of 28 miles per hour, the car continues on for an additional 22 miles. How many miles has the car traveled in total?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * In the previous scenario, the car traveled 560 miles in 20 hours at a speed of 28 miles per hour.
    * Now, the car continues on for an additional 22 miles.
    * To find the total distance traveled, we add the 560 miles from the previous scenario to the additional 22 miles.
    * Total distance traveled = 560 miles + 22 miles
    * Total distance traveled = 582 miles

    ### Answer: 582 miles

Expected answer: 582

Correct? Yes

🔗 Follow-up

Problem: Following up from the initial scenario, suppose the car was instead traveling at a consistent speed of 28 miles per hour for 32 hours. How many miles will the car travel in this case?

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    * The car is traveling at a steady speed of 28 miles per hour
    * We want to find how many miles the car will travel in 32 hours
    * To calculate the distance traveled, we multiply the speed by the time:
    * Speed = 28 miles per hour
    * Time = 32 hours
    * Distance = Speed x Time
    * Distance = 28 miles/hour x 32 hours
    * Distance = 896 miles

    ### Answer: 896 miles

Expected answer: 896

Correct? Yes

🔗 Problem

Problem: Tom had 48 dollars in his wallet. After he bought a book for 19 dollars, how much money does he have left?

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    1) Tom had $48 in his wallet.
    2) He bought a book for $19.
    3) To find how much money he has left, we subtract the cost of the book from the amount of money he had:
    $48 - $19 = $29
    ### Answer: $29

Expected answer: 29

Correct? Yes

🔗 Follow-up

Problem: Instead of spending 19 dollars on a book, let's say that Tom had initially spent 30 dollars on a more expensive book. How much money would Tom have left in his wallet after this purchase?

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    1) Tom had $48 in his wallet.
    2) He bought a book for $30.
    3) To find how much money he has left, we subtract the cost of the book from the amount of money he had:
    $48 - $30 = $18
    ### Answer: $18

Expected answer: 18

Correct? Yes

🔗 Problem

Problem: James has 19 dollars in his account. He earns 49/44 dollars per hour working online. How many dollars does he have in his account after working for an hour?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * James has $19 in his account initially.
    * He earns 49/44 dollars per hour working online.
    * We need to find how much money he has in his account after working for an hour.

    To calculate the amount of money he earns in an hour, we take the hourly rate of 49/44 dollars and add it to his initial $19:
    * Hourly rate: 49/44 dollars
    * Initial amount: $19
    * Total after 1 hour: $19 + (49/44) = $19 + $1.11 = $20.11

    ### Answer: $20.11

Expected answer: 885/44

Correct? No

🔗 Problem

Problem: Your favorite juice shop buys oranges for $34 per 8 bags. They've found a new vendor offering the same quantity of oranges for $19 per 30 bags. How much less per bag does the new vendor charge?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:

    1. The original vendor charges $34 per 8 bags of oranges.
       * This means the cost per bag is $34 / 8 = $4.25 per bag.

    2. The new vendor charges $19 per 30 bags of oranges.
       * This means the cost per bag is $19 / 30 = $0.63 per bag.

    3. To find the difference in cost per bag:
       * Original cost per bag: $4.25
       * New cost per bag: $0.63
       * Difference in cost per bag: $4.25 - $0.63 = $3.62

    ### Answer: $3.62

Expected answer: 217/60

Correct? No

🔗 Problem

Problem: Lisa spends $50 for over 46 days. How much amount does Lisa spend per day?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * Lisa spends $50 over 46 days
    * To find the amount spent per day, we divide the total amount spent by the number of days
    * $50 / 46 days = $1.09 per day

    ### Answer: $1.09 per day.

Expected answer: 25/23

Correct? No

🔗 Problem

Problem: A bottle contains 22/43 liters of juice. If you drink 18/4 of the bottle, how many liters of juice do you drink?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    1) The bottle contains 22/43 liters of juice.
    2) You drink 18/4 of the bottle.
    3) To find the amount of juice you drink, we need to multiply the total amount of juice in the bottle (22/43 liters) by the fraction of the bottle you drank (18/4).
    4) 22/43 * 18/4 = (22 * 18) / (43 * 4) = 396 / 172 = <<396/172=2.3>>2.3 liters of juice.

    ### Answer: 2.3 liters

Expected answer: 99/43

Correct? No

🔗 Problem

Problem: John had $31 in his wallet. He spent $4 on a chocolate bar. How much money does he have left?

Claude-3 Haiku:

    Reasoning: John had $31 in his wallet initially.
    He spent $4 on a chocolate bar.
    To find the amount of money he has left, we subtract the amount he spent from the initial amount he had.
    $31 - $4 = <<31 - 4 = 27>>$27.
    ### Answer: $27

Expected answer: 27

Correct? Yes

🔗 Follow-up

Problem: After spending $4 on a chocolate bar from his original $31, John decided to buy a book that costs $23. How much money does he have left after buying the book?

Claude-3 Haiku:

    Reasoning: John had $31 initially.
    He spent $4 on a chocolate bar, so he had $31 - $4 = $27 left.
    He then spent $23 on a book.
    To find the amount of money he has left, we subtract the amount he spent on the book from the amount he had left after buying the chocolate bar.
    $27 - $23 = <<27 - 23 = 4>>$4.
    ### Answer: $4

Expected answer: 4

Correct? Yes

🔗 Problem

Problem: A sports car travels at a speed of 40 miles per hour on a highway. Additional to that, it gains an extra speed of 26/24 miles every hour due to a powerful wind from behind. What would be its speed after one hour with the effect of the wind included?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * The sports car's initial speed is 40 miles per hour
    * It gains an extra speed of 26/24 miles per hour due to the powerful wind from behind
    * We want to find the car's speed after one hour with the effect of the wind included

    First, let's calculate the extra speed gained due to the wind:
    * Extra speed = 26/24 miles per hour

    Now, let's add the initial speed and the extra speed to get the final speed:
    * Final speed = Initial speed + Extra speed
    * Final speed = 40 miles per hour + 26/24 miles per hour
    * Final speed = 40 + 1.083 = 41.083 miles per hour

    ### Answer: 41.083 miles per hour

Expected answer: 493/12

Correct? No

🔗 Problem

Problem: James bought a jug of milk which contains 33/37 gallons. Later, he decided to add more milk into the jug, which was 3/25 gallons. How many gallons of milk does James have in total in the jug?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    1) The jug initially contained 33/37 gallons of milk.
    2) James then added 3/25 gallons of milk to the jug.
    3) To find the total amount of milk in the jug, we need to add the two amounts together.

    To add fractions with different denominators, we first need to find the least common denominator (LCD). The LCD of 37 and 25 is 925.

    So, 33/37 gallons = (33 * 25) / (37 * 25) = 825/925 gallons
    And 3/25 gallons = (3 * 37) / (25 * 37) = 111/925 gallons

    Now we can add the two amounts together:
    825/925 + 111/925 = 936/925 gallons

    ### Answer: 936/925 gallons

Expected answer: 936/925

Correct? Yes

🔗 Follow-up

Problem: In the previous problem, James had a jug containing 33/37 gallons of milk to which he added an extra 3/25 gallons. Now, suppose James had 30 similar jugs of milk, each with the same combined volume as the first. What would be the total amount of milk in gallons for all 30 jugs?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:

    1) The first jug contained 33/37 gallons of milk initially, and then James added 3/25 gallons.
    2) The total amount of milk in the first jug is 825/925 + 111/925 = 936/925 gallons.
    3) James has 30 similar jugs, each with the same combined volume as the first.
    4) To find the total amount of milk in all 30 jugs, we multiply the amount in the first jug by 30.

    936/925 gallons x 30 = 28,080/925 gallons

    To simplify this fraction, we can divide both the numerator and denominator by their greatest common factor, which is 5.

    28,080/925 = 5,616/185 gallons

    ### Answer: 5,616/185 gallons

Expected answer: 5616/185

Correct? Yes

🔗 Follow-up

Problem: In the previous problems, James had a jug containing 33/37 gallons of milk to which he added an extra 3/25 gallons. Now, suppose instead of adding 3/25 gallons of milk, he added 42/25 gallons. How many gallons of milk does James have in total in the jug now?

Claude-3 Haiku:

    Okay, let's solve this step-by-step:

    1) The jug initially contained 33/37 gallons of milk.
    2) James then added 42/25 gallons of milk to the jug.

    To add the two amounts, we need to find the least common denominator (LCD) of 37 and 25, which is 925.

    So, 33/37 gallons = (33 * 25) / (37 * 25) = 825/925 gallons
    And 42/25 gallons = (42 * 37) / (25 * 37) = 1554/925 gallons

    Now we can add the two amounts together:
    825/925 + 1554/925 = 2379/925 gallons

    ### Answer: 2379/925 gallons

Expected answer: 2379/925

Correct? Yes

🔗 Problem

Problem: A journey took 43/17 hours to complete. After the journey, a break of 31/4 hours was taken. What is the total time spent on the journey and the break?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    1) The journey took 43/17 hours to complete.
    2) After the journey, a break of 31/4 hours was taken.
    3) To find the total time spent on the journey and the break, we need to add the two times together.

    To add the times, we need to convert them to a common denominator.
    43/17 hours = (43 * 4) / (17 * 4) = 172/68 hours
    31/4 hours = (31 * 17) / (4 * 17) = 527/68 hours

    Now we can add the two times together:
    172/68 hours + 527/68 hours = 699/68 hours

    ### Answer: 699/68 hours

Expected answer: 699/68

Correct? Yes

🔗 Follow-up

Problem: Continuing from the previous journey, if a further segment of the journey was undertaken that took an additional 50 hours, what is the total time spent on all segments of the journey and the break?

Claude-3 Haiku:

    Okay, let's continue the problem:

    1) The initial journey took 43/17 hours = 172/68 hours.
    2) After the journey, a break of 31/4 hours = 527/68 hours was taken.
    3) A further segment of the journey was undertaken that took an additional 50 hours.

    To find the total time spent on all segments of the journey and the break, we need to add all the times together:

    Total time = Initial journey time + Break time + Additional journey time
    Total time = 172/68 hours + 527/68 hours + 50 hours
    Total time = (172 + 527 + 3400)/68 hours
    Total time = 4099/68 hours

    ### Answer: 4099/68 hours

Expected answer: 4099/68

Correct? Yes

🔗 Follow-up

Problem: Continuing from the original journey, suppose the first segment of the journey only took 43/29 hours instead of the 43/17 hours initially stated. Keeping the break time the same at 31/4 hours, what would now be the total time spent on all parts of the journey and the break?

Claude-3 Haiku:

    Okay, let's work through this step-by-step:

    1) The first segment of the journey took 43/29 hours.
    2) The break after the journey was 31/4 hours.

    To find the total time, we need to convert the times to a common denominator:

    43/29 hours = (43 * 4) / (29 * 4) = 172/116 hours
    31/4 hours = (31 * 29) / (4 * 29) = 899/116 hours

    Now we can add the two times together:
    172/116 hours + 899/116 hours = 1071/116 hours

    ### Answer: 1071/116 hours

Expected answer: 1071/116

Correct? Yes

🔗 Problem

Problem: Carrie's car consumes 41 liters of fuel to travel 1 hour. If she has driven for 49/48 hours, how much fuel has her car consumed?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    * Carrie's car consumes 41 liters of fuel to travel 1 hour
    * She has driven for 49/48 hours

    To find the total fuel consumed, we need to calculate the fuel consumed per hour and then multiply it by the total hours driven.

    Fuel consumed per hour = 41 liters
    Hours driven = 49/48 hours

    Total fuel consumed = Fuel consumed per hour × Hours driven
    Total fuel consumed = 41 liters × (49/48 hours)
    Total fuel consumed = 41 × (49/48) liters
    Total fuel consumed = <<41 * (49/48) = 41.7917 liters>>41.7917 liters

    ### Answer: 41.7917 liters

Expected answer: 2009/48

Correct? No

🔗 Problem

Problem: Oscar has $33 saved up. He decides to spend 13/41 of his money on a new video game. How much money does he spend on the video game?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    1) Oscar has $33 saved up.
    2) He decides to spend 13/41 of his money on a new video game.
    3) To calculate how much money he spends on the video game, we need to take 13/41 of $33.
    4) To do this, we first need to calculate 13/41 of $33.
    5) 13/41 of $33 = (13/41) * $33 = $26.46
    6) Therefore, Oscar spends $26.46 on the new video game.

    ### Answer: $26.46

Expected answer: 429/41

Correct? No

🔗 Problem

Problem: A turtle travels at a speed of 19/6 feet per second. How far, in feet, would the turtle travel in 24 seconds if it starts 20 feet ahead from the starting point?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    1) The turtle's speed is 19/6 feet per second.
    2) The turtle travels for 24 seconds.
    3) The turtle starts 20 feet ahead from the starting point.

    To find the distance the turtle travels in 24 seconds, we multiply the turtle's speed by the time:
    * Speed = 19/6 feet per second
    * Time = 24 seconds
    * Distance = Speed x Time
    * Distance = (19/6) x 24 = <<(19/6) x 24 = 76>> 76 feet

    Now, we add the 20 feet the turtle started ahead to get the total distance traveled:
    * Total Distance = 76 feet + 20 feet = <<76 + 20 = 96>> 96 feet

    ### Answer: 96 feet

Expected answer: 96

Correct? Yes

🔗 Follow-up

Problem: In our earlier calculation, we were considering the distance the turtle travelled in 24 seconds. What happens if we reconsider, and instead calculate the turtle's distance covered in 33 seconds from the same starting point that was 20 feet ahead? How many feet would the turtle travel in total then?

Claude-3 Haiku:

    Okay, let's recalculate the distance the turtle travels in 33 seconds.

    The turtle's speed is still 19/6 feet per second.
    * Speed = 19/6 feet per second
    * Time = 33 seconds
    * Distance = Speed x Time
    * Distance = (19/6) x 33 = <<(19/6) x 33 = 103.5>> 103.5 feet

    Now, we add the 20 feet the turtle started ahead to get the total distance traveled:
    * Total Distance = 103.5 feet + 20 feet = <<103.5 + 20 = 123.5>> 123.5 feet

    ### Answer: 123.5 feet

Expected answer: 249/2

Correct? No

🔗 Problem

Problem: Carlos has a container with a capacity of 3 liters. He filled it with orange juice to just 41/49 of its capacity. How many liters of orange juice did he pour into the container?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    1) The container has a capacity of 3 liters.
    2) Carlos filled it to 41/49 of its capacity.
    3) To find the amount of orange juice he poured in, we need to calculate 41/49 of 3 liters.
    4) 41/49 of 3 liters = (41/49) * 3 liters = 2.5 liters.

    ### Answer: 2.5 liters

Expected answer: 123/49

Correct? No

🔗 Problem

Problem: If a train travels at the speed of 39 kilometers per hour, how far would the train cover in 5 hours?

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    * The train travels at a speed of 39 kilometers per hour
    * We want to find the distance the train covers in 5 hours
    * To find the distance, we use the formula: Distance = Speed x Time
    * Plugging in the values:
      - Speed = 39 kilometers per hour
      - Time = 5 hours
    * Distance = 39 kilometers per hour x 5 hours
    * Distance = 195 kilometers

    ### Answer: 195 kilometers

Expected answer: 195

Correct? Yes

🔗 Follow-up

Problem: If the train was initially traveling at a speed of 16 kilometers per hour instead of 39 kilometers per hour, how far would the train have travelled in 5 hours?

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    * The train initially travels at a speed of 16 kilometers per hour
    * We want to find the distance the train covers in 5 hours
    * To find the distance, we use the formula: Distance = Speed x Time
    * Plugging in the values:
      - Speed = 16 kilometers per hour
      - Time = 5 hours
    * Distance = 16 kilometers per hour x 5 hours
    * Distance = 80 kilometers

    ### Answer: 80 kilometers

Expected answer: 80

Correct? Yes

🔗 Problem

Problem: Jenny has $3. She then finds a rare coin that is worth 4/37 dollars. How much money does she have altogether?

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    * Jenny originally has $3
    * She then finds a rare coin that is worth 4/37 dollars
    * To calculate the value of the rare coin, we need to convert 4/37 dollars to a decimal:
    * 4/37 = 0.1081 dollars
    * Now we can add the value of the rare coin to the $3 that Jenny originally had:
    * $3 + $0.1081 = $3.1081

    ### Answer: $3.1081

Expected answer: 115/37

Correct? No

🔗 Problem

Problem: Henry saved $17 each week. How much money did Henry save in 5 weeks?

Claude-3 Haiku:

    Reasoning:
    Henry saved $17 each week.
    In 5 weeks, he would have saved:
    $17 x 5 = $85
    ### Answer: $85

Expected answer: 85

Correct? Yes

🔗 Follow-up

Problem: Imagine if instead of saving $17 each week, Henry was actually saving $37 each week. How much money would Henry save in 5 weeks?

Claude-3 Haiku:

    Okay, let's solve this step-by-step:
    * Henry was saving $37 each week
    * We want to know how much he saved in 5 weeks
    * To calculate this, we multiply the weekly amount by the number of weeks:
    * $37 per week x 5 weeks = $185
    ### Answer: $185

Expected answer: 185

Correct? Yes

🔗 Problem

Problem: You have $15 in your savings account. You decided to spend 17/23 of a dollar on a small sweet. How much is left in your savings account after buying the sweet?

Claude-3 Haiku:

    Okay, let's break this down step-by-step:
    1) You have $15 in your savings account.
    2) You decided to spend 17/23 of a dollar on a small sweet.
    3) To calculate how much you spent on the sweet, we need to convert 17/23 of a dollar to a decimal:
    17/23 = 0.739 dollars
    4) Now we can subtract the amount spent on the sweet from the total amount in your savings account:
    $15 - $0.739 = $14.261
    ### Answer: $14.261

Expected answer: 328/23

Correct? No