Claude-3 Sonnet on 3.OA.A.4
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?
Claude-3 Sonnet:
To solve this problem, we need to find out how many groups of 5 builders can be formed with the total of 15 builders. Given information: - Each castle requires 5 builders. - There are 15 builders in total. Step 1: Divide the total number of builders by the number of builders required for each castle. Number of castles = Total number of builders / Number of builders required per castle Number of castles = 15 / 5 Number of castles = 3 Therefore, with 15 builders and each castle requiring 5 builders, the king can build 3 castles. ### 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?
Claude-3 Sonnet:
To solve this problem, we need to divide the total amount of toothpaste in the tube by the amount consumed per usage. Given information: - The mega-sized tube of toothpaste contains 77 grams of toothpaste. - Each usage consumes 11 grams of toothpaste. Step 1: Divide the total amount of toothpaste by the amount consumed per usage. Number of usages = Total amount of toothpaste / Amount consumed per usage Number of usages = 77 grams / 11 grams per usage Number of usages = 7 Therefore, you can get 7 usages from the mega-sized 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?
Claude-3 Sonnet:
To solve this problem, we need to find the number of hours it took to produce 48 watches, given that the manufacturer can produce 8 watches per hour. Given information: - The watch manufacturer can produce 8 watches every hour. - They have manufactured a total of 48 watches. Let's represent the number of hours worked as x. Since they can produce 8 watches per hour, the number of watches produced in x hours is 8x. We know that the total number of watches produced is 48, so we can set up an equation: 8x = 48 To find the value of x, we need to divide both sides of the equation by 8: x = 48 / 8 x = 6 Therefore, the watch manufacturer worked for 6 hours to produce a total of 48 watches. ### 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?
Claude-3 Sonnet:
To solve this problem, we need to find the number of toy mice each kitten has when the total number of toy mice is equally distributed among them. Given information: - The cat mother has 3 kittens. - There are 3 toy mice available. Since there are 3 toy mice and 3 kittens, each kitten can have 1 toy mouse. Step 1: Divide the total number of toy mice by the number of kittens. Number of toy mice per kitten = Total number of toy mice / Number of kittens Number of toy mice per kitten = 3 / 3 Number of toy mice per kitten = 1 Therefore, each kitten has 1 toy mouse. ### 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?
Claude-3 Sonnet:
To solve this problem, we need to find the number of hours it takes for the tiger to eat all the fishes, given that it eats 2 fishes per hour. Given information: - The tiger caught 12 fishes. - The tiger eats 2 fishes per hour. Step 1: Find the number of hours it takes to eat all the fishes. Number of fishes caught / Number of fishes eaten per hour = Number of hours required 12 fishes / 2 fishes per hour = 6 hours Therefore, it will take the tiger 6 hours to finish all the 12 fishes. ### 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?
Claude-3 Sonnet:
To solve this problem, we need to find out how many sets of 8 shirts are in 56 shirts. Given information: - Each design requires 8 shirts for the first samples. - The company printed 56 shirts for this purpose. Step 1: Divide the total number of shirts printed by the number of shirts required for each design. Number of designs = Total number of shirts printed / Number of shirts required for each design Number of designs = 56 shirts / 8 shirts per design Step 2: Perform the division. Number of designs = 56 / 8 Number of designs = 7 Therefore, the company plans to print 7 designs. ### 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?
Claude-3 Sonnet:
To solve this problem, we need to find the number of hours the rider used the scooter based on the total cost and the hourly rate. Given information: - The scooter rental shop charges $7 per hour. - The rider spent $35. We can set up an equation to represent the relationship between the cost, the hourly rate, and the number of hours. Let x be the number of hours the rider used the scooter. Cost = Hourly rate × Number of hours $35 = $7 × x Dividing both sides by $7, we get: x = $35 / $7 x = 5 hours Therefore, the rider used the scooter for 5 hours. ### 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?
Claude-3 Sonnet:
To solve this problem, we need to find the speed of the car using the given information about the distance traveled and the time taken. Given information: - The car travels at a consistent speed. - The total distance traveled is 32 miles. - The time taken to complete the trip is 8 hours. We know that speed is equal to the distance traveled divided by the time taken. Speed = Distance / Time Substituting the given values, we get: Speed = 32 miles / 8 hours Speed = 4 miles per hour Therefore, the speed of the car is 4 miles per hour. ### Answer: 4
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?
Claude-3 Sonnet:
To solve this problem, we need to find the greatest common divisor (GCD) of 77 and 11, as the number of bracelets in each collection must be a multiple of both 77 and 11. We can use the Euclidean algorithm to find the GCD of 77 and 11: 77 = 11 × 7 + 0 11 = 0 × 11 + 11 Therefore, the GCD of 77 and 11 is 11. Since each collection consists of identical bracelets in distinct multiples of 11, the number of bracelets in each collection must be a multiple of 11. To find the number of bracelets in each collection, we divide 77 by 11: 77 ÷ 11 = 7 Therefore, there are 7 bracelets in each collection. ### 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?
Claude-3 Sonnet:
To solve this problem, we need to use the given information and the properties of right triangles. Given information: - The vertical height of the tent is half of its diagonal length. - The diagonal length of the tent is 14 feet. Let's represent the diagonal length as d and the vertical height as h. According to the given information, we have: h = (1/2) × d Substituting the value of d = 14 feet, we get: h = (1/2) × 14 h = 7 feet Therefore, the vertical height of the tent is 7 feet. ### Answer: 7
Expected answer: 7
Correct? Yes
Problem: A café 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?
Claude-3 Sonnet:
To solve this problem, we need to find the relationship between the number of marshmallows and the number of cups of hot chocolate. Given information: - Each cup of hot chocolate contains 11 marshmallows. - The customer found 22 marshmallows in their hot chocolate. We can set up a proportion to find the number of cups of hot chocolate: Number of marshmallows in one cup : Number of cups 11 : x Substituting the given information, we get: 11 : x = 22 : 1 Cross-multiplying, we get: 11 × 1 = 22 × x 11 = 22x x = 11/22 x = 0.5 Therefore, the customer purchased 0.5 cups of hot chocolate, which is equivalent to 1 cup. ### Answer: 1
Expected answer: 2
Correct? No
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?
Claude-3 Sonnet:
To solve this problem, we need to find the total weight of the tomatoes given that when divided equally into 4 groups, each group weighs 11 kilograms. Given information: - The total weight of the tomatoes, when divided equally into 4 groups, gives 11 kilograms per group. Step 1: Find the total weight of the tomatoes by multiplying the weight of one group by the number of groups. Total weight of the tomatoes = Weight of one group × Number of groups Total weight of the tomatoes = 11 kilograms × 4 groups Total weight of the tomatoes = 44 kilograms Therefore, the total weight of the tomatoes is 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?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of laces Sarah has and then divide it by the number of laces needed for each pair of ice skates. Given information: - Sarah has 45 pairs of laces. - She uses 5 laces for each pair of ice skates. Step 1: Find the total number of laces Sarah has. Total number of laces = Number of pairs of laces × Number of laces in each pair Total number of laces = 45 × 2 = 90 laces Step 2: Find the number of pairs of ice skates Sarah has. Number of pairs of ice skates = Total number of laces / Number of laces needed for each pair Number of pairs of ice skates = 90 / 5 = 18 pairs of ice skates Therefore, Sarah has 18 pairs of ice skates. ### Answer: 18
Expected answer: 9
Correct? No
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?
Claude-3 Sonnet:
To solve this problem, we need to find the relationship between the speed of the wind turbine on a breezeless day and a windy day. Given information: - On a breezeless day, the wind turbine rotates at half of its speed compared to a windy day. - On a breezeless day, the wind turbine rotates at 3 revolutions per minute. Let's represent the speed of the wind turbine on a windy day as x revolutions per minute. Since on a breezeless day, the wind turbine rotates at half of its speed compared to a windy day, we can write the equation: 3 = x/2 Multiplying both sides by 2, we get: 6 = x Therefore, on a windy day, the wind turbine rotates at 6 revolutions per minute. ### 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?
Claude-3 Sonnet:
To solve this problem, we need to find the number of hours for which the customer rented the roller skates, given that the total charge was $15 and the charge per hour is $5. Given information: - The charge for renting roller skates is $5 per hour. - The total charge was $15. We can set up an equation to represent the relationship between the number of hours and the total charge. Let x be the number of hours the customer rented the roller skates. Total charge = Charge per hour × Number of hours $15 = $5 × x Dividing both sides by $5, we get: x = $15 / $5 x = 3 hours Therefore, the customer rented the roller skates for 3 hours. ### 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?
Claude-3 Sonnet:
To solve this problem, we need to find the number of tomatoes in each box. Given information: - Marie grew 108 tomatoes in total. - She packed the tomatoes into 12 boxes. - Each box contained the same number of tomatoes. To find the number of tomatoes in each box, we need to divide the total number of tomatoes by the number of boxes. Total number of tomatoes = 108 Number of boxes = 12 Number of tomatoes in each box = Total number of tomatoes / Number of boxes Number of tomatoes in each box = 108 / 12 Number of tomatoes in each box = 9 Therefore, each box contained 9 tomatoes. ### 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?
Claude-3 Sonnet:
To solve this problem, we need to find the number of children by dividing the total number of beach ball throws by the number of throws per child. Given information: - Each child gets to throw the beach ball 7 times in a row. - There have been 21 beach ball throws in total. Step 1: Find the number of children by dividing the total number of beach ball throws by the number of throws per child. Number of children = Total number of beach ball throws / Number of throws per child Number of children = 21 / 7 Step 2: Perform the division. Number of children = 21 / 7 Number of children = 3 Therefore, there are 3 children in the group. ### 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?
Claude-3 Sonnet:
To solve this problem, we need to find the number of pearls generated by the magical clam in 1 day. Given information: - The magical clam generates 4 pearls every day. Step 1: Find the number of pearls generated in 1 day. Number of pearls generated in 1 day = 4 pearls Therefore, after 1 day, the mermaid will have 4 pearls. ### 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?
Claude-3 Sonnet:
To solve this problem, we need to find the number of guests who attended the party based on the given information. Given information: - There are 4 liters of juice available at the party. - Each guest had an equal share of the juice. - Each guest got 1 liter of juice. Since each guest got 1 liter of juice, and the total amount of juice available was 4 liters, we can divide the total amount of juice by the amount each guest received to find the number of guests. Number of guests = Total amount of juice / Amount of juice per guest Number of guests = 4 liters / 1 liter Number of guests = 4 Therefore, 4 guests attended the party. ### 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?
Claude-3 Sonnet:
To solve this problem, we need to find the number of boxes by dividing the total number of oranges by the number of oranges in each box. Given information: - There are 40 oranges in total. - Each box contains 5 oranges. Step 1: Divide the total number of oranges by the number of oranges in each box. Number of boxes = Total number of oranges / Number of oranges in each box Number of boxes = 40 / 5 Number of boxes = 8 Therefore, there are 8 boxes containing the 40 oranges. ### 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?
Claude-3 Sonnet:
To solve this problem, we need to find the number of sections in the jungle gym by dividing the total number of children allowed by the number of children allowed per section. Given information: - The total number of children allowed on the jungle gym at one time is 77. - Each section allows for 7 children to play at once. Step 1: Divide the total number of children allowed by the number of children allowed per section. Number of sections = Total number of children allowed / Number of children allowed per section Number of sections = 77 / 7 Step 2: Perform the division. Number of sections = 77 / 7 Number of sections = 11 Therefore, 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?
Claude-3 Sonnet:
To solve this problem, we need to find the number of bears that made the total number of footprints found by the rangers. Given information: - There are 12 bear footprints found in the national park. - Each bear has a total of 6 footprints. To find the number of bears, we need to divide the total number of footprints by the number of footprints per bear. Number of bears = Total number of footprints / Number of footprints per bear Number of bears = 12 footprints / 6 footprints per bear Number of bears = 2 bears Therefore, 2 bears passed through the national 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?
Claude-3 Sonnet:
To solve this problem, we need to find the number of pairs of socks Lisa has. Given information: - Lisa has a total of 24 socks. - All the socks are paired. - Each pair contains 2 socks. Since each pair contains 2 socks, we can divide the total number of socks by 2 to find the number of pairs. Number of pairs of socks = Total number of socks / Number of socks in each pair Number of pairs of socks = 24 / 2 Number of pairs of socks = 12 Therefore, Lisa has 12 pairs of socks. ### 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?
Claude-3 Sonnet:
To solve this problem, we need to find the number of different flavors of toothpaste on the shelf. Given information: - There are 56 tubes of toothpaste on the shelf. - There are 7 tubes of toothpaste for each different flavor. We can divide the total number of tubes by the number of tubes for each flavor to find the number of different flavors. Number of different flavors = Total number of tubes / Number of tubes per flavor Number of different flavors = 56 / 7 Number of different flavors = 8 Therefore, there are 8 different flavors of toothpaste on the shelf. ### 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?
Claude-3 Sonnet:
To solve this problem, we need to find out how many photo rolls are required to hold 60 pictures, given that each roll can hold up to 5 pictures. Given information: - The photographer took 60 pictures. - Each photo roll can hold up to 5 pictures. Step 1: Divide the total number of pictures by the maximum capacity of each photo roll. Number of photo rolls required = Total number of pictures / Maximum capacity of each photo roll Number of photo rolls required = 60 / 5 Number of photo rolls required = 12 Since we cannot have a fractional part of a photo roll, we need to round up the result to the nearest whole number. Step 2: Round up the result to the nearest whole number. Number of photo rolls required = 12 (rounded up from 12) Therefore, the photographer used 12 photo rolls to store all 60 pictures. ### 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?
Claude-3 Sonnet:
To solve this problem, we need to find out how many groups of 9 dolphins can be formed from the total of 90 dolphins. Given information: - There are 90 dolphins in the area. - Each pod consists of 9 dolphins. Step 1: Divide the total number of dolphins by the number of dolphins in each pod. Number of pods = Total number of dolphins / Number of dolphins in each pod Number of pods = 90 / 9 Number of pods = 10 Therefore, there are 10 pods in the area, with each pod consisting of 9 dolphins. ### 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?
Claude-3 Sonnet:
To solve this problem, we need to find the relationship between the total number of hours required to clean the coral garden and the number of mermaids working. Given information: - It takes 18 hours for a group of mermaids to clean the coral garden. - Each mermaid worked for 9 hours. We can set up an equation to represent the total number of hours worked by the group of mermaids. Let x be the number of mermaids in the group. Total number of hours worked by the group = Number of mermaids × Number of hours each mermaid worked 18 = x × 9 Dividing both sides by 9, we get: 18 / 9 = x x = 2 Therefore, 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?
Claude-3 Sonnet:
To solve this problem, we need to use the given information that the father sets a limit of 3 hours per day for his son's TV viewing time. Given information: - The father sets a limit of 3 hours per day for his son's TV viewing time. Therefore, the number of hours the son will get to watch TV in one day is 3 hours. ### 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?
Claude-3 Sonnet:
To solve this problem, we need to find the number of segments that make up the total length of the slide. Given information: - The length of the slide is 24 feet. - One segment of the slide is equal to 12 feet. To find the number of segments, we need to divide the total length of the slide by the length of one segment. Number of segments = Total length of the slide / Length of one segment Number of segments = 24 feet / 12 feet Number of segments = 2 Therefore, 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?
Claude-3 Sonnet:
To solve this problem, we need to find the number of strawberries in one batch, given that three batches contain a total of 6 strawberries. Given information: - Every batch of strawberries has the same number of strawberries. - Three batches contain a total of 6 strawberries. Let's assume that the number of strawberries in one batch is x. Since every batch has the same number of strawberries, and there are three batches, we can write the equation: 3x = 6 Dividing both sides by 3, we get: x = 6 / 3 x = 2 Therefore, there are 2 strawberries in one batch. ### 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?
Claude-3 Sonnet:
To solve this problem, we need to find the constant production rate of the toy car factory. Given information: - The factory produces a constant number of cars in 1 hour. - The factory produces 8 cars in 1 hour. Since the production rate is constant, we can assume that the number of cars produced in 1 hour is the production rate constant. Therefore, 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?
Claude-3 Sonnet:
To solve this problem, we need to find the number of display cases by dividing the total number of watches by the number of watches in each display case. Given information: - The watch store has 50 watches in stock. - Each display case contains 10 watches. Step 1: Divide the total number of watches by the number of watches in each display case. Number of display cases = Total number of watches / Number of watches in each display case Number of display cases = 50 / 10 Number of display cases = 5 Therefore, 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?
Claude-3 Sonnet:
To solve this problem, we need to find the current number of dolls of the specific model that Linda has. Given information: - If Linda doubles the quantity of the specific model, she would have 2 dolls of that model. Let's represent the current number of dolls of the specific model as x. If Linda doubles the quantity, she would have 2x dolls of that model. According to the given information, 2x = 2. Dividing both sides by 2, we get: x = 1 Therefore, Linda currently has 1 doll of the 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?
Claude-3 Sonnet:
To solve this problem, we need to find the number of hours it took the soldier to secure 30 rooms, given that he can secure 5 rooms every hour. Given information: - The soldier can secure 5 rooms every hour. - The soldier secured a total of 30 rooms. We can set up an equation to represent the relationship between the number of rooms secured and the number of hours worked. Let x be the number of hours the soldier worked. Number of rooms secured = Number of rooms secured per hour × Number of hours worked 30 = 5x Dividing both sides by 5, we get: x = 30 / 5 x = 6 Therefore, the soldier worked for 6 hours to secure all 30 rooms. ### 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?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of pieces in the puzzle. Given information: - If we divide the total number of pieces by 9, the result is 11. Let's represent the total number of pieces as x. We can set up an equation: x / 9 = 11 Multiplying both sides by 9, we get: x = 11 × 9 x = 99 Therefore, the total number of pieces in the puzzle is 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?
Claude-3 Sonnet:
To solve this problem, we need to find the number of blankets the company makes in a day, given that they make 35 blankets in a week. Given information: - The company can make 35 blankets in a week. - They make the same number of blankets every day. Step 1: Find the number of days in a week. Number of days in a week = 7 days Step 2: Divide the total number of blankets made in a week by the number of days in a week to find the number of blankets made per day. Number of blankets made per day = Total number of blankets made in a week / Number of days in a week Number of blankets made per day = 35 blankets / 7 days Number of blankets made per day = 5 blankets Therefore, the company makes 5 blankets in a day. ### 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?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of pencils the student has by multiplying the number of packs by the number of pencils in each pack. Given information: - The student has 2 packs of pencils. - Each pack contains 3 pencils. Step 1: Find the number of pencils in 2 packs. Number of pencils in 2 packs = Number of packs × Number of pencils per pack Number of pencils in 2 packs = 2 × 3 Number of pencils in 2 packs = 6 Therefore, the student has a total of 6 pencils. ### 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?
Claude-3 Sonnet:
To solve this problem, we need to find the quantity of juice in liters for each serving. Given information: - The fruit section has 45 liters of freshly squeezed orange juice. - The quantity of juice yields 5 servings. We can set up an equation to represent the total quantity of juice in terms of the quantity of each serving. Let x be the quantity of juice in liters for each serving. Total quantity of juice = Quantity of juice per serving × Number of servings 45 liters = x × 5 Solving for x: 45 = 5x x = 45 / 5 x = 9 Therefore, the quantity of juice in liters for each serving is 9 liters. ### Answer: 9
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?
Claude-3 Sonnet:
To solve this problem, we need to find out how many boxes of pants the store owner ordered, given that each box contains 12 pants and he has a total of 24 pants in stock. Given information: - The store owner has 24 pants in stock. - Each box of pants contains 12 pants. Step 1: Find the number of boxes needed to hold 24 pants. Number of boxes = Total number of pants / Number of pants per box Number of boxes = 24 pants / 12 pants per box Number of boxes = 2 boxes Therefore, the store owner ordered 2 boxes of pants. ### 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?
Claude-3 Sonnet:
To solve this problem, we need to find the number of bears that would have a total height of 8 feet when each bear is 8 feet tall. Given information: - Each bear stands 8 feet tall. - The total height of all bears standing together is 8 feet. Since the total height is 8 feet and each bear is 8 feet tall, we can divide the total height by the height of one bear to find the number of bears. Number of bears = Total height / Height of one bear Number of bears = 8 feet / 8 feet Number of bears = 1 Therefore, there is only one bear in the forest. ### 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?
Claude-3 Sonnet:
To solve this problem, we need to find the value of i that satisfies the given condition. Given information: - The manufacturer produces i pillows each day. - When i is divided by 11, the result is 6 pillows. We can represent this condition as an equation: i / 11 = 6 To find the value of i, we need to multiply both sides of the equation by 11: i / 11 × 11 = 6 × 11 i = 66 Therefore, the manufacturer produces 66 pillows each day. ### 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?
Claude-3 Sonnet:
To solve this problem, we need to find the number of boxes required to store 70 crayons, given that each box can hold 10 crayons. Given information: - The warehouse stores 70 crayons. - Each box can hold 10 crayons. Step 1: Find the number of boxes required by dividing the total number of crayons by the number of crayons per box. Number of boxes = Total number of crayons / Number of crayons per box Number of boxes = 70 / 10 Number of boxes = 7 Therefore, there are 7 boxes in the warehouse to store the 70 crayons. ### 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?
Claude-3 Sonnet:
To solve this problem, we need to find the duration of each verse given the total duration of the song and the number of verses. Given information: - The song lasts for 90 seconds. - The song contains 10 verses. - Each verse takes the same amount of time. Step 1: Find the total duration of all verses. Total duration of the song = Total duration of all verses 90 seconds = Total duration of all verses Step 2: Find the duration of each verse. Duration of each verse = Total duration of all verses / Number of verses Duration of each verse = 90 seconds / 10 Duration of each verse = 9 seconds Therefore, each verse lasts for 9 seconds. ### Answer: 9
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?
Claude-3 Sonnet:
To solve this problem, we need to find the number of seed trays given the total number of saplings and the number of saplings in each tray. Given information: - Each seed tray contains 8 tree saplings. - The total number of saplings is 16. We can divide the total number of saplings by the number of saplings in each tray to find the number of trays. Number of trays = Total number of saplings / Number of saplings per tray Number of trays = 16 / 8 Number of trays = 2 Therefore, there are 2 seed trays in the forest nursery. ### 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?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of bracelets in the store and then divide it by the number of bracelets made by one craftsman to find the number of craftsmen whose work is displayed. Given information: - There are 10 bracelets made by one craftsman. - Each craftsman made the same number of bracelets. - There is 1 bracelet per craftsman displayed in the showroom. Step 1: Find the total number of bracelets in the store. Total number of bracelets = Number of bracelets displayed in the showroom Total number of bracelets = 1 bracelet per craftsman Step 2: Find the number of craftsmen whose work is displayed. Number of craftsmen = Total number of bracelets / Number of bracelets made by one craftsman Number of craftsmen = 1 bracelet / 10 bracelets per craftsman Number of craftsmen = 1/10 Therefore, the work of 1/10 or 0.1 craftsmen is displayed in the showroom. ### Answer: 0.1
Expected answer: 10
Correct? No
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?
Claude-3 Sonnet:
To solve this problem, we need to find the rate at which the giraffe eats leaves per hour. Given information: - The giraffe spent 2 hours eating leaves. - The giraffe consumed 12 kilograms of leaves in this period. To find the rate of consumption per hour, we need to divide the total amount of leaves consumed by the number of hours. Rate of consumption per hour = Total amount of leaves consumed / Number of hours Rate of consumption per hour = 12 kilograms / 2 hours Rate of consumption per hour = 6 kilograms per hour Therefore, the giraffe eats 6 kilograms of leaves 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?
Claude-3 Sonnet:
To solve this problem, we need to find out how many groups of 9 beads can be formed from the total of 36 beads. Given information: - The jewelry maker has a total of 36 beads. - Each bracelet requires 9 beads. Step 1: Divide the total number of beads by the number of beads required for each bracelet. Number of bracelets = Total number of beads / Number of beads per bracelet Number of bracelets = 36 / 9 Number of bracelets = 4 Therefore, the jewelry maker can create 4 bracelets with the 36 beads available. ### 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?
Claude-3 Sonnet:
To solve this problem, we need to find the number of play sections by dividing the total number of monkeys by the number of monkeys on each play section. Given information: - Each play section has 7 monkeys playing on it. - There are 35 monkeys in total. Step 1: Divide the total number of monkeys by the number of monkeys on each play section. Number of play sections = Total number of monkeys / Number of monkeys on each play section Number of play sections = 35 / 7 Step 2: Calculate the result. Number of play sections = 35 / 7 Number of play sections = 5 Therefore, there are 5 play sections in the jungle gym. ### 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?
Claude-3 Sonnet:
To solve this problem, we need to find the number of hours the person watches per day. Given information: - The TV series is 56 hours long. - The person finishes watching the series in 7 days. - The person watches the same amount of hours each day. Step 1: Find the total number of hours the person needs to watch the series. Total hours to watch the series = 56 hours Step 2: Find the number of hours the person watches per day. Number of hours watched per day = Total hours to watch the series / Number of days Number of hours watched per day = 56 hours / 7 days Number of hours watched per day = 8 hours Therefore, the person watches 8 hours of the TV series per day. ### 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?
Claude-3 Sonnet:
To solve this problem, we need to find the number of door panels given the total weight and the weight of each door panel. Given information: - Each door panel weighs 5 kg. - The total weight of all door panels is 45 kg. Step 1: Find the relationship between the total weight and the weight of each door panel. Total weight = Number of door panels × Weight of each door panel 45 kg = Number of door panels × 5 kg Step 2: Divide both sides of the equation by the weight of each door panel to find the number of door panels. Number of door panels = Total weight / Weight of each door panel Number of door panels = 45 kg / 5 kg Number of door panels = 9 Therefore, 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?
Claude-3 Sonnet:
To solve this problem, we need to find the weight of one cloud given that the total weight of all 9 clouds is 9. Given information: - There are 9 clouds in the sky. - Each cloud has the exact same weight (w). - The total weight of all 9 clouds is 9. Since all the clouds have the same weight, we can represent the total weight as the sum of the weights of individual clouds. Total weight = Weight of one cloud × Number of clouds 9 = w × 9 Dividing both sides by 9, we get: w = 9 / 9 w = 1 Therefore, the weight of one cloud is 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?
Claude-3 Sonnet:
To solve this problem, we need to find the original speed of the train when it is not halved. Given information: - When the speed is halved, the train goes at 3 km/hr. Let's represent the original speed as x km/hr. Since the given speed (3 km/hr) is half of the original speed, we can write the equation: x/2 = 3 Multiplying both sides by 2, we get: x = 3 × 2 x = 6 km/hr Therefore, 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?
Claude-3 Sonnet:
To solve this problem, we need to find the number of pairs of toy cars James has, which will give us the number of types of toy cars he has. Given information: - James has a total of 12 toy cars. - Each type of toy car comes in pairs. Since each type of toy car comes in pairs, we can divide the total number of toy cars by 2 to find the number of pairs (or types) of toy cars. Number of pairs (or types) of toy cars = Total number of toy cars / 2 Number of pairs (or types) of toy cars = 12 / 2 Number of pairs (or types) of toy cars = 6 Therefore, James has 6 types of toy cars in his collection. ### 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?
Claude-3 Sonnet:
To solve this problem, we need to find the number of pairs of boats the sailor owns. Given information: - There are 8 boats sailing in total when all the boats are out in the water. - The boats come in pairs. Since the boats come in pairs, we can divide the total number of boats by 2 to find the number of pairs. Number of pairs of boats = Total number of boats / 2 Number of pairs of boats = 8 / 2 Number of pairs of boats = 4 Therefore, the sailor owns 4 pairs of boats. ### 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?
Claude-3 Sonnet:
To solve this problem, we need to find out how many baskets are required to pack the total weight of tomatoes harvested. Given information: - The farmer harvested 6 kilograms of tomatoes. - Each basket can carry 2 kilograms of tomatoes. Step 1: Find the number of baskets required by dividing the total weight of tomatoes by the weight capacity of each basket. Number of baskets required = Total weight of tomatoes / Weight capacity of each basket Number of baskets required = 6 kilograms / 2 kilograms per basket Number of baskets required = 3 baskets Therefore, the farmer needs 3 baskets to pack all the 6 kilograms of tomatoes. ### 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?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of tickets distributed by the police officer. Given information: - There are 6 cars parked in the no-parking zone. - Every car parked in the no-parking zone receives a ticket. - Each car is given one ticket. Since each car receives one ticket, and there are 6 cars parked in the no-parking zone, the total number of tickets distributed by the police officer is equal to the number of cars. Therefore, the police officer distributes 6 tickets. ### 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?
Claude-3 Sonnet:
To solve this problem, we need to find the number of sectors that fit between the two points on the moon. Given information: - The distance between the two points on the moon is 96 miles. - Each small sector of the moon covers 8 miles. Step 1: Find the number of sectors that fit in the given distance. Number of sectors = Total distance / Distance covered by each sector Number of sectors = 96 miles / 8 miles per sector Number of sectors = 12 sectors Therefore, 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?
Claude-3 Sonnet:
To solve this problem, we need to find the number of bunches of grapes picked from each plant. Given information: - The vineyard worker picked 24 bunches of grapes in total. - The worker picked grapes from 4 plants. We can assume that the worker picked an equal number of bunches from each plant. To find the number of bunches picked from each plant, we need to divide the total number of bunches by the number of plants. Number of bunches picked from each plant = Total number of bunches / Number of plants Number of bunches picked from each plant = 24 / 4 Number of bunches picked from each plant = 6 Therefore, the vineyard worker picked 6 bunches of grapes from each plant. ### 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?
Claude-3 Sonnet:
To solve this problem, we need to find the number of windows on the building by dividing the total window space by the area of each window. Given information: - The building has 120 square feet of window space. - Each window takes up 10 square feet. Step 1: Divide the total window space by the area of each window. Number of windows = Total window space / Area of each window Number of windows = 120 square feet / 10 square feet per window Number of windows = 12 windows Therefore, 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?
Claude-3 Sonnet:
To solve this problem, we need to find the number of groups of 5 beach balls that can be formed from the total of 55 beach balls. Given information: - There are 55 beach balls available. - Each color of beach ball is present in groups of 5. Step 1: Divide the total number of beach balls by the number of beach balls in each group. Number of groups = Total number of beach balls / Number of beach balls in each group Number of groups = 55 / 5 Number of groups = 11 Step 2: Since each group represents a different color, the number of groups is equal to the number of different colors of beach balls. Therefore, there are 11 different colors of beach balls at the beach party. ### 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?
Claude-3 Sonnet:
To solve this problem, we need to find the number of doubloons given the total weight and the weight of each doubloon. Given information: - Each doubloon weighs 9 grams. - The total weight of all the doubloons is 90 grams. Step 1: Find the number of doubloons by dividing the total weight by the weight of each doubloon. Number of doubloons = Total weight / Weight of each doubloon Number of doubloons = 90 grams / 9 grams Number of doubloons = 10 Therefore, the pirate has 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?
Claude-3 Sonnet:
To solve this problem, we need to divide the total number of erasers by the number of boxes. Given information: - The student has a total of 18 erasers. - The erasers need to be put into 6 equally-sized boxes. Step 1: Divide the total number of erasers by the number of boxes. Number of erasers per box = Total number of erasers / Number of boxes Number of erasers per box = 18 / 6 Number of erasers per box = 3 Therefore, each box will 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?
Claude-3 Sonnet:
To solve this problem, we need to find out how many groups of 12 beads can be made from the total of 36 beads. Given information: - The beader has 36 beads. - Each bracelet requires 12 beads. Step 1: Divide the total number of beads by the number of beads required for one bracelet. Number of bracelets = Total number of beads / Number of beads per bracelet Number of bracelets = 36 beads / 12 beads per bracelet Number of bracelets = 3 bracelets Therefore, the beader can make 3 bracelets with the 36 beads available. ### 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?
Claude-3 Sonnet:
To solve this problem, we need to find the number of gears in the new model of the bicycle by dividing the total number of bicycles by the number of bicycles that can be sold per gear. Given information: - Mountain Peak has 63 bicycles ready for sale. - Each gear of the new model can sell exactly 7 bicycles. Let's represent the number of gears as x. Since each gear can sell 7 bicycles, the total number of bicycles that can be sold is 7x. We know that the total number of bicycles ready for sale is 63. Therefore, we can set up the equation: 7x = 63 Dividing both sides by 7, we get: x = 63 / 7 x = 9 Therefore, there are 9 gears in the new model of the bicycle. ### 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?
Claude-3 Sonnet:
To solve this problem, we need to find out how many houses can be outfitted with the available 80 windows, given that each house requires 8 windows. Given information: - The contractor has 80 windows. - Each house requires 8 windows. Step 1: Find the number of houses that can be outfitted by dividing the total number of windows by the number of windows required per house. Number of houses = Total number of windows / Number of windows per house Number of houses = 80 windows / 8 windows per house Number of houses = 10 houses Therefore, 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?
Claude-3 Sonnet:
To solve this problem, we need to find the number of days it took for the compass maker to sell 84 compasses, given that he sells 12 compasses each day. Given information: - The compass maker sells 12 compasses each day. - The total number of compasses sold is 84. We can set up an equation to represent the situation: Number of compasses sold per day × Number of days = Total number of compasses sold 12 × Number of days = 84 To find the number of days, we need to divide both sides of the equation by 12: Number of days = 84 / 12 Number of days = 7 Therefore, it took the compass maker 7 days to sell 84 compasses. ### 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?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of computers in the computer lab by multiplying the number of computers per row by the total number of rows. Given information: - There are 3 computers per row. - There are 7 rows in total. Step 1: Find the number of computers in one row. Number of computers in one row = 3 Step 2: Find the total number of computers in the computer lab by multiplying the number of computers per row by the total number of rows. Total number of computers = Number of computers per row × Total number of rows Total number of computers = 3 × 7 Total number of computers = 21 Therefore, there are 21 computers in the computer lab. ### 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?
Claude-3 Sonnet:
To solve this problem, we need to find out how many large walls the painter can paint with the available 4 cups of yellow paint. Given information: - The painter has 4 cups of yellow paint. - The painter uses 1 cup of paint per large wall. To find the number of large walls the painter can paint, we need to divide the total amount of paint by the amount of paint required for one large wall. Number of large walls that can be painted = Total amount of paint / Amount of paint required for one large wall Number of large walls that can be painted = 4 cups / 1 cup per large wall Number of large walls that can be painted = 4 large walls Therefore, the painter can paint 4 large walls with the available 4 cups of yellow paint. ### 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?
Claude-3 Sonnet:
To solve this problem, we need to find the average number of lemons produced by each tree. Given information: - There are 6 trees in the lemon farm. - The total number of lemons produced by all 6 trees is 60. To find the average number of lemons produced by each tree, we need to divide the total number of lemons by the number of trees. Average number of lemons produced by each tree = Total number of lemons / Number of trees Average number of lemons produced by each tree = 60 / 6 Average number of lemons produced by each tree = 10 Therefore, on average, each tree 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?
Claude-3 Sonnet:
To solve this problem, we need to understand the relationship between the number of books and the number of stories in the series. Given information: - There are 9 books in the series. - Each book corresponds to 1 complete story. Since each book corresponds to 1 complete story, the number of stories in the series is equal to the number of books. Therefore, the number of stories in the series is 9. ### 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?
Claude-3 Sonnet:
To solve this problem, we need to find out how many shirts can be made with the available fabric. Given information: - The clothing factory has 6 yards of fabric. - Each shirt requires 3 yards of fabric. Step 1: Find the number of shirts that can be made with the available fabric. Number of shirts = Total fabric available / Fabric required per shirt Number of shirts = 6 yards / 3 yards per shirt Number of shirts = 2 shirts Therefore, the clothing factory can make 2 shirts with the available 6 yards of fabric. ### 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?
Claude-3 Sonnet:
To solve this problem, we need to find the number of cars by dividing the total number of compartments by the number of compartments in each car. Given information: - There are 24 train compartments in the train. - Each train car consists of 8 compartments. Step 1: Divide the total number of compartments by the number of compartments in each car. Number of cars = Total number of compartments / Number of compartments in each car Number of cars = 24 / 8 Number of cars = 3 Therefore, 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?
Claude-3 Sonnet:
To solve this problem, we need to find out how many racks are required to hold the 32 pairs of pants, given that each rack can hold 8 pairs. Given information: - The factory is currently working on 32 pairs of pants. - Each rack can hold 8 pairs of pants. Step 1: Find the number of racks required by dividing the total number of pants by the capacity of each rack. Number of racks required = Total number of pants / Capacity of each rack Number of racks required = 32 pairs / 8 pairs per rack Number of racks required = 4 racks Therefore, 4 racks are being used to hold all the 32 pairs of 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?
Claude-3 Sonnet:
To solve this problem, we need to find the number of square panes that can be made with 36 square inches of glass, given that each square pane has 9 square inches of glass. Given information: - Each square pane has 9 square inches of glass. - The total square inches of glass used for the large window is 36. Step 1: Find the number of square panes that can be made with 36 square inches of glass. Number of square panes = Total square inches of glass / Square inches of glass per pane Number of square panes = 36 square inches / 9 square inches per pane Number of square panes = 4 panes Therefore, the number of square panes in the window is 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?
Claude-3 Sonnet:
To solve this problem, we need to find out how many times 12 balls of yarn can go into 72 balls of yarn. Given information: - Granny uses 12 balls of yarn for each blanket. - Granny has 72 balls of yarn. Step 1: Divide the total number of balls of yarn by the number of balls needed for one blanket. Number of blankets Granny can knit = Total balls of yarn / Balls of yarn per blanket Number of blankets Granny can knit = 72 / 12 Number of blankets Granny can knit = 6 Therefore, with 72 balls of yarn, Granny can knit 6 blankets for her grandchildren. ### 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?
Claude-3 Sonnet:
To solve this problem, we need to work backward from the given information. Given information: - On the third day, the dairy farm produced 33 milk packets. - Each day, the dairy farm produces 3 times the amount of milk packets it produced on the previous day. Let's represent the number of milk packets produced on the second day as x. Step 1: Find the relationship between the number of milk packets produced on the second and third days. Number of milk packets produced on the third day = 3 × Number of milk packets produced on the second day 33 = 3x Step 2: Solve for x to find the number of milk packets produced on the second day. 3x = 33 x = 33/3 x = 11 Therefore, 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?
Claude-3 Sonnet:
To solve this problem, we need to find the relationship between the number of times the helicopter has been used and the number of hours of maintenance it has received. Given information: - The helicopter company ensures that each helicopter gets 10 hours of maintenance for every time it's used. - The particular helicopter has had 70 hours of maintenance. Let's represent the number of times the helicopter has been used as x. According to the policy, the number of hours of maintenance is directly proportional to the number of times the helicopter has been used. Number of hours of maintenance = 10 × Number of times the helicopter has been used 70 = 10x Dividing both sides by 10, we get: x = 70 / 10 x = 7 Therefore, the particular 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?
Claude-3 Sonnet:
To solve this problem, we need to find the number of habitats that can accommodate the given number of elephants, with each habitat having 2 elephants. Given information: - There are 6 elephants in the zoo. - Each habitat has 2 elephants. Step 1: Find the number of habitats needed by dividing the total number of elephants by the number of elephants per habitat. Number of habitats = Total number of elephants / Number of elephants per habitat Number of habitats = 6 elephants / 2 elephants per habitat Number of habitats = 3 habitats Therefore, there are 3 habitats in the zoo to accommodate the 6 elephants, with each habitat having 2 elephants. ### 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?
Claude-3 Sonnet:
To solve this problem, we need to set up an equation using the given information and then solve for the unknown variable 'p'. Given information: - A dolphin can jump 5 times in a single minute. - A dolphin can jump 60 times in 'p' minutes. We can represent the relationship between the number of jumps and the number of minutes using a linear equation: Number of jumps = Rate of jumps per minute × Number of minutes Substituting the given values, we get: 60 = 5p To find the value of 'p', we need to divide both sides of the equation by 5: 60/5 = 5p/5 p = 12 Therefore, the dolphin jumped for 12 minutes to make 60 jumps. ### 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?
Claude-3 Sonnet:
To solve this problem, we need to find the number of groups of trees in the forest, given that each group has 7 trees and there are 63 trees in total. Given information: - Each group has 7 trees. - There are 63 trees in total. Step 1: Find the number of groups by dividing the total number of trees by the number of trees in each group. Number of groups = Total number of trees / Number of trees in each group Number of groups = 63 / 7 Step 2: Perform the division. Number of groups = 63 / 7 Number of groups = 9 Therefore, 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?
Claude-3 Sonnet:
To solve this problem, we need to find the number of styles of hats the shop has created. Given information: - The hat shop has created 96 new hats. - Each style has exactly 12 hats of the same kind. We can set up an equation to represent the total number of hats (96) as the product of the number of styles and the number of hats per style (12). Let x be the number of styles. Total number of hats = Number of styles × Number of hats per style 96 = x × 12 Dividing both sides by 12, we get: 96 / 12 = x x = 8 Therefore, 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?
Claude-3 Sonnet:
To solve this problem, we need to find the number of periods of continuous rain that can fit into the total number of rainy days. Given information: - It rained for a total of 24 days in the month. - Each period of continuous rain lasted for 8 days. Step 1: Find the number of periods of continuous rain that can fit into the total number of rainy days. Number of periods of continuous rain = Total number of rainy days / Duration of each period Number of periods of continuous rain = 24 days / 8 days Number of periods of continuous rain = 3 periods Therefore, there were 3 periods of rain in that month. ### 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?
Claude-3 Sonnet:
To solve this problem, we need to find the number of cycles required to produce 48 bottles, given that 6 bottles are manufactured in a single cycle. Given information: - 6 bottles are manufactured in a single cycle. - The factory has manufactured 48 bottles today. Step 1: Divide the total number of bottles manufactured by the number of bottles produced in a single cycle. Number of cycles = Total number of bottles manufactured / Number of bottles produced in a single cycle Number of cycles = 48 bottles / 6 bottles per cycle Number of cycles = 8 cycles Therefore, 8 cycles of production have been performed in the factory 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?
Claude-3 Sonnet:
To solve this problem, we need to find out how many verses will be in each song if the total number of verses (110) is divided evenly among the 10 songs. Given information: - The singer wants to sing 110 verses in total. - The verses will be divided evenly among 10 songs. Step 1: Divide the total number of verses by the number of songs. Number of verses per song = Total number of verses / Number of songs Number of verses per song = 110 / 10 Number of verses per song = 11 Therefore, if the 110 verses are divided evenly among 10 songs, each song will have 11 verses. ### 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?
Claude-3 Sonnet:
To solve this problem, we need to find the number of photographers that can use the available cameras, given that each photographer gets 2 cameras. Given information: - There are 16 cameras in the photography studio. - Each photographer gets 2 cameras. We can set up an equation to represent the relationship between the number of photographers and the number of cameras. Let x be the number of photographers. Since each photographer gets 2 cameras, the total number of cameras needed is 2x. We know that the total number of cameras available is 16. Therefore, we can write the equation: 2x = 16 Solving for x: 2x = 16 x = 16 / 2 x = 8 Therefore, there are 8 photographers in the studio. ### 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?
Claude-3 Sonnet:
To solve this problem, we need to find how many groups of 9 penguins can be formed from the total of 99 penguins. Given information: - There are 99 penguins in total. - Each area should have 9 penguins. Step 1: Divide the total number of penguins by the number of penguins per area. Number of areas needed = Total number of penguins / Number of penguins per area Number of areas needed = 99 / 9 Number of areas needed = 11 Therefore, 11 areas are needed to separate all the 99 penguins evenly, with 9 penguins in each area. ### 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?
Claude-3 Sonnet:
To solve this problem, we need to find out how many pieces of music the student can practice with the given time of 9 hours. Given information: - Each piece of music takes 3 hours to practice thoroughly. - The student has 9 hours for practice. Step 1: Find the number of pieces the student can practice with 9 hours. Number of pieces = Total practice time / Time required for one piece Number of pieces = 9 hours / 3 hours per piece Number of pieces = 3 pieces Therefore, with 9 hours of practice time, the student can practice 3 pieces of music thoroughly. ### 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?
Claude-3 Sonnet:
To solve this problem, we need to find the relationship between the number of pillows and the amount of fabric used. Given information: - 3 pillows can be stitched from a certain amount of fabric. - If the fabric used is divided by 6, it results in the number of pillows that can be made from it. Let's assume that the amount of fabric used to make 3 pillows is x. According to the second condition, if we divide x by 6, we get the number of pillows that can be made from it. x / 6 = 3 (since 3 pillows can be made from x amount of fabric) Multiplying both sides by 6, we get: x = 3 × 6 x = 18 Therefore, 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?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of pens in all the packs. Given information: - Each pack contains 9 pens. - There are 9 packs in total. Step 1: Find the number of pens in one pack. Number of pens in one pack = 9 pens Step 2: Find the total number of pens in all the packs. Total number of pens = Number of pens in one pack × Number of packs Total number of pens = 9 pens × 9 packs Total number of pens = 81 pens Therefore, there are 81 pens in the store. ### 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?
Claude-3 Sonnet:
To solve this problem, we need to find how many times the serving size (1/8 pound) goes into the total amount of meat (4 pounds). Given information: - The tiger has 4 pounds of meat for his meal. - One serving size is 1/8 pound. Step 1: Convert the total amount of meat to the same unit as the serving size. 4 pounds = 4 × 8 × 1/8 pound = 32/8 pound Step 2: Divide the total amount of meat by the serving size to find the number of servings. Number of servings = Total amount of meat / Serving size Number of servings = 32/8 / (1/8) Number of servings = 32 Therefore, there are 32 servings in the tiger's meal. ### 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?
Claude-3 Sonnet:
To solve this problem, we need to find out how many meters of string are required for tying one balloon, and then divide the total length of the string by the length required for one balloon. Given information: - The total length of the string is 5 meters. - Each balloon requires 1 meter of string to be tied. Step 1: Find the length of string required for tying one balloon. Length of string required for one balloon = 1 meter Step 2: Find the number of balloons that can be tied with the given string. Number of balloons = Total length of the string / Length of string required for one balloon Number of balloons = 5 meters / 1 meter Number of balloons = 5 Therefore, 5 balloons can be tied with the 5-meter-long string. ### 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?
Claude-3 Sonnet:
To solve this problem, we need to find the number of sections by dividing the total number of parts by the number of parts in each section. Given information: - The plane split into 48 parts in total. - Each plane section accounts for 8 parts. Step 1: Divide the total number of parts by the number of parts in each section. Number of sections = Total number of parts / Number of parts in each section Number of sections = 48 / 8 Number of sections = 6 Therefore, the plane originally had 6 sections before the crash. ### 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?
Claude-3 Sonnet:
To solve this problem, we need to find the number of friends the farmer has based on the given information. Given information: - The farmer collects 40 strawberries. - Each friend receives 4 strawberries. Step 1: Find the total number of strawberries divided among the friends. Total strawberries divided = 40 strawberries Step 2: Find the number of friends by dividing the total strawberries by the number of strawberries each friend receives. Number of friends = Total strawberries divided / Strawberries per friend Number of friends = 40 strawberries / 4 strawberries per friend Number of friends = 10 friends Therefore, the farmer has 10 friends. ### 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?
Claude-3 Sonnet:
To solve this problem, we need to find the number of cups of hot chocolate sold given the total earnings and the price per cup. Given information: - The price of one cup of hot chocolate is $10. - The total earnings for the day were $70. We can set up an equation to represent the relationship between the number of cups sold (x) and the total earnings: Total earnings = Number of cups sold × Price per cup $70 = x × $10 To find the number of cups sold (x), we need to divide both sides of the equation by $10: x = $70 / $10 x = 7 Therefore, the hot chocolate booth sold 7 cups of hot chocolate on that day. ### 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?
Claude-3 Sonnet:
To solve this problem, we need to find the cost of each ring given the total amount received from selling 5 rings. Given information: - The jeweler sold 5 rings. - The total amount received from selling the 5 rings is $35. Let's assume that the cost of each ring is x dollars. Since the jeweler sold 5 rings, we can set up an equation: 5x = 35 (where 5x represents the total amount received from selling 5 rings) To find the value of x, we need to divide both sides of the equation by 5: x = 35 / 5 x = 7 Therefore, each ring costs $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?
Claude-3 Sonnet:
To solve this problem, we need to find out how many groups of 10 lions can be formed from the total of 60 lions. Given information: - There are 60 lions in the national park. - Each region should have exactly 10 lions. Step 1: Divide the total number of lions by the number of lions in each region. Number of regions = Total number of lions / Number of lions in each region Number of regions = 60 / 10 Number of regions = 6 Therefore, the national park authority can distribute the 60 lions into 6 different regions, with each region having exactly 10 lions. ### 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?
Claude-3 Sonnet:
To solve this problem, we need to set up an equation using the given information and then solve for the original price, d. Given information: - After the discount, each jacket costs $6. - The discounted price is 1/5th of the original price. Let's represent the original price as d. Step 1: Set up the equation. Discounted price = 1/5 × Original price 6 = (1/5) × d Step 2: Solve for d. Multiply both sides by 5 to isolate d. 6 × 5 = (1/5) × d × 5 30 = d Therefore, the original price of the jacket before the discount was $30. ### 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?
Claude-3 Sonnet:
To solve this problem, we need to find the number of giraffes that would consume a total of 28 pounds of food per day, given that each giraffe eats 7 pounds of food per day. Given information: - Each giraffe eats 7 pounds of food per day. - The total amount of food consumed by the giraffes is 28 pounds today. Let's represent the number of giraffes as x. Since each giraffe eats 7 pounds of food per day, the total amount of food consumed by x giraffes would be 7x pounds. We know that the total amount of food consumed is 28 pounds, so we can set up an equation: 7x = 28 To find the value of x, we divide both sides of the equation by 7: x = 28 / 7 x = 4 Therefore, 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?
Claude-3 Sonnet:
To solve this problem, we need to find the number of zones by dividing the total number of starfish by the number of starfish in each zone. Given information: - There are 30 starfish in total. - Each zone contains 6 starfish. Step 1: Divide the total number of starfish by the number of starfish in each zone. Number of zones = Total number of starfish / Number of starfish in each zone Number of zones = 30 / 6 Number of zones = 5 Therefore, there are 5 zones in total in the shallow pool. ### 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?
Claude-3 Sonnet:
To solve this problem, we need to find the number of hours of oxygen the tank provides each day. Given information: - The astronaut has 88 hours of oxygen in the tank. - The tank can be used for 8 days. Step 1: Find the number of hours of oxygen the tank provides each day. Total hours of oxygen in the tank / Number of days the tank can be used = Hours of oxygen per day 88 hours / 8 days = 11 hours per day Therefore, the tank provides 11 hours of oxygen each day. ### Answer: 11
Expected answer: 11
Correct? Yes