Common Core Standard 3.OA.A.4
This standard covers the following:
Determine the unknown whole number in a multiplication or division equation relating three whole numbers.
Problem: A king has decided to build a number of castles in his kingdom. If each castle requires 5 builders and there are 15 builders in total, how many castles are being built?
Llama 3 70B:
Reasoning: Let's say the number of castles being built is x. Since each castle requires 5 builders, the total number of builders required is 5x. We know that there are 15 builders in total, so we can set up the equation 5x = 15. To solve for x, we can divide both sides of the equation by 5, which gives us x = 15/5 = 3. ### Answer: 3
Expected answer: 3
Correct? Yes
Problem: In a mega-sized tube of toothpaste, there are 77 grams of toothpaste. If each usage consumes 11 grams of toothpaste, how many usages can you get from this tube?
Llama 3 70B:
Reasoning: To find the number of usages, we need to divide the total amount of toothpaste (77 grams) by the amount used per usage (11 grams). 77 รท 11 = 7 So, you can get 7 usages from this tube of toothpaste. ### Answer: 7
Expected answer: 7
Correct? Yes
Problem: A watch manufacturer can produce 8 watches every hour. After working for some hours, they have manufactured a total of 48 watches. How many hours did they work?
Llama 3 70B:
Reasoning: Let's say the manufacturer worked for x hours. Since they produce 8 watches every hour, the total number of watches produced is 8x. We know that they produced a total of 48 watches, so we can set up the equation 8x = 48. To solve for x, we can divide both sides of the equation by 8, which gives us x = 48/8 = 6. ### Answer: 6
Expected answer: 6
Correct? Yes
Problem: A cat mother had 3 kittens. If every kitten has the same number of toy mice, and there are only 3 toy mice available, how many toy mice does each kitten have?
Llama 3 70B:
Reasoning: Since there are 3 kittens and 3 toy mice, we can divide the total number of toy mice by the number of kittens to find out how many toy mice each kitten has. 3 toy mice รท 3 kittens = 1 toy mouse per kitten ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: A hungry tiger catches 12 fishes from a river during day time. However, it eats 2 fishes per hour. How many hours will it take for the tiger to finish all the fishes?
Llama 3 70B:
Reasoning: The tiger has 12 fishes initially. It eats 2 fishes per hour, so to find the number of hours it takes to finish all the fishes, we can divide the total number of fishes by the number of fishes eaten per hour. 12 รท 2 = 6 ### Answer: 6
Expected answer: 6
Correct? Yes
Problem: A T-shirt company plans to print new shirts. Each design requires 8 shirts to print the first samples. The company just finished printing 56 shirts for this purpose. How many designs does the company plan to print?
Llama 3 70B:
Reasoning: The company printed 56 shirts in total. Each design requires 8 shirts, so to find the number of designs, we can divide the total number of shirts by 8. 56 รท 8 = 7 ### Answer: 7
Expected answer: 7
Correct? Yes
Problem: A scooter rental shop charges each rider 7 dollars per hour. If one rider spends 35 dollars, how many hours did they ride the scooter?
Llama 3 70B:
Reasoning: Let's say the rider rode the scooter for x hours. Since the shop charges $7 per hour, the total cost would be 7x. We know the rider spent $35, so we can set up the equation 7x = 35. To solve for x, we can divide both sides by 7, which gives us x = 35/7 = 5. ### Answer: 5
Expected answer: 5
Correct? Yes
Problem: A car travels at a consistent speed and takes 8 hours to complete the trip. If the total distance traveled was 32 miles, what was the speed of the car in miles per hour?
Llama 3 70B:
Reasoning: To find the speed of the car, we need to divide the total distance traveled by the time it took to complete the trip. Speed = Total Distance / Time = 32 miles / 8 hours = 4 miles/hour ### Answer: 4 miles/hour
Expected answer: 4
Correct? Yes
Problem: A jewelry store sells bracelets in collections. They have 77 bracelets in one collection, and each collection consists of identical bracelets in distinct multiples of 11. How many bracelets are in each multiple?
Llama 3 70B:
Reasoning: Since each collection consists of identical bracelets in distinct multiples of 11, we need to find the factor of 77 that is a multiple of 11. We can divide 77 by 11 to find the factor: 77 รท 11 = 7. So, there are 7 bracelets in each multiple. ### Answer: 7
Expected answer: 7
Correct? Yes
Problem: In a camping trip, the vertical height of a tent is half of its diagonal length. If the diagonal length of the tent is 14 feet, what is the vertical height of the tent?
Llama 3 70B:
Reasoning: Let's call the vertical height of the tent "h". Since the vertical height is half of the diagonal length, we can set up the equation: h = (1/2) ร 14. To solve for h, we can multiply both sides of the equation by 2, which gives us: 2h = 14. Dividing both sides by 2, we get: h = 14/2 = 7. ### Answer: 7
Expected answer: 7
Correct? Yes
Problem: A cafรฉ sells hot chocolate. Each cup of hot chocolate contains 11 marshmallows. If a customer finds 22 marshmallows in their hot chocolate, how many cups of hot chocolate did they purchase?
Llama 3 70B:
Reasoning: Since each cup of hot chocolate contains 11 marshmallows, we can divide the total number of marshmallows (22) by 11 to find the number of cups. 22 รท 11 = 2 So, the customer purchased 2 cups of hot chocolate. ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: A farmer has a unique breed of tomatoes. When he harvests them, he realizes that the total weight (in kilograms) of the tomatoes, divided equally into 4, gives 11 kilograms per group. How much is the total weight of the tomatoes?
Llama 3 70B:
Reasoning: If the total weight of the tomatoes divided equally into 4 groups gives 11 kilograms per group, that means the total weight is 4 times 11 kilograms. Total weight = 4 x 11 = 44 kilograms. ### Answer: 44.
Expected answer: 44
Correct? Yes
Problem: Sarah has 45 pairs of laces for her ice skates. If she uses the same amount of laces for each pair of ice skates, and that amount is 5, how many pairs of ice skates does Sarah have?
Llama 3 70B:
Reasoning: Since Sarah uses 5 laces for each pair of ice skates, we can divide the total number of laces (45) by 5 to find the number of pairs of ice skates. 45 รท 5 = 9 ### Answer: 9
Expected answer: 9
Correct? Yes
Problem: On a breezeless day, a wind turbine rotates at half of its speed compared to a windy day. If the wind turbine rotates at 3 revolutions per minute on a breezeless day, how many revolutions per minute does it make on a windy day?
Llama 3 70B:
Reasoning: If the wind turbine rotates at half of its speed on a breezeless day, that means it rotates at twice its speed on a windy day. Since it rotates at 3 revolutions per minute on a breezeless day, it rotates at 3 x 2 = 6 revolutions per minute on a windy day. ### Answer: 6
Expected answer: 6
Correct? Yes
Problem: In a roller skate shop, a customer can rent roller skates for a few hours. For each hour, the charge is 5 dollars. If the total charge was 15 dollars, for how many hours did the customer rent the roller skates?
Llama 3 70B:
Reasoning: Let's say the customer rented the roller skates for x hours. Since the charge is $5 per hour, the total charge would be 5x. We know the total charge was $15, so we can set up the equation: 5x = 15. To solve for x, we can divide both sides by 5, which gives us x = 15/5 = 3. ### Answer: 3
Expected answer: 3
Correct? Yes
Problem: Marie grew a truly bountiful crop of tomatoes this year, yielding 108 tomatoes. If she managed to pack the same number of tomatoes into each box and ended up with 12 boxes, how many tomatoes did each box contain?
Llama 3 70B:
Reasoning: Since Marie ended up with 12 boxes, we can divide the total number of tomatoes (108) by the number of boxes (12) to find the number of tomatoes in each box. 108 รท 12 = 9 ### Answer: 9
Expected answer: 9
Correct? Yes
Problem: On a sunny beach day, a group of children starts a fun game. Each child gets to throw a beach ball 7 times in a row. If there have been 21 beach ball throws in total, how many children are there?
Llama 3 70B:
Reasoning: Let's say there are x children. Each child throws the beach ball 7 times, so the total number of throws is 7x. We know that the total number of throws is 21, so we can set up the equation 7x = 21. To solve for x, we can divide both sides of the equation by 7, which gives us x = 21/7 = 3. ### Answer: 3
Expected answer: 3
Correct? Yes
Problem: A mermaid finds a magical clam that generates pearls. The clam can generate 4 pearls every day. The mermaid wants to know how many pearls she will get after 1 day, how many pearls will she have?
Llama 3 70B:
Reasoning: The clam generates 4 pearls every day. Since the mermaid wants to know how many pearls she will get after 1 day, we can simply take the number of pearls generated per day, which is 4. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: There are 4 liters of juice available at a party. Each guest at the party had an equal share of the juice and each got 1 litre. How many guests attended the party?
Llama 3 70B:
Reasoning: Since each guest got 1 liter of juice and there were 4 liters of juice available, we can divide the total amount of juice by the amount each guest got to find the number of guests. 4 liters (total) รท 1 liter (per guest) = 4 guests ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: There are 40 oranges in several boxes. If each box contains 5 oranges, how many boxes are there?
Llama 3 70B:
Reasoning: To find the number of boxes, we need to divide the total number of oranges (40) by the number of oranges in each box (5). 40 รท 5 = 8 So, there are 8 boxes. ### Answer: 8
Expected answer: 8
Correct? Yes
Problem: A jungle gym has different sections. A total of 77 children are able to play on the gym at one time due to safety restrictions. If each section allows for 7 children to play at once, how many sections does the jungle gym have?
Llama 3 70B:
Reasoning: Let's divide the total number of children (77) by the number of children each section can hold (7) to find the number of sections. 77 รท 7 = 11 So, the jungle gym has 11 sections. ### Answer: 11
Expected answer: 11
Correct? Yes
Problem: In a national park, rangers found that there are 12 bear footprints. If each bear has a total of 6 footprints, how many bears passed through the park?
Llama 3 70B:
Reasoning: Since each bear has 6 footprints, we can divide the total number of footprints (12) by 6 to find the number of bears. 12 รท 6 = 2 So, 2 bears passed through the park. ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: Lisa has a laundry basket full of socks. She has 24 socks in total, and all the socks are paired. If each pair contains 2 socks, how many pairs of socks does Lisa have?
Llama 3 70B:
Reasoning: Since each pair contains 2 socks, we can divide the total number of socks (24) by 2 to find the number of pairs. 24 รท 2 = 12 ### Answer: 12
Expected answer: 12
Correct? Yes
Problem: In a supermarket, there are 56 tubes of toothpaste on the shelf. If there are 7 tubes of toothpaste for each different flavor, how many different flavors are there?
Llama 3 70B:
Reasoning: Let's divide the total number of tubes (56) by the number of tubes per flavor (7) to find the number of flavors. 56 รท 7 = 8 So, there are 8 different flavors of toothpaste. ### Answer: 8
Expected answer: 8
Correct? Yes
Problem: A photographer took 60 pictures using a newly designed camera. If each developed photo roll from the camera can hold up to 5 pictures, how many photo rolls did he use?
Llama 3 70B:
Reasoning: To find the number of photo rolls used, we need to divide the total number of pictures taken (60) by the number of pictures each roll can hold (5). 60 รท 5 = 12 So, the photographer used 12 photo rolls. ### Answer: 12
Expected answer: 12
Correct? Yes
Problem: In a particular area of the ocean, there are 90 dolphins. If each pod consists of 9 dolphins, how many pods are there?
Llama 3 70B:
Reasoning: To find the number of pods, we need to divide the total number of dolphins (90) by the number of dolphins in each pod (9). 90 รท 9 = 10 So, there are 10 pods of dolphins in the area. ### Answer: 10
Expected answer: 10
Correct? Yes
Problem: In a community of mermaids, the coral gardens need care and maintenance. It takes 18 hours for a group of mermaids to clean the coral garden. If each mermaid worked for 9 hours, how many mermaids were in the group?
Llama 3 70B:
Reasoning: Let's say there are x mermaids in the group. Since each mermaid worked for 9 hours, the total number of hours worked by all mermaids is 9x. We know that it takes 18 hours to clean the coral garden, so we can set up the equation: 9x = 18 To solve for x, we can divide both sides of the equation by 9: x = 18/9 x = 2 So, there were 2 mermaids in the group. ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: A father wants to set a limit on his son's screen time. He measures the daily television (TV) viewing time in hours. If he sets a limit of 3 hours per day, then how many hours will his son get to watch TV in one day?
Llama 3 70B:
Reasoning: The problem states that the father sets a limit of 3 hours per day, so the son will be allowed to watch TV for 3 hours in one day. ### Answer: 3
Expected answer: 3
Correct? Yes
Problem: At the children's park, there is a long slide which is 24 feet in length. If one segment of the slide is equal to 12 feet, how many segments are there in total on the slide?
Llama 3 70B:
Reasoning: To find the total number of segments, we need to divide the total length of the slide (24 feet) by the length of one segment (12 feet). 24 feet รท 12 feet = 2 So, there are 2 segments in total on the slide. ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: In a grocery store, every batch of strawberries has the same number of strawberries. If three batches contain a total of 6 strawberries, how many strawberries are there in one batch?
Llama 3 70B:
Reasoning: If three batches contain a total of 6 strawberries, we can divide 6 by 3 to find the number of strawberries in one batch. 6 รท 3 = 2 ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: A toy car factory produces a certain constant number of cars in 1 hour. If the factory produces 8 cars in one hour, what is this production rate constant?
Llama 3 70B:
Reasoning: Since the factory produces a constant number of cars in 1 hour, and it produces 8 cars in one hour, the production rate constant is 8 cars per hour. ### Answer: 8
Expected answer: 8
Correct? Yes
Problem: A watch store has 50 watches in stock, and they are divided equally into some display cases. If each display case contains 10 watches, how many display cases are there in the store?
Llama 3 70B:
Reasoning: To find the number of display cases, we need to divide the total number of watches (50) by the number of watches in each display case (10). 50 รท 10 = 5 So, there are 5 display cases in the store. ### Answer: 5
Expected answer: 5
Correct? Yes
Problem: Linda has a collection of dolls. She noticed that if she doubles the quantity of one specific model, she would have 2 dolls of that model. How many dolls of that model does she currently have?
Llama 3 70B:
Let's say Linda currently has x dolls of that specific model. If she doubles the quantity, she would have 2x dolls. According to the problem, doubling the quantity would result in 2 dolls. Therefore, we can set up the equation: 2x = 2 To solve for x, we can divide both sides by 2: x = 2/2 x = 1 So, Linda currently has 1 doll of that specific model. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: In a medieval castle, a soldier can secure 5 rooms every hour. He has secured 30 rooms in total. How many hours did the soldier work to secure all these rooms?
Llama 3 70B:
Reasoning: The soldier can secure 5 rooms every hour, so to find the number of hours he worked, we need to divide the total number of rooms he secured (30) by the number of rooms he can secure per hour (5). 30 รท 5 = 6 ### Answer: 6
Expected answer: 6
Correct? Yes
Problem: A puzzle consists of several pieces. If you divide the total number of pieces by 9, it gives you 11. How many pieces are there in the puzzle?
Llama 3 70B:
Let's say the total number of pieces in the puzzle is x. We know that when we divide x by 9, we get 11. We can write this as an equation: x รท 9 = 11 To solve for x, we can multiply both sides of the equation by 9: x = 11 ร 9 x = 99 ### Answer: 99
Expected answer: 99
Correct? Yes
Problem: A blanket making company can make 35 blankets in a week. If they make the same number of blankets every day, how many blankets do they make in a day?
Llama 3 70B:
Reasoning: Since there are 7 days in a week, the company makes 35 blankets in 7 days. To find out how many blankets they make in a day, we can divide the total number of blankets by the number of days: 35 รท 7 = 5. ### Answer: 5
Expected answer: 5
Correct? Yes
Problem: A student has a total of 2 packs of pencils. Each pack contains 3 pencils. How many pencils does the student have in total?
Llama 3 70B:
Reasoning: The student has 2 packs of pencils, and each pack contains 3 pencils. To find the total number of pencils, we can multiply the number of packs by the number of pencils in each pack: 2 x 3 = 6. ### Answer: 6
Expected answer: 6
Correct? Yes
Problem: In a juice bar, a fruit section has 45 liters of freshly squeezed orange juice. If each serving of juice requires the same amount in liters, and the quantity is such that it yields 5 servings, what is the quantity in liters of each serving?
Llama 3 70B:
Reasoning: If 45 liters of juice yields 5 servings, we can find the quantity of each serving by dividing the total amount of juice by the number of servings. Quantity per serving = Total amount of juice รท Number of servings = 45 liters รท 5 = 9 liters ### Answer: 9 liters
Expected answer: 9
Correct? Yes
Problem: A clothing store owner has 24 pants in stock. If each box of pants he ordered contains 12 pants, how many boxes did he order?
Llama 3 70B:
Let's say the number of boxes ordered is x. Since each box contains 12 pants, the total number of pants received is 12x. We know that the store owner received enough pants to increase the stock from 24 to 48 (since 48 - 24 = 24, the number of new pants). So, we can set up the equation: 12x = 24 To solve for x, we can divide both sides by 12: x = 24/12 x = 2 ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: In a forest, there are bears that stand 8 feet tall each. If the total height of all bears standing together is 8 feet, how many bears are there?
Llama 3 70B:
Reasoning: Since the total height of all bears standing together is 8 feet, and each bear is 8 feet tall, we can conclude that there is only one bear. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: A pillow manufacturer produces i pillows each day. If this number is divided by 11, the result is 6 pillows. What is the total number of pillows the manufacturer produces each day?
Llama 3 70B:
Let's set up an equation based on the problem: i รท 11 = 6 To solve for i, we can multiply both sides of the equation by 11: i = 6 ร 11 i = 66 ### Answer: 66
Expected answer: 66
Correct? Yes
Problem: A warehouse stores 70 crayons and they are distributed equally into multiple boxes. If each box contains 10 crayons, how many boxes are there in the warehouse?
Llama 3 70B:
Reasoning: To find the number of boxes, we need to divide the total number of crayons (70) by the number of crayons in each box (10). 70 รท 10 = 7 So, there are 7 boxes in the warehouse. ### Answer: 7
Expected answer: 7
Correct? Yes
Problem: A song lasts for 90 seconds. If every verse takes exactly the same amount of time and the entire song contains 10 verses, how long does each verse last?
Llama 3 70B:
Reasoning: Since the entire song lasts for 90 seconds and it contains 10 verses, we can divide the total time by the number of verses to find the time for each verse. 90 seconds รท 10 verses = 9 seconds per verse ### Answer: 9 seconds
Expected answer: 9
Correct? Yes
Problem: In a forest nursery, each of the seed trays contains 8 tree saplings. If the total number of saplings is 16, how many seed trays are there?
Llama 3 70B:
Reasoning: Let's say there are x seed trays. Since each tray has 8 saplings, the total number of saplings is 8x. We know that the total number of saplings is 16, so we can set up the equation 8x = 16. To solve for x, we can divide both sides of the equation by 8, which gives us x = 16/8 = 2. ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: In a jewelry store, there are 10 bracelets made by one craftsman. If each craftsman made exactly the same amount of bracelets, and there is 1 bracelet per craftsman displayed in the showroom, how many craftsmen's work is displayed in the showroom?
Llama 3 70B:
Reasoning: If each craftsman made exactly the same amount of bracelets, and there are 10 bracelets made by one craftsman, then each craftsman made 10 bracelets. If there is 1 bracelet per craftsman displayed in the showroom, then the number of craftsmen's work displayed in the showroom is the total number of bracelets in the showroom, which is 10. ### Answer: 10
Expected answer: 10
Correct? Yes
Problem: A giraffe spent 2 hours eating leaves. If the giraffe consumes 12 kilograms of leaves in this period, how many kilograms of leaves does the giraffe eat per hour?
Llama 3 70B:
Reasoning: The giraffe consumes 12 kilograms of leaves in 2 hours. To find out how many kilograms of leaves the giraffe eats per hour, we need to divide the total amount of leaves consumed by the time it took to consume them. 12 kilograms รท 2 hours = 6 kilograms per hour ### Answer: 6
Expected answer: 6
Correct? Yes
Problem: A jewelry maker has a total of 36 beads. They want to create a bracelet which involves 9 beads each. How many bracelets can the jewelry maker create?
Llama 3 70B:
Reasoning: To find out how many bracelets the jewelry maker can create, we need to divide the total number of beads by the number of beads required for each bracelet. Let's divide 36 beads by 9 beads per bracelet: 36 รท 9 = 4 So, the jewelry maker can create 4 bracelets. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: In a jungle gym, there are a certain amount of play sections. Each play section has 7 monkeys playing on it. If there are 35 monkeys in total, how many play sections are there in the jungle gym?
Llama 3 70B:
Reasoning: Let's say there are x play sections in the jungle gym. Since each play section has 7 monkeys, the total number of monkeys is 7x. We know that there are 35 monkeys in total, so we can set up the equation 7x = 35. To solve for x, we can divide both sides of the equation by 7, which gives us x = 35/7 = 5. ### Answer: 5
Expected answer: 5
Correct? Yes
Problem: A person watches a 56-hour long TV series. If they watch the same amount of hours each day and they finish watching in 7 days, how many hours do they watch per day?
Llama 3 70B:
Reasoning: The person watches a total of 56 hours of the TV series. They finish watching in 7 days, so to find out how many hours they watch per day, we can divide the total number of hours by the number of days: 56 รท 7 = 8. ### Answer: 8
Expected answer: 8
Correct? Yes
Problem: In a furniture warehouse, each door panel weighs 5kg. If the total weight of all door panels is 45kg, how many door panels are there in the warehouse?
Llama 3 70B:
Reasoning: Let's say there are x door panels in the warehouse. Since each door panel weighs 5kg, the total weight of all door panels is 5x kg. We know that the total weight is 45kg, so we can set up the equation: 5x = 45 To solve for x, we can divide both sides of the equation by 5: x = 45 รท 5 x = 9 So, there are 9 door panels in the warehouse. ### Answer: 9
Expected answer: 9
Correct? Yes
Problem: There are 9 clouds in the sky. Each cloud has the exact same weight (w). What is the weight of one cloud if the total weight of all the 9 clouds is 9?
Llama 3 70B:
Let's say the weight of one cloud is w. Since all clouds have the same weight, the total weight of all 9 clouds is 9w. We are given that the total weight of all 9 clouds is 9. So, we can set up the equation: 9w = 9 To find the weight of one cloud, we can divide both sides of the equation by 9: w = 9/9 w = 1 ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: A train travels at a certain speed. If that speed is halved, it goes at 3 km/hr. What is the original speed of the train in km/hr?
Llama 3 70B:
Let's call the original speed of the train "x" km/hr. Since the speed is halved, the new speed is x/2 km/hr. We are given that the new speed is 3 km/hr, so we can set up the equation: x/2 = 3 To solve for x, we can multiply both sides of the equation by 2: x = 3 ร 2 x = 6 So, the original speed of the train is 6 km/hr. ### Answer: 6
Expected answer: 6
Correct? Yes
Problem: James has a toy car collection. He noticed that when he counts his collection, he gets a total of 12 cars. If each type of car he has comes in pairs, how many types of toy cars does James have?
Llama 3 70B:
Reasoning: Since each type of car comes in pairs, the total number of cars (12) must be an even number. To find the number of types of cars, we can divide the total number of cars by 2, since each type comes in pairs. 12 รท 2 = 6 ### Answer: 6
Expected answer: 6
Correct? Yes
Problem: A sailor has several identical boats. If all of his boats are out in the water, there are 8 boats sailing in total. If each boat comes in pairs, how many pairs of boats does the sailor own?
Llama 3 70B:
Reasoning: Since each boat comes in pairs, the total number of boats (8) must be an even number. To find the number of pairs, we can divide the total number of boats by 2. 8 รท 2 = 4 ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: A farmer harvested 6 kilograms of tomatoes from his farm. If every basket he uses can carry 2 kilograms of tomatoes, how many baskets does he need to pack all his tomatoes?
Llama 3 70B:
Reasoning: The farmer has 6 kilograms of tomatoes and each basket can carry 2 kilograms. To find out how many baskets he needs, we can divide the total weight of tomatoes by the weight each basket can carry: 6 รท 2 = 3. ### Answer: 3
Expected answer: 3
Correct? Yes
Problem: A police officer notices that every car parked in the no-parking zone receives a ticket. If there are 6 cars parked in the no-parking zone and each is given one ticket, how many tickets does the officer distribute?
Llama 3 70B:
Reasoning: Since each of the 6 cars receives one ticket, the total number of tickets distributed is equal to the number of cars, which is 6. ### Answer: 6
Expected answer: 6
Correct? Yes
Problem: The distance between two points on the moon is 96 miles. If each small sector of the moon covers 8 miles, then how many sectors are there between these two points?
Llama 3 70B:
Reasoning: To find the number of sectors, we need to divide the total distance by the distance covered by each sector. Let's divide the total distance (96 miles) by the distance covered by each sector (8 miles): 96 รท 8 = 12 So, there are 12 sectors between the two points on the moon. ### Answer: 12
Expected answer: 12
Correct? Yes
Problem: A vineyard worker has been assigned to pick grapes from a certain number of plants. He picks 24 bunches of grapes after picking from 4 plants. How many bunches of grapes does he pick from each plant?
Llama 3 70B:
Reasoning: Let's say the worker picks x bunches of grapes from each plant. Since he picks grapes from 4 plants, the total number of bunches he picks is 4x. We know that he picks 24 bunches in total, so we can set up the equation 4x = 24. To solve for x, we can divide both sides of the equation by 4, which gives us x = 24/4 = 6. ### Answer: 6
Expected answer: 6
Correct? Yes
Problem: A building has 120 square feet of window space. If each window takes up 10 square feet, how many windows are on the building?
Llama 3 70B:
Reasoning: To find the number of windows, we need to divide the total window space (120 square feet) by the area of each window (10 square feet). Let's divide 120 by 10: 120 รท 10 = 12 So, there are 12 windows on the building. ### Answer: 12
Expected answer: 12
Correct? Yes
Problem: At a beach party, there are 55 beach balls available for guests to play with. If each color of beach ball is present in groups of 5, how many different colors of beach balls are there?
Llama 3 70B:
Reasoning: Since each color of beach ball is present in groups of 5, we can divide the total number of beach balls (55) by 5 to find the number of different colors. 55 รท 5 = 11 This means there are 11 different colors of beach balls. ### Answer: 11
Expected answer: 11
Correct? Yes
Problem: A pirate finds a chest full of gold doubloons. If each doubloon weighs 9 grams and the total weight of all his doubloons is 90 grams, how many doubloons has the pirate found?
Llama 3 70B:
Reasoning: Let's say the number of doubloons the pirate found is x. Since each doubloon weighs 9 grams, the total weight of all the doubloons is 9x grams. We know that the total weight is 90 grams, so we can set up the equation: 9x = 90 To solve for x, we can divide both sides of the equation by 9: x = 90 รท 9 x = 10 So, the pirate found 10 doubloons. ### Answer: 10
Expected answer: 10
Correct? Yes
Problem: A student has a total of 18 erasers. If he puts them into 6 equally-sized boxes, how many erasers would each box contain?
Llama 3 70B:
Reasoning: To find the number of erasers in each box, we need to divide the total number of erasers (18) by the number of boxes (6). 18 รท 6 = 3 So, each box would contain 3 erasers. ### Answer: 3
Expected answer: 3
Correct? Yes
Problem: A beader has 36 beads for making bracelets. If each bracelet uses 12 beads, how many bracelets can the beader make?
Llama 3 70B:
Reasoning: To find out how many bracelets the beader can make, we need to divide the total number of beads by the number of beads used per bracelet. Let's divide 36 beads by 12 beads per bracelet: 36 รท 12 = 3 So, the beader can make 3 bracelets. ### Answer: 3
Expected answer: 3
Correct? Yes
Problem: Mountain Peak, the famous company for manufacturing bicycles, produces a new model of bicycles every year. Currently, they have 63 bicycles ready for sale. If each gear of the new model can sell exactly 7 bicycles, how many gears are there in the new model of the bicycle?
Llama 3 70B:
Reasoning: Let's say the number of gears is x. Since each gear can sell exactly 7 bicycles, the total number of bicycles sold is 7x. We know that the total number of bicycles sold is 63, so we can set up the equation 7x = 63. To solve for x, we can divide both sides of the equation by 7, which gives us x = 63/7 = 9. ### Answer: 9
Expected answer: 9
Correct? Yes
Problem: A contractor has 80 windows to fit into houses. If each house requires 8 windows, how many houses can the contractor completely outfit with window fittings?
Llama 3 70B:
Reasoning: To find the number of houses the contractor can completely outfit, we need to divide the total number of windows (80) by the number of windows required per house (8). 80 รท 8 = 10 This means the contractor can completely outfit 10 houses with window fittings. ### Answer: 10
Expected answer: 10
Correct? Yes
Problem: A compass maker sells 12 compasses each day for a certain number of days. After a while, he has sold a total of 84 compasses. How many days did it take to sell this many compasses?
Llama 3 70B:
Reasoning: Let's say the compass maker sold compasses for x days. Since he sells 12 compasses each day, the total number of compasses sold is 12x. We know that the total number of compasses sold is 84, so we can set up the equation 12x = 84. To solve for x, we can divide both sides of the equation by 12, which gives us x = 84/12 = 7. ### Answer: 7
Expected answer: 7
Correct? Yes
Problem: A new computer lab at a school has 3 computers per row. If there are 7 rows in total, how many computers are there in the computer lab?
Llama 3 70B:
Reasoning: Since there are 3 computers per row, and there are 7 rows, we can multiply the number of computers per row by the number of rows to find the total number of computers. 3 computers/row ร 7 rows = 3 ร 7 = 21 computers ### Answer: 21
Expected answer: 21
Correct? Yes
Problem: A painter has 4 cups of yellow paint. If he uses those 4 cups to paint at a rate of 1 cup per large wall, how many large walls can he paint?
Llama 3 70B:
Reasoning: The painter uses 1 cup of paint per large wall. He has 4 cups of paint. To find the number of large walls he can paint, we can divide the total number of cups of paint by the number of cups used per wall. 4 cups (total) รท 1 cup (per wall) = 4 walls ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: In a lemon farm, each tree produces lemons in a consistent way. If 6 trees can produce 60 lemons in total, how many lemons does each tree, on average, produce?
Llama 3 70B:
Reasoning: Let's say each tree produces x lemons on average. Since 6 trees produce 60 lemons in total, we can set up the equation: 6x = 60. To find the value of x, we can divide both sides of the equation by 6: x = 60/6 = 10. So, each tree, on average, produces 10 lemons. ### Answer: 10
Expected answer: 10
Correct? Yes
Problem: In a library, there are 9 books that form a complete series. If each book in the series corresponds to 1 complete story, how many stories are in the series?
Llama 3 70B:
Reasoning: Since each book in the series corresponds to 1 complete story, the number of stories in the series is equal to the number of books in the series. There are 9 books in the series, so there are 9 stories in the series. ### Answer: 9
Expected answer: 9
Correct? Yes
Problem: A clothing factory has 6 yards of fabric to make shirts. Each shirt requires 3 yards of fabric. How many shirts can the factory make?
Llama 3 70B:
Reasoning: To find out how many shirts the factory can make, we need to divide the total amount of fabric (6 yards) by the amount of fabric required for each shirt (3 yards). 6 yards (total fabric) รท 3 yards (per shirt) = 2 shirts ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: There are 24 train compartments in a train. Each train car consists of 8 compartments. How many cars does the train have?
Llama 3 70B:
Reasoning: To find the number of cars, we need to divide the total number of compartments by the number of compartments in each car. Let's divide 24 (total compartments) by 8 (compartments per car): 24 รท 8 = 3 So, the train has 3 cars. ### Answer: 3
Expected answer: 3
Correct? Yes
Problem: A clothing factory produces pants and is currently working on 32 pairs. Each rack in the factory can hold 8 pairs of pants. How many racks are being used to hold all the pants?
Llama 3 70B:
Reasoning: To find the number of racks being used, we need to divide the total number of pairs of pants (32) by the number of pairs each rack can hold (8). 32 รท 8 = 4 So, 4 racks are being used to hold all the pants. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: A contractor is designing a large window for a client. The window is to be separated into smaller square panes. If each square pane has 9 square inches of glass and total square inches of glass used for the large window is 36, what is the number of square panes in the window?
Llama 3 70B:
Reasoning: Let's say the number of square panes is x. Since each square pane has 9 square inches of glass, the total square inches of glass used for the large window is 9x. We know that the total square inches of glass used is 36, so we can set up the equation 9x = 36. To solve for x, we can divide both sides of the equation by 9, which gives us x = 36/9 = 4. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: Granny loves to knit blankets for her grandchildren. She uses 12 balls of yarn for each blanket. If Granny has 72 balls of yarn, how many blankets can she knit?
Llama 3 70B:
Reasoning: To find out how many blankets Granny can knit, we need to divide the total number of balls of yarn she has (72) by the number of balls of yarn she uses for each blanket (12). 72 รท 12 = 6 So, Granny can knit 6 blankets with the yarn she has. ### Answer: 6
Expected answer: 6
Correct? Yes
Problem: A dairy farm produces milk packets. Each day, it produces 3 times the amount of milk packets it produced on the previous day. If on the third day, it produced 33 milk packets, how many milk packets did it produce on the second day?
Llama 3 70B:
Let's work backwards to find the number of milk packets produced on the second day. Since the farm produces 3 times the amount of milk packets each day, on the third day, it produced 3 times the amount it produced on the second day. Let's call the number of milk packets produced on the second day "x". Then, on the third day, it produced 3x milk packets. We know that on the third day, it produced 33 milk packets, so we can set up the equation: 3x = 33 To solve for x, we can divide both sides by 3: x = 33 รท 3 x = 11 So, the dairy farm produced 11 milk packets on the second day. ### Answer: 11
Expected answer: 11
Correct? Yes
Problem: A helicopter company has a policy of ensuring that each of their helicopters gets 10 hours of maintenance for every time it's used. If a particular helicopter has had 70 hours of maintenance, how many times has it been used?
Llama 3 70B:
Reasoning: Let's say the helicopter has been used x times. According to the policy, it gets 10 hours of maintenance for every time it's used, so the total hours of maintenance would be 10x. We know that the total hours of maintenance is 70, so we can set up the equation: 10x = 70 To solve for x, we can divide both sides by 10: x = 70/10 x = 7 So, the helicopter has been used 7 times. ### Answer: 7
Expected answer: 7
Correct? Yes
Problem: There are 6 elephants in the zoo and they are divided into different habitats. If each habitat has 2 elephants, how many habitats are there in the zoo?
Llama 3 70B:
Reasoning: To find the number of habitats, we need to divide the total number of elephants (6) by the number of elephants in each habitat (2). 6 รท 2 = 3 So, there are 3 habitats in the zoo. ### Answer: 3
Expected answer: 3
Correct? Yes
Problem: A dolphin can jump 5 times in a single minute. If a dolphin continuously jumps for 'p' minutes, it can jump 60 times. How many minutes did the dolphin jump for?
Llama 3 70B:
Reasoning: The dolphin can jump 5 times in 1 minute. Let's set up an equation to represent the situation: 5p = 60, where p is the number of minutes the dolphin jumped for. To solve for p, we can divide both sides of the equation by 5: p = 60/5 = 12. ### Answer: 12
Expected answer: 12
Correct? Yes
Problem: In a large forest, there are groups of trees. Each group has 7 trees. If there are 63 trees in total, how many groups of trees are there in the forest?
Llama 3 70B:
Reasoning: Let's divide the total number of trees (63) by the number of trees in each group (7) to find the number of groups. 63 รท 7 = 9 This means there are 9 groups of trees in the forest. ### Answer: 9
Expected answer: 9
Correct? Yes
Problem: A hat shop has created 96 new hats to sell. If each style has exactly 12 of the same hat, how many styles does the hat shop have?
Llama 3 70B:
Reasoning: Since each style has exactly 12 of the same hat, we can divide the total number of hats (96) by 12 to find the number of styles. 96 รท 12 = 8 This means the hat shop has 8 different styles of hats. ### Answer: 8
Expected answer: 8
Correct? Yes
Problem: In a certain month, it rained consistently every couple of days. If it rained 24 days in total and each period of continuous rain lasted for 8 days, how many periods of rain were there in that month?
Llama 3 70B:
Reasoning: Since each period of continuous rain lasted for 8 days, and it rained a total of 24 days, we can divide the total number of rainy days by the number of days in each period to find the number of periods. 24 days (total) รท 8 days (per period) = 3 periods ### Answer: 3
Expected answer: 3
Correct? Yes
Problem: In a factory, 6 bottles are manufactured in a single cycle. If the factory has manufactured 48 bottles today, how many cycles of production have been performed?
Llama 3 70B:
Reasoning: Let's divide the total number of bottles manufactured (48) by the number of bottles manufactured in a single cycle (6) to find the number of cycles. 48 รท 6 = 8 This means the factory has performed 8 cycles of production to manufacture 48 bottles. ### Answer: 8
Expected answer: 8
Correct? Yes
Problem: At a live concert, a singer wants to sing 110 verses to entertain his fans. He decides to divide the verses evenly among 10 songs. How many verses will there be in each song?
Llama 3 70B:
Reasoning: To find the number of verses in each song, we need to divide the total number of verses (110) by the number of songs (10). 110 รท 10 = 11 So, there will be 11 verses in each song. ### Answer: 11
Expected answer: 11
Correct? Yes
Problem: In a photography studio, there are 16 cameras that are shared by photographers. If each photographer gets 2 cameras, how many photographers are there in the studio?
Llama 3 70B:
Reasoning: Let's say there are x photographers in the studio. Since each photographer gets 2 cameras, the total number of cameras is 2x. We know that there are 16 cameras in the studio, so we can set up the equation 2x = 16. To solve for x, we can divide both sides of the equation by 2, which gives us x = 16/2 = 8. ### Answer: 8
Expected answer: 8
Correct? Yes
Problem: At a zoo, a group of 99 penguins need to be separated into different areas so each one has 9 penguins. How many areas are needed to separate all the penguins evenly?
Llama 3 70B:
Reasoning: To find the number of areas needed, we need to divide the total number of penguins (99) by the number of penguins per area (9). 99 รท 9 = 11 So, 11 areas are needed to separate all the penguins evenly. ### Answer: 11
Expected answer: 11
Correct? Yes
Problem: A Piano teacher sets a task to practice specific pieces of music. Each piece takes 3 hours to practice thoroughly. If her student has 9 hours for practice, how many pieces can the student practice thoroughly?
Llama 3 70B:
Reasoning: Since each piece takes 3 hours to practice thoroughly, we can divide the total practice time (9 hours) by the time it takes to practice one piece (3 hours) to find the number of pieces the student can practice. 9 hours รท 3 hours/piece = 3 pieces ### Answer: 3
Expected answer: 3
Correct? Yes
Problem: In a pillow factory, 3 pillows can be stitched from a certain amount of fabric. If the fabric used is divided by 6, that results in the number of pillows that can be made from it. How much fabric is used to make these 3 pillows?
Llama 3 70B:
Let's say the amount of fabric used to make 3 pillows is x. Since dividing the fabric by 6 gives the number of pillows that can be made from it, we can set up the equation: x รท 6 = 3 To solve for x, we can multiply both sides of the equation by 6: x = 3 ร 6 x = 18 So, the amount of fabric used to make 3 pillows is 18 units. ### Answer: 18
Expected answer: 18
Correct? Yes
Problem: A stationery store sells pens in packs. If each pack contains 9 pens, and there are exactly 9 packs, how many pens are in the store?
Llama 3 70B:
Reasoning: Since there are 9 packs, and each pack contains 9 pens, we can multiply the number of packs by the number of pens in each pack to find the total number of pens. 9 packs x 9 pens/pack = 9 x 9 = 81 pens ### Answer: 81
Expected answer: 81
Correct? Yes
Problem: A tiger has 4 pounds of meat for his meal today. If one serving size is an eighth of a pound, then how many servings are in the tiger's meal?
Llama 3 70B:
Reasoning: To find the number of servings, we need to divide the total amount of meat (4 pounds) by the serving size (1/8 pound). 4 pounds = 4 ร 8/8 = 32/8 (convert 4 pounds to eighths of a pound) Now, divide 32/8 by 1/8 (the serving size): 32/8 รท 1/8 = 32 ### Answer: 32
Expected answer: 32
Correct? Yes
Problem: At a birthday party, there is a long string of 5 meters that is used for tying the balloons. If each balloon requires 1 meter of string to be tied, how many balloons can be tied with this string?
Llama 3 70B:
Reasoning: Since each balloon requires 1 meter of string, we can divide the total length of the string (5 meters) by the length required per balloon (1 meter) to find the number of balloons that can be tied. 5 meters (total string) รท 1 meter (per balloon) = 5 balloons ### Answer: 5
Expected answer: 5
Correct? Yes
Problem: A plane crashed into a deserted island and split into multiple parts. After an investigation, it was found that there were 48 parts in total. If each plane section accounts for 8 parts, how many sections did the plane originally have before the crash?
Llama 3 70B:
Reasoning: Let's say the plane had x sections before the crash. Since each section accounts for 8 parts, the total number of parts would be 8x. We know that the total number of parts is 48, so we can set up the equation 8x = 48. To solve for x, we can divide both sides of the equation by 8, which gives us x = 48/8 = 6. ### Answer: 6
Expected answer: 6
Correct? Yes
Problem: A farmer has a field full of strawberry plants. He collects 40 strawberries and divides them equally among his friends. If each friend is given 4 strawberries, how many friends does the farmer have?
Llama 3 70B:
Reasoning: The farmer has 40 strawberries and divides them equally among his friends. If each friend gets 4 strawberries, we can divide the total number of strawberries by the number of strawberries each friend gets to find the number of friends. 40 รท 4 = 10 ### Answer: 10
Expected answer: 10
Correct? Yes
Problem: On a fun fair, a hot chocolate booth sells their beverage for 10 dollars per cup. One day, they manage to earn a total of 70 dollars. How many cups of hot chocolate did they sell?
Llama 3 70B:
Reasoning: Let's say the number of cups of hot chocolate sold is x. Since each cup costs $10, the total amount earned is $10x. We know that the total amount earned is $70, so we can set up the equation: 10x = 70 To solve for x, we can divide both sides of the equation by 10: x = 70 รท 10 x = 7 So, the hot chocolate booth sold 7 cups of hot chocolate. ### Answer: 7
Expected answer: 7
Correct? Yes
Problem: A jeweler has a certain amount of precious rings. If he sold 5 rings for a total of 35 dollars, how much does each ring cost?
Llama 3 70B:
Reasoning: Let's say the cost of each ring is x. Since the jeweler sold 5 rings for a total of 35 dollars, we can set up the equation: 5x = 35. To find the cost of each ring, we can divide both sides of the equation by 5: x = 35 รท 5 = 7. ### Answer: 7
Expected answer: 7
Correct? Yes
Problem: There are 60 lions in a national park. If the park authority decides to evenly distribute these lions into different regions such that each region has exactly 10 lions, how many regions would there be?
Llama 3 70B:
Reasoning: To find the number of regions, we need to divide the total number of lions (60) by the number of lions in each region (10). 60 รท 10 = 6 This means that the 60 lions can be evenly distributed into 6 regions, with 10 lions in each region. ### Answer: 6
Expected answer: 6
Correct? Yes
Problem: For an upcoming clothing sale, a store decides to discount their jackets. After the discount, each jacket costs 6 dollars. If the original price was "d" dollars and it's now 1/5th of its original price, what was the original price of the jacket?
Llama 3 70B:
Let's start by using the information that the discounted price is 1/5th of the original price. We can set up an equation: 6 = d/5 To solve for d, we can multiply both sides of the equation by 5: 5 ร 6 = d 30 = d So, the original price of the jacket was 30 dollars. ### Answer: 30
Expected answer: 30
Correct? Yes
Problem: In a zoo, each giraffe eats 7 pounds of food each day. If the total amount of food consumed by the giraffes is 28 pounds today, how many giraffes are there in the zoo?
Llama 3 70B:
Reasoning: Let's say there are x giraffes in the zoo. Since each giraffe eats 7 pounds of food, the total amount of food consumed by the giraffes is 7x pounds. We know that the total amount of food consumed is 28 pounds, so we can set up the equation: 7x = 28 To solve for x, we can divide both sides of the equation by 7: x = 28/7 x = 4 So, there are 4 giraffes in the zoo. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: In a shallow pool, a group of 30 starfish decided to divide themselves equally to live in different zones of the pool. If each zone contains 6 starfish, how many zones are there in total?
Llama 3 70B:
Reasoning: To find the total number of zones, we need to divide the total number of starfish (30) by the number of starfish in each zone (6). 30 รท 6 = 5 So, there are 5 zones in total. ### Answer: 5
Expected answer: 5
Correct? Yes
Problem: An astronaut has 88 hours of oxygen in his tank. If he can use this tank for 8 days, how many hours of oxygen does the tank provide each day?
Llama 3 70B:
Reasoning: The astronaut has 88 hours of oxygen in total. If he can use the tank for 8 days, we can divide the total hours by the number of days to find the hours per day. 88 hours รท 8 days = 11 hours per day ### Answer: 11
Expected answer: 11
Correct? Yes