Common Core Standard 3.OA.D.8
This standard covers the following:
Solve two-step word problems using the four operations. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding.
Problem: A chocolate factory initially had 33 chocolate bars. However, 6 of them were given away as samples to customers. Then, 3 of them were used for a quality control testing. How many chocolate bars are left in the factory?
Claude-3 Opus:
Let's solve this problem step by step: 1. The factory initially had 33 chocolate bars. 2. 6 chocolate bars were given away as samples to customers. * Remaining chocolate bars after giving away samples = 33 - 6 = 27 3. 3 chocolate bars were used for quality control testing. * Remaining chocolate bars after quality control testing = 27 - 3 = 24 Therefore, the number of chocolate bars left in the factory is 24. ### Answer: 24
Expected answer: 24
Correct? Yes
Problem: After performing inventory, the chocolate factory decided to match the number of remaining chocolate bars by producing new ones. How many chocolate bars are there at the factory now, after adding the new bars?
Claude-3 Opus:
Great! Let's continue from where we left off and solve the new question. Given: - The factory had 24 chocolate bars remaining after giving away samples and conducting quality control testing. - The factory decided to produce new chocolate bars to match the number of remaining bars. Step 1: Calculate the number of new chocolate bars produced. New chocolate bars produced = Remaining chocolate bars = 24 Step 2: Calculate the total number of chocolate bars at the factory after adding the new bars. Total chocolate bars = Remaining chocolate bars + New chocolate bars produced Total chocolate bars = 24 + 24 = 48 Therefore, after producing new chocolate bars to match the number of remaining bars, the factory now has a total of 48 chocolate bars. ### Answer: 48
Expected answer: 48
Correct? Yes
Problem: In a similar scenario, instead of starting with 33 chocolate bars, the factory had only 17 bars initially. After giving away 6 samples and using 3 bars for quality control tests, how many chocolate bars remain in the factory?
Claude-3 Opus:
Great! Let's solve this problem using the same approach as before. Given: - The factory initially had 17 chocolate bars. - 6 chocolate bars were given away as samples to customers. - 3 chocolate bars were used for quality control testing. Step 1: Calculate the number of chocolate bars remaining after giving away samples. Remaining chocolate bars after giving away samples = Initial number of bars - Number of samples given away Remaining chocolate bars after giving away samples = 17 - 6 = 11 Step 2: Calculate the number of chocolate bars remaining after quality control testing. Remaining chocolate bars after quality control testing = Remaining bars after giving away samples - Number of bars used for testing Remaining chocolate bars after quality control testing = 11 - 3 = 8 Therefore, the number of chocolate bars left in the factory is 8. ### Answer: 8
Expected answer: 8
Correct? Yes
Problem: Deckmaster Tim has been given 84 unique trading cards. After a generous friend gave him a package of 7 new cards, he added them to his collection. How many unique trading cards does Deckmaster Tim have now?
Claude-3 Opus:
Let's solve this problem step by step: 1. Understand the given information: * Deckmaster Tim initially had 84 unique trading cards. * His friend gave him a package of 7 new cards. * He added the new cards to his collection. 2. To find the total number of unique trading cards Deckmaster Tim has now, we need to add the number of cards he had initially and the number of new cards he received. 3. Total unique trading cards = Initial cards + New cards * Total unique trading cards = 84 + 7 * Total unique trading cards = 91 Therefore, Deckmaster Tim now has 91 unique trading cards in his collection. ### Answer: 91
Expected answer: 91
Correct? Yes
Problem: Deckmaster Tim initially had 11 unique trading cards, instead of 84. If he were to add the same package of 7 new cards to his collection, how many unique trading cards would Deckmaster Tim have now?
Claude-3 Opus:
Let's solve this problem step by step: 1. Understand the updated information: * Deckmaster Tim initially had 11 unique trading cards (instead of 84). * His friend gave him a package of 7 new cards. * He added the new cards to his collection. 2. To find the total number of unique trading cards Deckmaster Tim has now, we need to add the number of cards he had initially and the number of new cards he received. 3. Total unique trading cards = Initial cards + New cards * Total unique trading cards = 11 + 7 * Total unique trading cards = 18 Therefore, with the updated information, Deckmaster Tim now has 18 unique trading cards in his collection. ### Answer: 18
Expected answer: 18
Correct? Yes
Problem: John has 5 dollars in his wallet. Later, he found an old birthday card with 86 dollars inside. After adding this to his wallet, how much money does John now have in his wallet?
Claude-3 Opus:
Let's organize the information we have: * John initially had $5 in his wallet. * He found a birthday card with $86 inside. * He added the money from the birthday card to his wallet. To find out how much money John has now, we need to add the initial amount in his wallet to the money he found in the birthday card. Initial amount in wallet: $5 Money found in birthday card: $86 Total money in wallet now: $5 + $86 = $91 Therefore, after adding the money from the birthday card, John now has $91 in his wallet. ### Answer: $91
Expected answer: 91
Correct? Yes
Problem: After counting his money, John decides to buy a video game that costs 78 dollars. After paying for it, how much money does John have left in his wallet?
Claude-3 Opus:
Great! Let's solve this problem step by step. We know that: * John had $91 in his wallet after adding the money from the birthday card. * He bought a video game that costs $78. To find out how much money John has left in his wallet, we need to subtract the cost of the video game from the total money he had. Money in wallet before buying the game: $91 Cost of the video game: $78 Money left in wallet: $91 - $78 = $13 So, after paying for the video game, John has $13 left in his wallet. ### Answer: $13
Expected answer: 13
Correct? Yes
Problem: Let's adjust the original situation a bit: suppose that initially, John had only 2 dollars in his wallet, instead of 5. After finding the same 5 dollars inside the old birthday card and adding it to his wallet, how much money does John now have in his wallet?
Claude-3 Opus:
Okay, let's update the information based on the new situation: * John initially had $2 in his wallet (instead of $5). * He found a birthday card with $5 inside (instead of $86). * He added the money from the birthday card to his wallet. To find out how much money John has now, we need to add the initial amount in his wallet to the money he found in the birthday card. Initial amount in wallet: $2 Money found in birthday card: $5 Total money in wallet now: $2 + $5 = $7 Therefore, after adding the money from the birthday card, John now has $7 in his wallet. ### Answer: $7
Expected answer: 7
Correct? Yes
Problem: At a campfire night, 26 marshmallows were roasted initially. Later in the night, an additional 12 marshmallows were roasted. The next day morning, 7 fresh marshmallows were roasted for breakfast. How many marshmallows were roasted in total?
Claude-3 Opus:
Let's organize the information we have: * Initially, 26 marshmallows were roasted. * Later in the night, an additional 12 marshmallows were roasted. * The next morning, 7 fresh marshmallows were roasted for breakfast. To find the total number of marshmallows roasted, we need to add the number of marshmallows roasted in each instance: Total marshmallows roasted = Initial marshmallows + Additional marshmallows later in the night + Marshmallows roasted the next morning * Initial marshmallows = 26 * Additional marshmallows later in the night = 12 * Marshmallows roasted the next morning = 7 Total marshmallows roasted = 26 + 12 + 7 = <<26+12+7=45>>45 ### Answer: 45
Expected answer: 45
Correct? Yes
Problem: The sun is 56 million miles away from a planet. On this planet, every mile corresponds to one unit of brightness for their daylight. What is the total brightness of their daylight, measured in these units?
Claude-3 Opus:
To find the total brightness of daylight on the planet, we need to convert the distance from the sun to the planet into the planet's units of brightness. Given: - The sun is 56 million miles away from the planet. - Every mile corresponds to one unit of brightness for their daylight. Step 1: Convert the distance from miles to the planet's units of brightness. Since every mile corresponds to one unit of brightness, the number of units of brightness will be equal to the number of miles. Units of brightness = 56,000,000 Therefore, the total brightness of daylight on the planet is 56,000,000 units. ### Answer: 56,000,000 units.
Expected answer: 56
Correct? Yes
Problem: In a dense jungle, there are 42 monkeys living on trees. After a few months, the monkey population increased and 29 more monkeys are seen around. What is the total number of monkeys in the jungle now?
Claude-3 Opus:
To solve this problem, let's organize the given information: * Initially, there were 42 monkeys living on trees in the jungle. * After a few months, 29 more monkeys were seen around. To find the total number of monkeys in the jungle now, we need to add the initial number of monkeys to the number of new monkeys. Initial number of monkeys = 42 New monkeys = 29 Total monkeys now = Initial number of monkeys + New monkeys Total monkeys now = 42 + 29 = 71 Therefore, the total number of monkeys in the jungle now is 71. ### Answer: 71
Expected answer: 71
Correct? Yes
Problem: In the previous jungle monkey population query, we said that the original population was 42 monkeys. However, let's consider a possibility where there were initially only 26 monkeys before the 29 additional monkeys arrived. Can you calculate the total number of monkeys that would be there in the jungle now?
Claude-3 Opus:
Certainly! Let's solve this problem with the updated information: * Initially, there were 26 monkeys living on trees in the jungle. * After a few months, 29 more monkeys were seen around. To find the total number of monkeys in the jungle now, we need to add the initial number of monkeys to the number of new monkeys. Initial number of monkeys = 26 New monkeys = 29 Total monkeys now = Initial number of monkeys + New monkeys Total monkeys now = 26 + 29 = 55 Therefore, if there were initially 26 monkeys before the 29 additional monkeys arrived, the total number of monkeys in the jungle now would be 55. ### Answer: 55
Expected answer: 55
Correct? Yes
Problem: A pirate found an ancient chest filled with 16 emeralds. Excited, she continued her search and found another chest also filled with 16 emeralds. How many emeralds does the pirate have in total now?
Claude-3 Opus:
Let's organize the information we have: * The pirate found an ancient chest with 16 emeralds. * She then found another chest also containing 16 emeralds. To find the total number of emeralds the pirate has now, we need to add the number of emeralds from both chests: Emeralds in the first chest = 16 Emeralds in the second chest = 16 Total emeralds = Emeralds in the first chest + Emeralds in the second chest Total emeralds = 16 + 16 = <<16+16=32>>32 Therefore, the pirate now has 32 emeralds in total. ### Answer: 32
Expected answer: 32
Correct? Yes
Problem: The pirate was thrilled with her find of 32 emeralds but the adventure had just begun. Suppose she had found two chests initially each filled with 45 emeralds instead of 16. How many emeralds would the pirate have in total now?
Claude-3 Opus:
Let's update the information based on the new scenario: * The pirate found two chests initially. * Each chest contained 45 emeralds. To find the total number of emeralds the pirate has now, we need to add the number of emeralds from both chests: Emeralds in the first chest = 45 Emeralds in the second chest = 45 Total emeralds = Emeralds in the first chest + Emeralds in the second chest Total emeralds = 45 + 45 = <<45+45=90>>90 Therefore, in this new scenario, the pirate would have 90 emeralds in total. ### Answer: 90
Expected answer: 90
Correct? Yes
Problem: There was a building with 28 windows on the ground floor. The owner decided to add 4 more windows to make it more presentable. Later, he went ahead to the next floor where there were already 51 windows. What is the total number of windows in the building now?
Claude-3 Opus:
Let's organize the information we have: * Initially, there were 28 windows on the ground floor. * The owner added 4 more windows to the ground floor. * On the next floor, there were already 51 windows. Now, let's solve the problem step by step: 1. Find the total number of windows on the ground floor after adding 4 more: * Total windows on the ground floor = Initial windows + Added windows * Total windows on the ground floor = 28 + 4 = 32 2. Find the total number of windows in the building: * Total windows = Total windows on the ground floor + Windows on the next floor * Total windows = 32 + 51 = 83 Therefore, the total number of windows in the building now is 83. ### Answer: 83
Expected answer: 83
Correct? Yes
Problem: After a sudden storm passed through the town, the building owner was dismayed to discover that 64 of the windows in his building had been shattered by hail. After removing the shattered windows, how many windows are left unbroken in the building?
Claude-3 Opus:
Let's continue from the previous problem and use the information we have: * The building has a total of 83 windows. * After the storm, 64 windows were shattered by hail. To find the number of unbroken windows, we need to subtract the number of shattered windows from the total number of windows: * Unbroken windows = Total windows - Shattered windows * Unbroken windows = 83 - 64 = 19 Therefore, after removing the shattered windows, there are 19 windows left unbroken in the building. ### Answer: 19
Expected answer: 19
Correct? Yes
Problem: Let's say the owner originally had 28 windows on the ground floor and decided to add just 4 more for better aesthetics. However, instead of 51 windows as in the previous scenario, suppose he only had 25 windows on the next floor. Now, how many windows are there in total in the building?
Claude-3 Opus:
Okay, let's update the information based on the new scenario: * Initially, there were 28 windows on the ground floor. * The owner added 4 more windows to the ground floor. * On the next floor, there are 25 windows. Now, let's solve the problem step by step: 1. Find the total number of windows on the ground floor after adding 4 more: * Total windows on the ground floor = Initial windows + Added windows * Total windows on the ground floor = 28 + 4 = 32 2. Find the total number of windows in the building: * Total windows = Total windows on the ground floor + Windows on the next floor * Total windows = 32 + 25 = 57 Therefore, in this new scenario, the total number of windows in the building is 57. ### Answer: 57
Expected answer: 57
Correct? Yes
Problem: In a large vegetable garden, there were originally 93 cucumbers. But then, 13 cucumbers got eaten by insects. The gardener then removed an additional 9 cucumbers to prepare for dinner. How many cucumbers are left in the garden after the gardener removes the cucumbers for dinner?
Claude-3 Opus:
Let's solve this problem step by step: 1. Understand the given information: * Originally, there were 93 cucumbers in the garden. * 13 cucumbers were eaten by insects. * The gardener removed an additional 9 cucumbers for dinner. 2. Calculate the number of cucumbers remaining after the insects ate some: * Remaining cucumbers after insects = 93 - 13 = 80 3. Calculate the number of cucumbers left after the gardener removed some for dinner: * Cucumbers left in the garden = 80 - 9 = 71 Therefore, after the insects ate some cucumbers and the gardener removed some for dinner, there are 71 cucumbers left in the garden. ### Answer: 71
Expected answer: 71
Correct? Yes
Problem: In the large vegetable garden, after the gardener removed the cucumbers for dinner, a group of children came and picked 50 cucumbers for a school project. How many cucumbers are left in the garden after the children took their cucumbers?
Claude-3 Opus:
Great! Let's continue from where we left off in the previous problem. Given: - After the insects ate some cucumbers and the gardener removed some for dinner, there were 71 cucumbers left in the garden. - A group of children came and picked 50 cucumbers for a school project. To find out how many cucumbers are left in the garden after the children took their cucumbers, we need to subtract the number of cucumbers the children picked from the remaining cucumbers in the garden. Cucumbers left after children picked = Remaining cucumbers - Cucumbers picked by children Cucumbers left after children picked = 71 - 50 = 21 Therefore, after the children picked 50 cucumbers for their school project, there are 21 cucumbers left in the large vegetable garden. ### Answer: 21
Expected answer: 21
Correct? Yes
Problem: In the large vegetable garden, suppose that originally there were 93 cucumbers. But this time, insects ate 52 cucumbers instead of 13. After that, the gardener removed an additional 9 cucumbers to prepare for dinner. How many cucumbers are left in the garden after the gardener removed the cucumbers for dinner?
Claude-3 Opus:
Let's solve this problem step by step: 1. Understand the given information: * Originally, there were 93 cucumbers in the garden. * 52 cucumbers were eaten by insects. * The gardener removed an additional 9 cucumbers for dinner. 2. Calculate the number of cucumbers remaining after the insects ate some: * Remaining cucumbers after insects = 93 - 52 = 41 3. Calculate the number of cucumbers left after the gardener removed some for dinner: * Cucumbers left in the garden = 41 - 9 = 32 Therefore, after the insects ate 52 cucumbers and the gardener removed 9 cucumbers for dinner, there are 32 cucumbers left in the garden. ### Answer: 32
Expected answer: 32
Correct? Yes
Problem: On a sunny day at the beach, there were 80 beach balls initially. However, during a gusty period, 55 balls were taken by the wind and ended up in the ocean. How many beach balls are left on the beach?
Claude-3 Opus:
Let's organize the information we have: * Initially, there were 80 beach balls on the beach. * During a gusty period, 55 balls were taken by the wind and ended up in the ocean. To find out how many beach balls are left on the beach, we need to subtract the number of balls that ended up in the ocean from the initial number of balls on the beach. Calculation: * Beach balls left = Initial number of beach balls - Beach balls taken by the wind * Beach balls left = 80 - 55 = 25 Therefore, there are 25 beach balls left on the beach. ### Answer: 25
Expected answer: 25
Correct? Yes
Problem: Following the gusty period at the beach that took away 55 beach balls, leaving some behind, 71 new colourful beach balls were delivered to the beach. How many beach balls are there now at the beach?
Claude-3 Opus:
Great! Let's solve this problem step by step. We'll use the information from the previous problem and the new information provided. Given: * After the gusty period, there were 25 beach balls left on the beach. * 71 new colorful beach balls were delivered to the beach. To find the total number of beach balls now at the beach, we need to add the number of beach balls left after the gusty period and the number of new beach balls delivered. Calculation: * Total beach balls = Beach balls left after gusty period + New beach balls delivered * Total beach balls = 25 + 71 = 96 So, there are now 96 beach balls at the beach. ### Answer: 96
Expected answer: 96
Correct? Yes
Problem: Let's imagine, instead of 55 beach balls being taken by the wind, only 21 beach balls ended up in the ocean. In that case, how many beach balls would be left on the beach?
Claude-3 Opus:
Great! Let's solve this problem with the updated information. Given: * Initially, there were 80 beach balls on the beach. * During a gusty period, 21 balls were taken by the wind and ended up in the ocean. To find out how many beach balls are left on the beach, we need to subtract the number of balls that ended up in the ocean from the initial number of balls on the beach. Calculation: * Beach balls left = Initial number of beach balls - Beach balls taken by the wind * Beach balls left = 80 - 21 = 59 Therefore, if only 21 beach balls ended up in the ocean, there would be 59 beach balls left on the beach. ### Answer: 59
Expected answer: 59
Correct? Yes
Problem: A chef has a special recipe that calls for 1 tablespoon of salt. He needs to prepare thirty identical meals plus an extra one for tasting purposes. In total, how many tablespoons of salt would he be needing?
Claude-3 Opus:
Let's organize the information we have: * The recipe requires 1 tablespoon of salt per meal. * The chef needs to prepare 30 identical meals. * He also needs to prepare an extra meal for tasting. Now, let's solve the problem step by step: 1. Find the total number of meals the chef needs to prepare: - Regular meals = 30 - Extra meal for tasting = 1 - Total meals = 30 + 1 = 31 2. Calculate the total number of tablespoons of salt needed: - Salt needed per meal = 1 tablespoon - Total meals = 31 - Total salt needed = 1 tablespoon × 31 = 31 tablespoons Therefore, the chef would need 31 tablespoons of salt in total. ### Answer: 31 tablespoons
Expected answer: 31
Correct? Yes
Problem: After preparing a total of 31 meals, the chef realizes he has a large container filled with 60 tablespoons of salt. Given the amount of salt he has already used, how many tablespoons does he have left in the container after making the meals?
Claude-3 Opus:
Great! Let's solve this problem step by step. We know that: * The chef has a container with 60 tablespoons of salt. * He used 31 tablespoons of salt to prepare the meals. To find out how many tablespoons of salt are left in the container, we need to subtract the used amount from the initial amount. 1. Calculate the remaining tablespoons of salt: - Initial amount of salt = 60 tablespoons - Used amount of salt = 31 tablespoons - Remaining salt = Initial amount - Used amount - Remaining salt = 60 tablespoons - 31 tablespoons = 29 tablespoons So, after preparing the meals, the chef has 29 tablespoons of salt left in the container. ### Answer: 29 tablespoons
Expected answer: 29
Correct? Yes
Problem: Sarah had 40 pens at the beginning of the month. Over the course of the month, she gave away 27 pens to her friends. Later, in a pen collection competition, Sarah noticed that the winner had 51 pens. How many more pens does she need to have in order to match the winner's collection?
Claude-3 Opus:
Let's organize the information we have: * Sarah had 40 pens at the beginning of the month. * She gave away 27 pens to her friends. * The winner of the pen collection competition had 51 pens. Now, let's solve the problem step by step: 1. Calculate how many pens Sarah has after giving away some to her friends: * Remaining pens = Initial pens - Pens given away * Remaining pens = 40 - 27 = 13 2. Calculate how many more pens Sarah needs to match the winner's collection: * Additional pens needed = Winner's pens - Sarah's remaining pens * Additional pens needed = 51 - 13 = 38 Therefore, Sarah needs 38 more pens to match the winner's collection. ### Answer: 38
Expected answer: 38
Correct? Yes
Problem: In the earlier scenario, Sarah initially had 77 pens instead of 40. She still gave away 27 pens to her friends. Given her new initial number of pens, how many more pens does she now need to match the winner's collection of 51 pens?
Claude-3 Opus:
Okay, let's update the information based on the new scenario: * Sarah had 77 pens at the beginning of the month (instead of 40). * She gave away 27 pens to her friends. * The winner of the pen collection competition had 51 pens. Now, let's solve the problem step by step: 1. Calculate how many pens Sarah has after giving away some to her friends: * Remaining pens = Initial pens - Pens given away * Remaining pens = 77 - 27 = 50 2. Compare Sarah's remaining pens with the winner's collection: * Sarah's remaining pens = 50 * Winner's pens = 51 * 50 < 51, so Sarah needs more pens to match the winner's collection. 3. Calculate how many more pens Sarah needs to match the winner's collection: * Additional pens needed = Winner's pens - Sarah's remaining pens * Additional pens needed = 51 - 50 = 1 Therefore, with her new initial number of pens, Sarah needs only 1 more pen to match the winner's collection. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: In a towel factory, 12 new towels are produced in the morning and 35 more in the afternoon. In a separate section of the factory, there are already 8 towels that have been produced. How many towels are there in total in the factory?
Claude-3 Opus:
Let's organize the information we have: * In the morning, 12 new towels are produced. * In the afternoon, 35 more towels are produced. * In a separate section of the factory, there are already 8 towels. To find the total number of towels in the factory, we need to: 1. Add the number of towels produced in the morning and afternoon. 2. Add the result to the number of towels in the separate section. Step 1: Add the number of towels produced in the morning and afternoon * Towels produced in the morning = 12 * Towels produced in the afternoon = 35 * Total towels produced = 12 + 35 = 47 Step 2: Add the result to the number of towels in the separate section * Total towels produced = 47 * Towels in the separate section = 8 * Total towels in the factory = 47 + 8 = 55 ### Answer: 55
Expected answer: 55
Correct? Yes
Problem: In the towel factory, an updated report shows that instead of 35 towels, 73 new towels were actually produced in the afternoon, while the number of towels produced in the morning remains the same (12 towels). Keeping in mind that 8 towels were already produced, how many towels are there in total in the factory now?
Claude-3 Opus:
Let's update the information based on the new report: * In the morning, 12 new towels are produced. * In the afternoon, 73 new towels were actually produced (instead of 35). * In a separate section of the factory, there are already 8 towels. To find the updated total number of towels in the factory, we need to: 1. Add the number of towels produced in the morning and the updated number of towels produced in the afternoon. 2. Add the result to the number of towels in the separate section. Step 1: Add the number of towels produced in the morning and the updated number of towels produced in the afternoon * Towels produced in the morning = 12 * Updated towels produced in the afternoon = 73 * Total towels produced = 12 + 73 = 85 Step 2: Add the result to the number of towels in the separate section * Total towels produced = 85 * Towels in the separate section = 8 * Updated total towels in the factory = 85 + 8 = 93 ### Answer: 93
Expected answer: 93
Correct? Yes
Problem: A helicopter depot has 75 fuel tanks in storage. After a large fleet of helicopters refuel, there are only 44 tanks left. How many fuel tanks were used?
Claude-3 Opus:
To solve this problem, let's organize the given information: * The helicopter depot initially had 75 fuel tanks in storage. * After the large fleet of helicopters refueled, there were 44 tanks left. To find out how many fuel tanks were used, we need to subtract the number of tanks left from the initial number of tanks. Fuel tanks used = Initial number of tanks - Number of tanks left Fuel tanks used = 75 - 44 = <<75-44=31>>31 Therefore, 31 fuel tanks were used by the large fleet of helicopters. ### Answer: 31
Expected answer: 31
Correct? Yes
Problem: In the same helicopter depot scenario, suppose we start with the same amount of 75 fuel tanks in storage. But this time, after a different group of helicopters refuel, there are 22 tanks left instead of 44. Now, how many fuel tanks were used?
Claude-3 Opus:
Great! Let's solve this problem using the same approach as before, but with the new information. Given: * The helicopter depot initially had 75 fuel tanks in storage. * After a different group of helicopters refueled, there were 22 tanks left. To find out how many fuel tanks were used, we subtract the number of tanks left from the initial number of tanks. Fuel tanks used = Initial number of tanks - Number of tanks left Fuel tanks used = 75 - 22 = <<75-22=53>>53 In this scenario, 53 fuel tanks were used by the different group of helicopters. ### Answer: 53
Expected answer: 53
Correct? Yes
Problem: In the magical land of Unica, 33 unicorns have been spotted in the morning and the same number of unicorns are seen again in the afternoon. A pair of rare twin unicorns has joined the unicorns. How many unicorns are in Unica in total?
Claude-3 Opus:
Let's solve this problem step by step: 1. Understand the given information: * 33 unicorns were spotted in the morning. * The same number of unicorns (33) were seen again in the afternoon. * A pair of rare twin unicorns joined the other unicorns. 2. Calculate the total number of unicorns without the rare twin unicorns: * Total unicorns = Morning unicorns + Afternoon unicorns * Total unicorns = 33 + 33 = 66 3. Add the pair of rare twin unicorns to the total: * Total unicorns in Unica = Total unicorns + Rare twin unicorns * Total unicorns in Unica = 66 + 2 = 68 ### Answer: 68
Expected answer: 68
Correct? Yes
Problem: In the magical land of Unica, consider again the unicorns that were spotted. Supposedly instead of 33 unicorns in the morning, there were actually 58 unicorns. The same number of 33 unicorns are still seen in the afternoon, and the pair of rare twin unicorns is still there. Now, how many unicorns are in Unica in total?
Claude-3 Opus:
Let's solve this problem step by step with the updated information: 1. Understand the given information: * 58 unicorns were spotted in the morning (updated from 33). * 33 unicorns were seen in the afternoon (same as before). * A pair of rare twin unicorns joined the other unicorns (same as before). 2. Calculate the total number of unicorns without the rare twin unicorns: * Total unicorns = Morning unicorns + Afternoon unicorns * Total unicorns = 58 + 33 = 91 3. Add the pair of rare twin unicorns to the total: * Total unicorns in Unica = Total unicorns + Rare twin unicorns * Total unicorns in Unica = 91 + 2 = 93 ### Answer: 93
Expected answer: 93
Correct? Yes
Problem: Galaxy Man, a superhero, has been on 94 missions since he started his career. In 18 of these missions, he had to collaborate with other superheroes. How many missions did Galaxy Man complete on his own?
Claude-3 Opus:
Let's organize the information we have: * Galaxy Man has been on a total of 94 missions. * Out of these 94 missions, he collaborated with other superheroes on 18 missions. To find out how many missions Galaxy Man completed on his own, we need to subtract the number of collaborative missions from the total number of missions. Total missions = 94 Collaborative missions = 18 Missions on his own = Total missions - Collaborative missions Missions on his own = 94 - 18 = 76 Therefore, Galaxy Man completed 76 missions on his own. ### Answer: 76
Expected answer: 76
Correct? Yes
Problem: If instead of 94 missions, Galaxy Man had only been on 28 missions since the start of his career, with the same 18 missions involving other superheroes, how many missions would Galaxy Man have completed alone?
Claude-3 Opus:
Okay, let's update the information based on the new scenario: * Galaxy Man has now been on a total of 28 missions (instead of 94). * He still collaborated with other superheroes on 18 missions. We'll use the same approach as before to find out how many missions Galaxy Man completed on his own: Total missions = 28 Collaborative missions = 18 Missions on his own = Total missions - Collaborative missions Missions on his own = 28 - 18 = 10 However, there's a problem with this result. If Galaxy Man collaborated on 18 missions out of a total of 28 missions, it's not possible for him to have completed 10 missions on his own. The number of collaborative missions cannot exceed the total number of missions. In this scenario, the maximum number of missions Galaxy Man could have completed on his own is: Missions on his own (maximum) = Total missions - Collaborative missions Missions on his own (maximum) = 28 - 18 = 10 Therefore, with the given information, Galaxy Man could have completed a maximum of 10 missions on his own, assuming the number of collaborative missions is correct. ### Answer: 10 (maximum)
Expected answer: 10
Correct? Yes
Problem: You have a total of 92 pairs of earrings in your collection. After hosting a flea market, you sold 45 pairs. How many pairs of earrings do you have left in your collection?
Claude-3 Opus:
Let's solve this problem step by step: 1. Understand the given information: * You have a total of 92 pairs of earrings in your collection. * You sold 45 pairs of earrings at the flea market. 2. To find out how many pairs of earrings you have left, subtract the number of pairs sold from the total number of pairs you had initially: * Remaining pairs = Total pairs - Sold pairs * Remaining pairs = 92 - 45 * Remaining pairs = <<92-45=47>>47 Therefore, after selling 45 pairs of earrings at the flea market, you have 47 pairs of earrings left in your collection. ### Answer: 47
Expected answer: 47
Correct? Yes
Problem: Imagine instead of 92 pairs of earrings, you originally had 48 pairs in your collection. After selling 45 pairs in the flea market, how many pairs of earrings do you have left now in your collection?
Claude-3 Opus:
Let's solve this problem step by step: 1. Understand the given information: * You have a total of 48 pairs of earrings in your collection. * You sold 45 pairs of earrings at the flea market. 2. To find out how many pairs of earrings you have left, subtract the number of pairs sold from the total number of pairs you had initially: * Remaining pairs = Total pairs - Sold pairs * Remaining pairs = 48 - 45 * Remaining pairs = <<48-45=3>>3 Therefore, after selling 45 pairs of earrings at the flea market, you have 3 pairs of earrings left in your collection. ### Answer: 3
Expected answer: 3
Correct? Yes
Problem: In a new game, a player has just earned 12 XP points. To level up, the player needs a total of 73 XP points plus the initial amount they just earned. How many XP points does the player need to level up?
Claude-3 Opus:
Let's organize the information we have: * The player has just earned 12 XP points. * To level up, the player needs a total of 73 XP points plus the initial amount they just earned. To find out how many XP points the player needs to level up, we need to: 1. Calculate the total XP points needed to level up by adding the 73 XP points to the initial amount earned. 2. Subtract the initial amount earned from the total XP points needed to level up. Step 1: Calculate the total XP points needed to level up * Total XP points needed = 73 + 12 = 85 Step 2: Subtract the initial amount earned from the total XP points needed * XP points needed to level up = Total XP points needed - Initial amount earned * XP points needed to level up = 85 - 12 = 73 Therefore, the player needs 73 more XP points to level up. ### Answer: 73
Expected answer: 85
Correct? No
Problem: In a fantastical kingdom, there are 10 dragons. One day, 89 dragons from distant lands come to the kingdom for a grand gathering. How many dragons were in the kingdom after the gathering?
Claude-3 Opus:
Let's organize the information we have: * Initially, there were 10 dragons in the kingdom. * 89 dragons from distant lands came to the kingdom for the gathering. To find the total number of dragons in the kingdom after the gathering, we need to add the number of dragons that were already in the kingdom to the number of dragons that came from distant lands. Total dragons after the gathering = Dragons in the kingdom + Dragons from distant lands * Total dragons after the gathering = 10 + 89 * Total dragons after the gathering = 99 Therefore, after the gathering, there were 99 dragons in the kingdom. ### Answer: 99
Expected answer: 99
Correct? Yes
Problem: Considering that originally, there were 10 dragons in the kingdom and instead of having 89 additional dragons arriving, only 10 more dragons came for the grand gathering. How many dragons were in the kingdom for the gathering then?
Claude-3 Opus:
Okay, let's update the information based on the new scenario: * Initially, there were 10 dragons in the kingdom. * Instead of 89 dragons, only 10 more dragons came to the kingdom for the gathering. To find the total number of dragons in the kingdom for the gathering, we need to add the number of dragons that were already in the kingdom to the number of dragons that came for the gathering. Total dragons for the gathering = Dragons in the kingdom + Dragons that came for the gathering * Total dragons for the gathering = 10 + 10 * Total dragons for the gathering = 20 Therefore, in this updated scenario, there were 20 dragons in the kingdom for the gathering. ### Answer: 20
Expected answer: 20
Correct? Yes
Problem: Emily loves to pass her time by watching TV. One day, she decided to do a marathon of her favorite series. On the first day, she watched 34 episodes. Overwhelmed by the suspense, on the next day she watched 61 more episodes. How many episodes did Emily watch in total?
Claude-3 Opus:
Let's organize the information we have: * On the first day, Emily watched 34 episodes. * On the next day, she watched 61 more episodes. To find the total number of episodes Emily watched, we need to add the number of episodes she watched on both days. Total episodes = Episodes watched on the first day + Episodes watched on the next day Total episodes = 34 + 61 Total episodes = <<34+61=95>>95 Therefore, Emily watched a total of 95 episodes in her two-day marathon. ### Answer: 95
Expected answer: 95
Correct? Yes
Problem: Emily realized that she had made an error. Actually, on the first day, she had watched 23 episodes and not 34. With the 61 more episodes she watched the next day, how many episodes did Emily watch in total now?
Claude-3 Opus:
Okay, let's update the information based on the correction: * On the first day, Emily watched 23 episodes (not 34). * On the next day, she watched 61 more episodes. Now, let's calculate the total number of episodes Emily watched with the corrected information. Total episodes = Episodes watched on the first day + Episodes watched on the next day Total episodes = 23 + 61 Total episodes = <<23+61=84>>84 So, with the corrected number of episodes watched on the first day, Emily watched a total of 84 episodes in her two-day marathon. ### Answer: 84
Expected answer: 84
Correct? Yes
Problem: In a magical realm, a total of 58 dragons exist. However, 13 of them decided to migrate to another realm. How many dragons remain in the original realm?
Claude-3 Opus:
Let's solve this problem step by step: 1. Understand the given information: * There are 58 dragons in total in the magical realm. * 13 dragons decided to migrate to another realm. 2. To find the number of dragons remaining in the original realm, we need to subtract the number of dragons that migrated from the total number of dragons: * Remaining dragons = Total dragons - Dragons that migrated * Remaining dragons = 58 - 13 * Remaining dragons = <<58-13=45>>45 Therefore, 45 dragons remain in the original realm. ### Answer: 45
Expected answer: 45
Correct? Yes
Problem: In the same magical realm, let's now consider a slightly altered scenario. What if, instead of 13 dragons leaving, only 1 dragon had migrated to another realm? How many dragons would remain in the original realm then?
Claude-3 Opus:
Great! Let's solve this altered scenario step by step: 1. Understand the given information: * There are 58 dragons in total in the magical realm. * In this altered scenario, only 1 dragon decided to migrate to another realm. 2. To find the number of dragons remaining in the original realm, we need to subtract the number of dragons that migrated from the total number of dragons: * Remaining dragons = Total dragons - Dragons that migrated * Remaining dragons = 58 - 1 * Remaining dragons = <<58-1=57>>57 Therefore, in this altered scenario where only 1 dragon migrated, 57 dragons would remain in the original realm. ### Answer: 57
Expected answer: 57
Correct? Yes
Problem: A town's water reservoir contains 87 million liters of water. To supply water for various needs, the town decides to use 73 million liters of water from the reservoir. What is the remaining amount of water in the reservoir in millions of liters?
Claude-3 Opus:
To solve this problem, let's organize the given information: * The water reservoir initially contains 87 million liters of water. * The town decides to use 73 million liters of water from the reservoir. To find the remaining amount of water in the reservoir, we need to subtract the used water from the initial amount: Remaining water = Initial amount - Used amount Remaining water = 87 million liters - 73 million liters Remaining water = <<87-73=14>>14 million liters Therefore, the remaining amount of water in the reservoir is 14 million liters. ### Answer: 14 million liters
Expected answer: 14
Correct? Yes
Problem: After considering the water needs of the town more carefully, it turns out the town only decided to use 22 million liters of water from the reservoir, as opposed to 73 million liters previously calculated. What is the remaining amount of water in the reservoir in million liters under this revised estimate?
Claude-3 Opus:
Let's update the problem with the new information: * The water reservoir initially contains 87 million liters of water. * The town decides to use 22 million liters of water from the reservoir (instead of 73 million liters). To find the remaining amount of water in the reservoir, we need to subtract the used water from the initial amount: Remaining water = Initial amount - Used amount Remaining water = 87 million liters - 22 million liters Remaining water = <<87-22=65>>65 million liters Therefore, under the revised estimate, the remaining amount of water in the reservoir is 65 million liters. ### Answer: 65 million liters
Expected answer: 65
Correct? Yes
Problem: In a rocket science laboratory, there were originally 40 components. However, due to an experiment, 29 components were used up and are no longer available. Afterward, the laboratory received a new delivery with an extra 47 components. what is the total number of components in the laboratory now?
Claude-3 Opus:
Let's organize the information we have: * Originally, there were 40 components in the laboratory. * 29 components were used up in an experiment. * The laboratory received a new delivery of 47 components. To find the total number of components in the laboratory now, we need to: 1. Subtract the used components from the original number of components. 2. Add the newly delivered components to the remaining components. Step 1: Remaining components after the experiment * Remaining components = Original components - Used components * Remaining components = 40 - 29 = 11 Step 2: Total components after the new delivery * Total components = Remaining components + Newly delivered components * Total components = 11 + 47 = 58 Therefore, the total number of components in the laboratory now is 58. ### Answer: 58
Expected answer: 58
Correct? Yes
Problem: Building on the previous scenario, in the rocket science laboratory, after counting the total number of components now available, they decided to further increase their stock. They received an additional shipment containing 14 more components. How many components does the laboratory have in total now?
Claude-3 Opus:
Let's organize the information we have: * After the previous scenario, the laboratory had 58 components. * They received an additional shipment of 14 components. To find the total number of components in the laboratory now, we need to: 1. Add the newly delivered components to the existing components. Step 1: Total components after the new shipment * Total components = Existing components + Newly delivered components * Total components = 58 + 14 = 72 Therefore, the laboratory now has a total of 72 components. ### Answer: 72
Expected answer: 72
Correct? Yes
Problem: In the original scenario at the rocket science laboratory, let's revise the number of components used up in the experiment. Instead of using 29 components, they only used 11 components from the original 40. The laboratory still received the new delivery with an extra 47 components afterwards. What is the total number of components in the laboratory now?
Claude-3 Opus:
Let's organize the updated information: * Originally, there were 40 components in the laboratory. * 11 components were used up in an experiment (instead of 29). * The laboratory received a new delivery of 47 components. To find the total number of components in the laboratory now, we need to: 1. Subtract the used components from the original number of components. 2. Add the newly delivered components to the remaining components. Step 1: Remaining components after the experiment * Remaining components = Original components - Used components * Remaining components = 40 - 11 = 29 Step 2: Total components after the new delivery * Total components = Remaining components + Newly delivered components * Total components = 29 + 47 = 76 Therefore, with the revised number of components used in the experiment, the total number of components in the laboratory now is 76. ### Answer: 76
Expected answer: 76
Correct? Yes
Problem: Maria has a garden and she grows tomatoes. This month she picked 68 tomatoes from her plants. At the same time, her neighbour Karen shared that she picked 64 tomatoes from her plants this month. How many more tomatoes did Maria pick than Karen?
Claude-3 Opus:
To find out how many more tomatoes Maria picked than Karen, we need to subtract the number of tomatoes Karen picked from the number of tomatoes Maria picked. Given: - Maria picked 68 tomatoes this month. - Karen picked 64 tomatoes this month. Calculation: Number of tomatoes Maria picked - Number of tomatoes Karen picked = 68 - 64 = 4 Therefore, Maria picked 4 more tomatoes than Karen. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: Maria's brother decided to grow tomatoes too. This month he picked 81 tomatoes from his plants. Karen didn't pick any additional tomatoes since we last checked, and still has 64 tomatoes. How many more tomatoes did Maria's brother pick than Karen?
Claude-3 Opus:
Let's organize the information we have: - Maria's brother picked 81 tomatoes this month. - Karen picked 64 tomatoes and didn't pick any additional tomatoes. To find out how many more tomatoes Maria's brother picked than Karen, we need to subtract the number of tomatoes Karen picked from the number of tomatoes Maria's brother picked. Calculation: Number of tomatoes Maria's brother picked - Number of tomatoes Karen picked = 81 - 64 = 17 Therefore, Maria's brother picked 17 more tomatoes than Karen. ### Answer: 17
Expected answer: 17
Correct? Yes
Problem: In a forest, there are 7 adults wolves and 77 cubs. The wolf population, denoted with w, is equal to 7 (adults wolves) + 77 (cubs). One winter, 40 wolves migrated to another forest, decreasing the population. How many wolves are left in the forest now?
Claude-3 Opus:
Let's solve this problem step by step: 1. Find the initial wolf population: * Adult wolves = 7 * Wolf cubs = 77 * Initial wolf population = Adult wolves + Wolf cubs * Initial wolf population = 7 + 77 = 84 wolves 2. Calculate the remaining wolf population after migration: * Wolves that migrated = 40 * Remaining wolf population = Initial wolf population - Wolves that migrated * Remaining wolf population = 84 - 40 = 44 wolves Therefore, after 40 wolves migrated to another forest, there are 44 wolves left in the forest. ### Answer: 44 wolves
Expected answer: 44
Correct? Yes
Problem: In a forest, there are 7 adults wolves and 77 cubs. The wolf population, denoted with w, is equal to 7 (adults wolves) + 77 (cubs). One winter, 40 wolves migrated to another forest, decreasing the population. Then later, a pack of 14 wolves moved to a mountainside. How many wolves are left in the forest now?
Claude-3 Opus:
Let's solve this problem step by step: 1. Find the initial wolf population: * Adult wolves = 7 * Wolf cubs = 77 * Initial wolf population (w) = Adult wolves + Wolf cubs * Initial wolf population (w) = 7 + 77 = 84 wolves 2. Calculate the remaining wolf population after the first migration: * Wolves that migrated in the first event = 40 * Wolf population after the first migration = Initial wolf population - Wolves that migrated * Wolf population after the first migration = 84 - 40 = 44 wolves 3. Calculate the remaining wolf population after the second migration: * Wolves that migrated in the second event (to the mountainside) = 14 * Final wolf population = Wolf population after the first migration - Wolves that migrated to the mountainside * Final wolf population = 44 - 14 = 30 wolves Therefore, after the two migration events, there are 30 wolves left in the forest. ### Answer: 30 wolves
Expected answer: 30
Correct? Yes
Problem: In the same forest, there were initially 7 adult wolves but this time, there were different number of cubs: 68 cubs instead of 77. As before, one winter, 40 wolves migrated to another forest. How many wolves are left in the forest now?
Claude-3 Opus:
Okay, let's solve this problem with the updated information: 1. Find the initial wolf population: * Adult wolves = 7 * Wolf cubs = 68 * Initial wolf population = Adult wolves + Wolf cubs * Initial wolf population = 7 + 68 = 75 wolves 2. Calculate the remaining wolf population after migration: * Wolves that migrated = 40 * Remaining wolf population = Initial wolf population - Wolves that migrated * Remaining wolf population = 75 - 40 = 35 wolves Therefore, with the updated number of wolf cubs (68 instead of 77) and after 40 wolves migrated to another forest, there are 35 wolves left in the forest. ### Answer: 35 wolves
Expected answer: 35
Correct? Yes
Problem: You have baked 75 cookies for an event. By the time you finish baking, you realize you have enough dough left to make 10 more cookies. How many cookies have you baked in total, including the 10 extras?
Claude-3 Opus:
Okay, let's organize the information we have: - You initially baked 75 cookies. - You have enough dough left to make 10 more cookies. To find the total number of cookies you have baked, we need to add the initial number of cookies to the extra cookies you can make with the remaining dough. Total cookies = Initial cookies + Extra cookies Total cookies = 75 + 10 Total cookies = 85 Therefore, you have baked a total of 85 cookies, including the 10 extras. ### Answer: 85
Expected answer: 85
Correct? Yes
Problem: In the previous situation, you had made 75 cookies for an event. But what if initially, you had only baked 75 cookies, and then decided to bake an additional 4 cookies with the leftover dough. How many cookies would you have in total then?
Claude-3 Opus:
Great! Let's solve this problem using the information provided. Given: - Initially, you baked 75 cookies. - You decided to bake an additional 4 cookies with the leftover dough. To find the total number of cookies you have baked, we need to add the initial number of cookies to the additional cookies you baked with the leftover dough. Total cookies = Initial cookies + Additional cookies Total cookies = 75 + 4 Total cookies = 79 Therefore, if you initially baked 75 cookies and then decided to bake an additional 4 cookies with the leftover dough, you would have a total of 79 cookies. ### Answer: 79
Expected answer: 79
Correct? Yes
Problem: A carpenter needs to make some tables. He initially has 78 boards of wood but uses 73 to prepare for the construction. He later realizes he has 99 potential orders but the current boards of wood he has are not enough to meet this demand. How many additional boards does he need to perfectly meet all the orders?
Claude-3 Opus:
Let's organize the information we have: * The carpenter initially had 78 boards of wood. * He used 73 boards to prepare for the construction. * He has 99 potential orders. Now, let's solve the problem step by step: 1. Find the number of boards left after preparation: * Boards left = Initial boards - Boards used in preparation * Boards left = 78 - 73 = <<78-73=5>>5 boards 2. Find the additional boards needed to meet the demand: * Additional boards needed = Potential orders - Boards left * Additional boards needed = 99 - 5 = <<99-5=94>>94 boards Therefore, the carpenter needs 94 more boards to perfectly meet all the orders. ### Answer: 94
Expected answer: 94
Correct? Yes
Problem: Following the previous problem, the carpenter decides to create smaller tables that only require one board of wood each. However, he realizes he can only afford to make 14 tables due to other limitations. With the current boards of wood he has, how many less tables will he be able to produce compared to his original ambition of making 14 tables?
Claude-3 Opus:
Great! Let's continue with the problem. We know from the previous problem that the carpenter has 5 boards of wood left after preparation. Given: * The carpenter can only afford to make 14 tables due to other limitations. * Each smaller table requires only one board of wood. * The carpenter has 5 boards of wood left. Now, let's find out how many fewer tables he can produce compared to his original plan: 1. Find the number of tables the carpenter can make with the current boards: * Tables he can make = Boards of wood left * Tables he can make = 5 tables 2. Find the difference between the planned number of tables and the actual number of tables he can make: * Difference = Planned tables - Tables he can make * Difference = 14 - 5 = <<14-5=9>>9 tables Therefore, the carpenter will be able to produce 9 fewer tables than his original plan of making 14 tables. ### Answer: 9
Expected answer: 9
Correct? Yes
Problem: One evening, a young astronomer counted 1 star in a small area of the sky. Then, he noticed that 5 more stars gradually became visible as his eyes adjusted to the darkness. After an hour, a meteor shower began and he spotted 28 more stars. How many stars did the astronomer see in total during that evening?
Claude-3 Opus:
Let's organize the information we have: * Initially, the astronomer counted 1 star. * As his eyes adjusted, he saw 5 more stars. * During the meteor shower, he spotted 28 more stars. To find the total number of stars the astronomer saw, we need to add all the stars he saw during the evening. Total stars = Initial star + Stars seen as eyes adjusted + Stars spotted during meteor shower Total stars = 1 + 5 + 28 Total stars = <<1+5+28=34>>34 Therefore, the astronomer saw a total of 34 stars during that evening. ### Answer: 34
Expected answer: 34
Correct? Yes
Problem: The young astronomer then noticed that a cloud drifted across the sky, temporarily covering 27 of the stars he had been observing. After the cloud passed, how many stars were left visible to him?
Claude-3 Opus:
Great! Let's continue with the problem. We know from the previous question that the astronomer saw a total of 34 stars. Now, a cloud covered 27 of those stars temporarily. Given: * The astronomer saw a total of 34 stars. * A cloud temporarily covered 27 stars. To find the number of stars left visible after the cloud passed, we need to subtract the number of stars covered by the cloud from the total number of stars. Stars left visible = Total stars - Stars covered by the cloud Stars left visible = 34 - 27 Stars left visible = <<34-27=7>>7 Therefore, after the cloud passed, 7 stars were left visible to the astronomer. ### Answer: 7
Expected answer: 7
Correct? Yes
Problem: It was David's birthday and he had 40 gifts in his room. Later in the day, his friends surprised him with 26 more gifts. How many gifts does David have in total?
Claude-3 Opus:
Let's organize the information we have: * David initially had 40 gifts in his room. * His friends surprised him with 26 more gifts. To find the total number of gifts David has, we need to add the initial number of gifts and the number of gifts his friends brought. Initial gifts: 40 Gifts from friends: 26 Total gifts = Initial gifts + Gifts from friends Total gifts = 40 + 26 = <<40+26=66>>66 Therefore, David has a total of 66 gifts. ### Answer: 66
Expected answer: 66
Correct? Yes
Problem: After opening the gifts, David decided to donate some of them to a local charity. He kept 44 gifts and donated the rest. How many gifts did he donate?
Claude-3 Opus:
Great! Let's solve this problem step by step. We'll use the information from the previous question to determine how many gifts David donated. Given: - David had a total of 66 gifts. - He kept 44 gifts for himself. To find the number of gifts David donated, we need to subtract the number of gifts he kept from the total number of gifts he had. Donated gifts = Total gifts - Kept gifts Donated gifts = 66 - 44 = <<66-44=22>>22 So, David donated 22 gifts to the local charity. ### Answer: 22
Expected answer: 22
Correct? Yes
Problem: Let's say it was not David's birthday, but it was instead his friend Mark's birthday. Mark received initially 69 gifts. Later, his friends surprised him with the same amount of 26 more gifts which David received. How many gifts does Mark have in total now?
Claude-3 Opus:
Okay, let's organize the new information: * It was Mark's birthday, not David's. * Mark initially received 69 gifts. * Mark's friends surprised him with the same number of additional gifts as David, which is 26. To find the total number of gifts Mark has, we need to add the initial number of gifts and the number of gifts his friends brought. Initial gifts: 69 Gifts from friends: 26 Total gifts = Initial gifts + Gifts from friends Total gifts = 69 + 26 = <<69+26=95>>95 Therefore, Mark has a total of 95 gifts. ### Answer: 95
Expected answer: 95
Correct? Yes
Problem: An author is writing a mini novel. She managed to write 74 pages in the first session. Energized by the progress, she decides to write 16 more pages. How many pages has she written in total?
Claude-3 Opus:
Let's organize the information we have: * The author wrote 74 pages in the first session. * She then decided to write 16 more pages. To find the total number of pages she has written, we need to add the number of pages from the first session and the additional pages she wrote. Total pages = Pages from the first session + Additional pages Total pages = 74 + 16 Total pages = 90 Therefore, the author has written a total of 90 pages. ### Answer: 90
Expected answer: 90
Correct? Yes
Problem: The author, after finishing her writing session, felt inspired and decided to add a one-page introduction to her mini novel. How many pages does the novel have now including the introduction?
Claude-3 Opus:
Great! Let's solve this problem step by step. We know that: * The author had written 90 pages before adding the introduction. * She decided to add a one-page introduction to her mini novel. To find the total number of pages the novel has now, we need to add the number of pages she had written before and the one-page introduction. Total pages now = Previous total pages + Introduction page Total pages now = 90 + 1 Total pages now = 91 So, after adding the one-page introduction, the author's mini novel now has 91 pages in total. ### Answer: 91
Expected answer: 91
Correct? Yes
Problem: After reflecting on her work, the author decides that she should have originally written 79 pages in the first session instead of 74. Keeping the additional 16 pages she wrote after, how many total pages of the novel does she have before adding the one-page introduction?
Claude-3 Opus:
Okay, let's update the information based on the author's reflection: * The author should have written 79 pages in the first session instead of 74. * She still wrote an additional 16 pages after the first session. * She plans to add a one-page introduction, but we need to calculate the total pages before adding the introduction. To find the updated total number of pages she has written before adding the introduction, we need to add the revised number of pages from the first session and the additional pages she wrote. Total pages before introduction = Revised pages from the first session + Additional pages Total pages before introduction = 79 + 16 Total pages before introduction = 95 Therefore, the author has written a total of 95 pages before adding the one-page introduction. ### Answer: 95
Expected answer: 95
Correct? Yes
Problem: In a large hotel, there are 60 rooms. The hotel decides to expand and add an additional 22 rooms. How many rooms does the hotel have after the expansion?
Claude-3 Opus:
To solve this problem, let's organize the given information: * The hotel initially has 60 rooms. * The hotel adds 22 more rooms during the expansion. To find the total number of rooms after the expansion, we need to add the initial number of rooms and the number of rooms added: Total rooms after expansion = Initial rooms + Added rooms Total rooms after expansion = 60 + 22 Total rooms after expansion = 82 Therefore, after the expansion, the hotel has 82 rooms. ### Answer: 82
Expected answer: 82
Correct? Yes
Problem: After the initial expansion, the hotel owner plans to make an additional special expansion by adding more rooms, but less than the previous expansion. If the hotel owner added 11 rooms instead of 22 rooms during the first expansion, how many rooms would the hotel have after the first expansion?
Claude-3 Opus:
Let's organize the new information: * The hotel initially has 60 rooms. * In this scenario, the hotel owner adds 11 rooms during the first expansion instead of 22. To find the total number of rooms after the first expansion with 11 additional rooms, we need to add the initial number of rooms and the new number of rooms added: Total rooms after first expansion = Initial rooms + Added rooms Total rooms after first expansion = 60 + 11 Total rooms after first expansion = 71 Therefore, if the hotel owner added 11 rooms instead of 22 during the first expansion, the hotel would have 71 rooms after the first expansion. ### Answer: 71
Expected answer: 71
Correct? Yes
Problem: There were 70 children in the park. Some of them left, leaving only 27 children. Later, 31 more kids left the park. How many children are left in the park now?
Claude-3 Opus:
Let's solve this problem step by step: 1. Initially, there were 70 children in the park. 2. Some children left, leaving only 27 children in the park. 3. We don't need to calculate how many children left in this step, as we are given the remaining number of children. 4. Later, 31 more children left the park. 5. To find the number of children left in the park now, we need to subtract 31 from the remaining 27 children. 27 - 31 = -4 However, it's not possible to have a negative number of children. This means that the question doesn't provide a realistic scenario. All the children had already left the park before the additional 31 children were said to have left. Therefore, there are 0 children left in the park. ### Answer: 0
Expected answer: 12
Correct? No
Problem: In a beehive, there is a total of 48 bees. One day, 29 drones left the beehive for collecting pollen. How many bees are left in the beehive?
Claude-3 Opus:
To solve this problem, let's organize the given information: * There are 48 bees in total in the beehive. * 29 drones left the beehive to collect pollen. To find out how many bees are left in the beehive, we need to subtract the number of bees that left from the total number of bees. Bees left in the beehive = Total bees - Bees that left Bees left in the beehive = 48 - 29 Bees left in the beehive = <<48-29=19>>19 Therefore, there are 19 bees left in the beehive. ### Answer: 19
Expected answer: 19
Correct? Yes
Problem: Instead of the original total of 48 bees in the beehive, let's consider that initially there were 89 bees. Then 29 drone bees left for a pollen gathering mission. How many bees were left in the beehive after the drones departed in this case?
Claude-3 Opus:
Great! Let's solve this problem with the updated information. Given: * Initially, there were 89 bees in the beehive. * 29 drone bees left the beehive for a pollen gathering mission. To find the number of bees left in the beehive after the drones departed, we need to subtract the number of drones that left from the initial number of bees in the beehive. Bees left in the beehive = Initial number of bees - Drones that left Bees left in the beehive = 89 - 29 Bees left in the beehive = <<89-29=60>>60 So, after the 29 drone bees left for the pollen gathering mission, there were 60 bees left in the beehive. ### Answer: 60
Expected answer: 60
Correct? Yes
Problem: A school initially had 35 erasers. But after a few classes and some craft projects, 22 erasers got used up. How many erasers are left at the school?
Claude-3 Opus:
Let's solve this problem step by step: 1. Understand the given information: * The school initially had 35 erasers. * 22 erasers were used up during classes and craft projects. 2. To find the number of erasers left, we need to subtract the used erasers from the initial number of erasers: * Erasers left = Initial number of erasers - Used erasers * Erasers left = 35 - 22 * Erasers left = 13 Therefore, the school has 13 erasers left. ### Answer: 13
Expected answer: 13
Correct? Yes
Problem: A school initially had 35 erasers. But after a few classes and some craft projects, 22 erasers got used up. How many erasers are left at the school? Then, a generous donor contributed an additional 39 erasers to the school. What is the total number of erasers at the school now?
Claude-3 Opus:
Great! Let's solve this problem step by step. We'll first find out how many erasers were left after some were used up, and then we'll add the donated erasers to get the total number of erasers at the school now. Given: - The school initially had 35 erasers. - 22 erasers were used up during classes and craft projects. - A generous donor contributed an additional 39 erasers to the school. Step 1: Calculate the number of erasers left after some were used up. Erasers left = Initial number of erasers - Used erasers Erasers left = 35 - 22 = 13 Step 2: Add the donated erasers to the remaining erasers to get the total number of erasers at the school now. Total erasers now = Erasers left + Donated erasers Total erasers now = 13 + 39 = 52 Therefore, the school now has a total of 52 erasers. ### Answer: 52
Expected answer: 52
Correct? Yes
Problem: In the earlier scenario, the school initially had 35 erasers. But what if the school had originally started with 58 erasers instead? After a few classes and some craft projects, 22 erasers got used up. How many erasers would be left at the school in this case?
Claude-3 Opus:
Great! Let's solve this problem with the updated information. Given: - The school initially had 58 erasers. - 22 erasers were used up during classes and craft projects. To find the number of erasers left, we need to subtract the used erasers from the initial number of erasers: Erasers left = Initial number of erasers - Used erasers Erasers left = 58 - 22 Erasers left = 36 Therefore, if the school had originally started with 58 erasers and 22 erasers got used up, there would be 36 erasers left at the school. ### Answer: 36
Expected answer: 36
Correct? Yes
Problem: There were 75 beds in a large hostel. Over time, 55 of them became old and were removed for refurbishment. How many beds are currently available in the hostel now?
Claude-3 Opus:
To solve this problem, let's organize the given information: * The hostel initially had 75 beds. * 55 beds were removed for refurbishment. To find out how many beds are currently available, we need to subtract the number of beds removed from the total number of beds. Beds currently available = Total beds - Beds removed Beds currently available = 75 - 55 = <<75-55=20>>20 Therefore, there are currently 20 beds available in the hostel. ### Answer: 20
Expected answer: 20
Correct? Yes
Problem: After the refurbishment, a generous sponsor donated an additional set of beds to the hostel. The number of these new beds plus the remaining beds equals the original number, 75. How many beds were donated by the sponsor?
Claude-3 Opus:
Great! Let's solve this problem step by step. We know that: * The hostel originally had 75 beds. * After removing 55 beds for refurbishment, there were 20 beds remaining (from the previous question). * The sponsor donated an additional set of beds. * The number of new beds plus the remaining beds equals the original number of beds, which is 75. Let's find the number of beds donated by the sponsor. Remaining beds + Donated beds = Original number of beds 20 + Donated beds = 75 To find the number of donated beds, we subtract the remaining beds from both sides of the equation: Donated beds = 75 - 20 Donated beds = <<75-20=55>>55 Therefore, the generous sponsor donated 55 beds to the hostel. ### Answer: 55
Expected answer: 55
Correct? Yes
Problem: On Monday, the speed of the wind was measured to be 71 kilometers per hour. The speed of the wind then decreased by 53 kilometers per hour. What was the speed of the wind after the decrease?
Claude-3 Opus:
To find the speed of the wind after the decrease, we need to subtract the decrease in speed from the initial speed. Given: - The initial speed of the wind was 71 kilometers per hour. - The speed of the wind decreased by 53 kilometers per hour. Calculation: Speed of the wind after the decrease = Initial speed - Decrease in speed Speed of the wind after the decrease = 71 - 53 = 18 kilometers per hour Therefore, the speed of the wind after the decrease was 18 kilometers per hour. ### Answer: 18 kilometers per hour.
Expected answer: 18
Correct? Yes
Problem: Instead of a decrease of 53 kilometers per hour, what would the speed of the wind have been if it had only decreased by 45 kilometers per hour?
Claude-3 Opus:
Great question! Let's solve this problem using the same method as before, but with the new decrease in speed. Given: - The initial speed of the wind was 71 kilometers per hour. - The speed of the wind decreased by 45 kilometers per hour (instead of 53). Calculation: Speed of the wind after the decrease = Initial speed - Decrease in speed Speed of the wind after the decrease = 71 - 45 = 26 kilometers per hour Therefore, if the speed of the wind had decreased by 45 kilometers per hour instead of 53, the new speed of the wind would have been 26 kilometers per hour. ### Answer: 26 kilometers per hour.
Expected answer: 26
Correct? Yes
Problem: Oliver has 18 oranges. He visits the orange grove and collects an additional 44 oranges. How many oranges does Oliver have now?
Claude-3 Opus:
Let's solve this problem step by step: 1. Understand the given information: * Oliver initially has 18 oranges. * He collects an additional 44 oranges from the orange grove. 2. To find the total number of oranges Oliver has now, we need to add the oranges he had initially to the oranges he collected from the grove. 3. Add the initial oranges and the collected oranges: * Total oranges = Initial oranges + Collected oranges * Total oranges = 18 + 44 * Total oranges = 62 Therefore, after collecting oranges from the grove, Oliver now has 62 oranges in total. ### Answer: 62
Expected answer: 62
Correct? Yes
Problem: Oliver has 18 oranges. He visits the orange grove and collects an additional 44 oranges. Unfortunately, while trying to carry his oranges home, he loses 50 of them along the way. How many oranges does Oliver have left now?
Claude-3 Opus:
Let's solve this problem step by step: 1. Understand the given information: * Oliver initially has 18 oranges. * He collects an additional 44 oranges from the orange grove. * On his way home, he loses 50 oranges. 2. First, let's find the total number of oranges Oliver had before losing some: * Total oranges before losing = Initial oranges + Collected oranges * Total oranges before losing = 18 + 44 * Total oranges before losing = 62 3. Now, let's subtract the number of oranges he lost from the total oranges he had: * Oranges left = Total oranges before losing - Oranges lost * Oranges left = 62 - 50 * Oranges left = 12 Therefore, after losing 50 oranges on his way home, Oliver now has 12 oranges left. ### Answer: 12
Expected answer: 12
Correct? Yes
Problem: Previously we considered a scenario where Oliver initially had 18 oranges. Now imagine if initially, Oliver had 36 oranges instead. He visits the same orange grove and collects an additional 44 oranges. How many oranges does Oliver have now?
Claude-3 Opus:
Okay, let's solve this problem using the same approach as before, but with the new initial number of oranges: 1. Understand the given information: * In this new scenario, Oliver initially has 36 oranges. * He collects an additional 44 oranges from the orange grove. 2. To find the total number of oranges Oliver has now, we need to add the oranges he had initially to the oranges he collected from the grove. 3. Add the initial oranges and the collected oranges: * Total oranges = Initial oranges + Collected oranges * Total oranges = 36 + 44 * Total oranges = 80 Therefore, in this scenario, after collecting oranges from the grove, Oliver now has 80 oranges in total. ### Answer: 80
Expected answer: 80
Correct? Yes
Problem: Tommy has a collection of 70 toy cars. One day, he decides to give 22 of his toy cars to his younger brother. How many toy cars does Tommy have left in his collection?
Claude-3 Opus:
Let's solve this problem step by step: 1. Understand the given information: * Tommy has a collection of 70 toy cars. * He gives 22 of his toy cars to his younger brother. 2. To find out how many toy cars Tommy has left, we need to subtract the number of cars he gave away from his total collection: * Toy cars left = Total toy cars - Toy cars given away * Toy cars left = 70 - 22 * Toy cars left = <<70-22=48>>48 So, after giving 22 toy cars to his younger brother, Tommy has 48 toy cars left in his collection. ### Answer: 48
Expected answer: 48
Correct? Yes
Problem: After giving 22 of his toy cars to his younger brother, Tommy visits a toy store and discovers a toy car that he must have. It costs 61 toy cars for a trade. Does Tommy have enough toy cars left to trade for the new one? If not, how many more does he need?
Claude-3 Opus:
Let's continue from the previous problem and solve this one step by step: 1. Understand the given information: * Tommy has 48 toy cars left in his collection after giving 22 to his younger brother. * The toy store offers a trade: 61 toy cars for a new car that Tommy wants. 2. Compare the number of toy cars Tommy has with the number of toy cars needed for the trade: * Tommy has 48 toy cars. * The trade requires 61 toy cars. * 48 < 61, so Tommy does not have enough toy cars to make the trade. 3. Calculate how many more toy cars Tommy needs to make the trade: * Additional toy cars needed = Trade requirement - Tommy's current toy cars * Additional toy cars needed = 61 - 48 * Additional toy cars needed = <<61-48=13>>13 Therefore, Tommy does not have enough toy cars to trade for the new one. He needs 13 more toy cars to make the trade. ### Answer: Tommy needs 13 more toy cars to trade for the new one.
Expected answer: 13
Correct? Yes
Problem: Instead of giving 22 toy cars to his younger brother, Tommy decides to only give away 17 of his toy cars. How many toy cars does Tommy have left in his collection now?
Claude-3 Opus:
Okay, let's solve this problem with the updated information: 1. Understand the given information: * Tommy has a collection of 70 toy cars. * He decides to give 17 of his toy cars to his younger brother (instead of 22). 2. To find out how many toy cars Tommy has left, we need to subtract the number of cars he gave away from his total collection: * Toy cars left = Total toy cars - Toy cars given away * Toy cars left = 70 - 17 * Toy cars left = <<70-17=53>>53 So, after giving 17 toy cars to his younger brother, Tommy has 53 toy cars left in his collection. ### Answer: 53
Expected answer: 53
Correct? Yes
Problem: The Strawberry farm was initially home to 87 Strawberry plants. However, some of them were affected by a disease and 41 plants were lost. Jacob added 8 new Strawberry plants more. How many Strawberry plants are there on the farm now?
Claude-3 Opus:
Let's organize the information we have: * Initially, there were 87 Strawberry plants on the farm. * 41 plants were lost due to a disease. * Jacob added 8 new Strawberry plants. To find the current number of Strawberry plants on the farm, we need to: 1. Subtract the number of plants lost from the initial number of plants. 2. Add the number of new plants to the remaining plants. Step 1: 87 - 41 = 46 After the disease, there were 46 Strawberry plants left on the farm. Step 2: 46 + 8 = 54 After Jacob added 8 new plants, the total number of Strawberry plants on the farm is now 54. ### Answer: 54
Expected answer: 54
Correct? Yes
Problem: Revisiting the first scenario, suppose instead of 41, only 22 Strawberry plants were affected by the disease in the Strawberry farm originally home to 87 plants. Now, consider Jacob still adding 8 new Strawberry plants to the farm. How many Strawberry plants are there on the farm now?
Claude-3 Opus:
Let's organize the updated information: * Initially, there were 87 Strawberry plants on the farm. * 22 plants were lost due to a disease. * Jacob added 8 new Strawberry plants. To find the current number of Strawberry plants on the farm, we need to: 1. Subtract the number of plants lost from the initial number of plants. 2. Add the number of new plants to the remaining plants. Step 1: 87 - 22 = 65 After the disease, there were 65 Strawberry plants left on the farm. Step 2: 65 + 8 = 73 After Jacob added 8 new plants, the total number of Strawberry plants on the farm is now 73. ### Answer: 73
Expected answer: 73
Correct? Yes
Problem: A scientist discovered a new dinosaur species. He found 34 of them. Soon after, he found another group of the same kind of dinosaurs that also had 34. How many dinosaurs of this new species did the scientist find in total?
Claude-3 Opus:
Let's solve this problem step by step: 1. The scientist first discovered a group of 34 dinosaurs of the new species. 2. Later, he found another group of the same species, which also had 34 dinosaurs. 3. To find the total number of dinosaurs, we need to add the number of dinosaurs in both groups. Total dinosaurs = Dinosaurs in the first group + Dinosaurs in the second group Total dinosaurs = 34 + 34 Total dinosaurs = 68 Therefore, the scientist found a total of 68 dinosaurs of the new species. ### Answer: 68
Expected answer: 68
Correct? Yes
Problem: After discovering the initial groups of the new dinosaur species, the scientist found an additional nest. There were 6 more dinosaurs in this nest. How many dinosaurs of this new species has the scientist found in total now?
Claude-3 Opus:
Great! Let's solve this problem step by step, using the information from the previous question. Given: - The scientist initially found two groups of 34 dinosaurs each, making a total of 68 dinosaurs. - The scientist then discovered an additional nest with 6 more dinosaurs of the same species. Step 1: Calculate the total number of dinosaurs found in the additional nest. Additional dinosaurs = 6 Step 2: Add the number of dinosaurs found in the additional nest to the total number of dinosaurs found initially. Total dinosaurs = Initial total + Additional dinosaurs Total dinosaurs = 68 + 6 Total dinosaurs = 74 Therefore, the scientist has now found a total of 74 dinosaurs of the new species. ### Answer: 74
Expected answer: 74
Correct? Yes
Problem: In the previous problem, the scientist initially discovered groups of 34 dinosaurs each. Now consider the scenario where instead of finding 34 in each group, the scientist found 37 dinosaurs in each group. How many dinosaurs of this new species would the scientist have found in total in this case?
Claude-3 Opus:
Great! Let's solve this problem using the same approach as before, but with the updated number of dinosaurs in each group. Given: - The scientist found two groups of dinosaurs of the new species. - Each group has 37 dinosaurs. To find the total number of dinosaurs, we need to add the number of dinosaurs in both groups. Total dinosaurs = Dinosaurs in the first group + Dinosaurs in the second group Total dinosaurs = 37 + 37 Total dinosaurs = 74 Therefore, if the scientist found 37 dinosaurs in each group, the total number of dinosaurs of the new species would be 74. ### Answer: 74
Expected answer: 74
Correct? Yes
Problem: The beach had 82 brightly colored balls spread around today. As the day ended, 28 balls were lost or damaged leaving a certain number intact. How many beach balls are remaining, undamaged?
Claude-3 Opus:
Let's organize the information we have: * There were 82 brightly colored balls at the beach today. * 28 balls were lost or damaged by the end of the day. * We need to find the number of beach balls that are remaining and undamaged. To find the number of remaining, undamaged beach balls, we need to subtract the number of lost or damaged balls from the total number of balls: Remaining balls = Total balls - Lost or damaged balls Remaining balls = 82 - 28 = 54 Therefore, there are 54 beach balls remaining, undamaged. ### Answer: 54
Expected answer: 54
Correct? Yes
Problem: The initial count of beach balls might have been a little off. It turns out that the number of lost or damaged balls was not 28 but actually 60. If that is the case, how many beach balls would be left undamaged on the beach?
Claude-3 Opus:
Okay, let's update our information: * There were 82 brightly colored balls at the beach today. * 60 balls were lost or damaged by the end of the day (instead of 28). * We need to find the number of beach balls that are remaining and undamaged. Using the same approach as before, we can calculate the number of remaining, undamaged beach balls by subtracting the number of lost or damaged balls from the total number of balls: Remaining balls = Total balls - Lost or damaged balls Remaining balls = 82 - 60 = 22 Therefore, if 60 beach balls were lost or damaged, there would be 22 beach balls left undamaged on the beach. ### Answer: 22
Expected answer: 22
Correct? Yes
Problem: A wizard has collected 53 magical artifacts over his lifetime. He decides to give out some of them to apprentice wizards. If he gives out 12 artifacts, how many will he have left?
Claude-3 Opus:
Let's solve this problem step by step: 1. The wizard has collected 53 magical artifacts in total. 2. He decides to give out 12 artifacts to apprentice wizards. 3. To find out how many artifacts he will have left, we need to subtract the number of artifacts he gives out from the total number of artifacts he has. So, the number of artifacts left = Total artifacts - Artifacts given out <<53-12=41>> Therefore, after giving out 12 artifacts, the wizard will have 41 artifacts left. ### Answer: 41
Expected answer: 41
Correct? Yes
Problem: After giving out 12 artifacts to apprentice wizards, the wizard discovers a hidden chamber in his magical lair, revealing an additional 4 artifacts he had forgotten about. How many artifacts does he have now?
Claude-3 Opus:
Great! Let's continue from where we left off in the previous problem. Given: - The wizard had 41 artifacts left after giving out 12 to apprentice wizards. - He discovered an additional 4 artifacts in a hidden chamber. To find the total number of artifacts the wizard has now, we need to add the number of artifacts he had left to the number of newly discovered artifacts. Total artifacts now = Artifacts left + Newly discovered artifacts <<41+4=45>> So, after discovering the additional 4 artifacts, the wizard now has a total of 45 artifacts. ### Answer: 45
Expected answer: 45
Correct? Yes
Problem: In the hidden chamber he found, the wizard initially thought there were 15 artifacts. However, they were stacked haphazardly, and upon recounting, he realized he made a mistake and there were actually 12 artifacts, not 15. How many fewer artifacts were there in the hidden chamber than he initially thought?
Claude-3 Opus:
Let's solve this problem step by step: 1. The wizard initially thought there were 15 artifacts in the hidden chamber. 2. After recounting, he realized there were actually 12 artifacts. 3. To find out how many fewer artifacts there were than he initially thought, we need to subtract the actual number of artifacts from the number he initially thought there were. So, the number of fewer artifacts = Initially thought - Actual number <<15-12=3>> Therefore, there were 3 fewer artifacts in the hidden chamber than the wizard initially thought. ### Answer: 3
Expected answer: 3
Correct? Yes
Problem: Maria has a box that used to contain 68 rings. One day, she lost some of the rings and now there are only 26 rings remaining in the box. How many rings did Maria lose?
Claude-3 Opus:
Let's solve this problem step by step: 1. Understand the given information: * Maria's box originally contained 68 rings. * After losing some rings, there are now only 26 rings in the box. 2. To find the number of rings Maria lost, we need to subtract the current number of rings from the original number of rings: * Number of lost rings = Original number of rings - Current number of rings * Number of lost rings = 68 - 26 * Number of lost rings = <<68-26=42>>42 Therefore, Maria lost 42 rings. ### Answer: 42
Expected answer: 42
Correct? Yes
Problem: The moon is 40 light years away from an alien planet. A spaceship travels 18 light years towards the moon. How many light years is it now from the moon?
Claude-3 Opus:
Let's solve this step by step: 1. Understand the given information: * The moon is 40 light years away from the alien planet. * The spaceship travels 18 light years towards the moon. 2. To find the distance between the spaceship and the moon after traveling 18 light years, we need to subtract the traveled distance from the initial distance: * Remaining distance = Initial distance - Traveled distance * Remaining distance = 40 light years - 18 light years * Remaining distance = 40 - 18 = 22 light years Therefore, after traveling 18 light years towards the moon, the spaceship is now 22 light years away from the moon. ### Answer: 22 light years
Expected answer: 22
Correct? Yes
Problem: The space agency decides that in a hypothetical scenario, the moon was actually only 27 light years away from the alien planet. If the spaceship still traveled 18 light years towards the moon in this scenario, how many light years would it be from the moon then?
Claude-3 Opus:
Great! Let's solve this problem with the updated information. Given: - In this hypothetical scenario, the moon is 27 light years away from the alien planet. - The spaceship still travels 18 light years towards the moon. To find the distance between the spaceship and the moon after traveling 18 light years, we need to subtract the traveled distance from the initial distance: Remaining distance = Initial distance - Traveled distance Remaining distance = 27 light years - 18 light years Remaining distance = 27 - 18 = 9 light years Therefore, in this hypothetical scenario, after traveling 18 light years towards the moon, the spaceship would be 9 light years away from the moon. ### Answer: 9 light years
Expected answer: 9
Correct? Yes
Problem: At a window factory, there are 41 windows made in the morning. But 21 of them were found to be defective and had to be discarded. How many windows are left in the end?
Claude-3 Opus:
Let's solve this problem step by step: 1. Understand the given information: * The factory made 41 windows in the morning. * 21 of those windows were defective and had to be discarded. 2. To find the number of windows left, we need to subtract the defective windows from the total windows made: * Windows left = Total windows made - Defective windows * Windows left = 41 - 21 * Windows left = <<41-21=20>>20 Therefore, after discarding the defective windows, there are 20 windows left. ### Answer: 20
Expected answer: 20
Correct? Yes
Problem: The window factory who earlier made 41 windows, out of which 21 were defective, received an urgent order for 86 windows. After using the windows they had left, how many more windows does the factory need to produce to fulfill the order?
Claude-3 Opus:
Let's organize the information we have: * The factory initially made 41 windows. * 21 of those windows were defective and discarded. * The factory received an urgent order for 86 windows. * They will use the remaining windows to fulfill the order. Now, let's solve the problem step by step: 1. Find the number of windows left after discarding the defective ones: * Windows left = Total windows made - Defective windows * Windows left = 41 - 21 = <<41-21=20>>20 2. Calculate the number of additional windows needed to fulfill the order: * Additional windows needed = Order quantity - Windows left * Additional windows needed = 86 - 20 = <<86-20=66>>66 So, the factory needs to produce 66 more windows to fulfill the urgent order. ### Answer: 66
Expected answer: 66
Correct? Yes
Problem: In the previous situation, the window factory had originally made 76 windows instead of 41. After discarding the defective ones as before, how many windows would be left now?
Claude-3 Opus:
Okay, let's solve this problem with the updated information: 1. Understand the new given information: * The factory made 76 windows in the morning (instead of 41). * 21 of those windows were defective and had to be discarded (same as before). 2. To find the number of windows left, we need to subtract the defective windows from the total windows made: * Windows left = Total windows made - Defective windows * Windows left = 76 - 21 * Windows left = <<76-21=55>>55 Therefore, after discarding the defective windows, there are 55 windows left in this updated situation. ### Answer: 55
Expected answer: 55
Correct? Yes
Problem: A gardener has 88 beautiful roses in the garden. One morning, he finds that some of them are missing and now there are only 84 roses left. How many of the roses are missing from the garden?
Claude-3 Opus:
Let's organize the information we have: * The gardener originally had 88 roses in the garden. * After some roses went missing, there are now 84 roses left. To find out how many roses are missing, we need to subtract the number of roses left from the original number of roses. Missing roses = Original number of roses - Number of roses left Missing roses = 88 - 84 Missing roses = <<88-84=4>>4 Therefore, 4 roses are missing from the garden. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: In the same garden, the gardener later checked his dahlias. Initially there were 88 dahlias but then he found that some daisies were missing as well, leaving only 75 dahlias left in the garden. How many dahlias are missing from the garden?
Claude-3 Opus:
Let's organize the information we have: * The gardener originally had 88 dahlias in the garden. * After some dahlias went missing, there are now 75 dahlias left. To find out how many dahlias are missing, we need to subtract the number of dahlias left from the original number of dahlias. Missing dahlias = Original number of dahlias - Number of dahlias left Missing dahlias = 88 - 75 Missing dahlias = <<88-75=13>>13 Therefore, 13 dahlias are missing from the garden. ### Answer: 13
Expected answer: 13
Correct? Yes
Problem: A helicopter piloting school has 19 students to start with. The school enrolls an equal number of new students during the next intake. How many students are there in the school now?
Claude-3 Opus:
Let's solve this step by step: 1. Understand the given information: * The helicopter piloting school initially has 19 students. * The school enrolls an equal number of new students during the next intake. 2. To find the total number of students after the new intake, we need to: * Take the initial number of students (19) * Add the number of new students enrolled (which is equal to the initial number of students) 3. Calculate the number of new students enrolled: * New students enrolled = Initial number of students = 19 4. Calculate the total number of students after the new intake: * Total students = Initial students + New students * Total students = 19 + 19 = 38 Therefore, after the new intake, there are 38 students in the helicopter piloting school. ### Answer: 38
Expected answer: 38
Correct? Yes
Problem: As a follow-up, the helicopter piloting school had initially wanted to enroll a total of 93 students. However, after enrolling the new batch, they are short of some students. How many more students does the school need to reach its target of 93 students?
Claude-3 Opus:
Great! Let's solve this follow-up question step by step. Given: - The school initially had 19 students. - They enrolled an equal number of new students, bringing the total to 38 students. - The school's target is to have 93 students in total. Step 1: Determine the number of additional students needed to reach the target. - Additional students needed = Target number of students - Current number of students - Additional students needed = 93 - 38 = 55 Therefore, the helicopter piloting school needs to enroll 55 more students to reach its target of 93 students. ### Answer: 55
Expected answer: 55
Correct? Yes
Problem: As a follow-up, let's change the initial number of students at the helicopter piloting school. Instead of 19 students, what if we started with 30 students and enrolled an equal number of new students during the next intake? In this scenario, how many students would there be in the school now?
Claude-3 Opus:
Great! Let's solve this problem using the same steps as before, but with the updated initial number of students. Given: - The helicopter piloting school initially has 30 students. - The school enrolls an equal number of new students during the next intake. Step 1: Determine the number of new students enrolled. New students enrolled = Initial number of students = 30 Step 2: Calculate the total number of students after the new intake. Total students = Initial students + New students Total students = 30 + 30 = 60 Therefore, if the helicopter piloting school started with 30 students and enrolled an equal number of new students during the next intake, there would be 60 students in the school now. ### Answer: 60
Expected answer: 60
Correct? Yes
Problem: In a field, there are 25 bees on the roses and another 25 bees on the daisies. Meanwhile, in a nearby cluster of trees, there are 53 bees in total. After some time, the number of bees in the cluster of trees equals the number of bees in the field subtracted from the original number in the cluster. How many bees are left in the cluster of trees after some time?
Claude-3 Opus:
Let's organize the information and solve the problem step by step: 1. Number of bees on the roses: 25 2. Number of bees on the daisies: 25 3. Total number of bees in the field: 25 + 25 = 50 4. Original number of bees in the cluster of trees: 53 After some time, the number of bees in the cluster of trees equals the original number in the cluster (53) subtracted by the number of bees in the field (50). Bees left in the cluster of trees = Original number in the cluster - Number of bees in the field Bees left in the cluster of trees = 53 - 50 = 3 ### Answer: 3
Expected answer: 3
Correct? Yes
Problem: Let's revisit the previous situation where bees were settling in a cluster of trees. Suppose we made a mistake earlier and wrongly counted the bees. In fact, originally, there were 72 bees in the cluster of trees. Now, similar to the previous situation, after some time, the number of bees in the cluster of trees equals the number of bees from the roses and daisies subtracted from this correct number in the cluster. Given this correction, how many bees are now left in the cluster of trees?
Claude-3 Opus:
Let's organize the updated information and solve the problem step by step: 1. Number of bees on the roses: 25 2. Number of bees on the daisies: 25 3. Total number of bees in the field: 25 + 25 = 50 4. Corrected original number of bees in the cluster of trees: 72 After some time, the number of bees in the cluster of trees equals the corrected original number in the cluster (72) subtracted by the number of bees in the field (50). Bees left in the cluster of trees = Corrected original number in the cluster - Number of bees in the field Bees left in the cluster of trees = 72 - 50 = 22 ### Answer: 22
Expected answer: 22
Correct? Yes
Problem: Sam has a total of 58 keys on his piano, but 33 of them are broken and can't be used. He finds a way to fix some keys and adds 14 more functional keys to his piano. How many keys on the piano can Sam play after he adds the new ones?
Claude-3 Opus:
Let's organize the information we have: * Sam's piano has a total of 58 keys. * 33 of the keys are broken and can't be used. * Sam fixes some keys and adds 14 more functional keys. To find out how many keys Sam can play after adding the new ones, we need to: 1. Find the number of working keys before adding the new ones. 2. Add the 14 new functional keys to the working keys. Step 1: Find the number of working keys before adding the new ones * Total keys = 58 * Broken keys = 33 * Working keys = Total keys - Broken keys * Working keys = 58 - 33 = 25 Step 2: Add the 14 new functional keys to the working keys * New working keys = Old working keys + Added functional keys * New working keys = 25 + 14 = 39 Therefore, after adding the new keys, Sam can play 39 keys on his piano. ### Answer: 39
Expected answer: 39
Correct? Yes
Problem: After adding the new keys and playing for a while, Sam decides to expand his music repertoire and needs to play some songs which require a total of 56 keys. How many more keys does he need to fix on his piano in order to play these songs?
Claude-3 Opus:
Great! Let's continue from where we left off. We know that after adding the new keys, Sam has 39 working keys on his piano. Now, he wants to play songs that require 56 keys. Given: * Sam currently has 39 working keys on his piano. * He needs a total of 56 keys to play the new songs. To find out how many more keys Sam needs to fix, we can: 1. Calculate the difference between the required keys and the current working keys. Step 1: Calculate the difference between the required keys and the current working keys * Additional keys needed = Required keys - Current working keys * Additional keys needed = 56 - 39 = 17 Therefore, Sam needs to fix 17 more keys on his piano to have a total of 56 working keys, which will allow him to play the new songs. ### Answer: 17
Expected answer: 17
Correct? Yes
Problem: A manufacturer produces 52 binoculars. Unfortunately, due to a production error, 27 binoculars were defective and had to be removed from the stock. The manufacturer managed to produce the same number of binoculars the next day to make up for the losses. After this production, how many binoculars does the manufacturer have now?
Claude-3 Opus:
Let's solve this problem step by step: 1. Initially, the manufacturer produced 52 binoculars. 2. Due to a production error, 27 binoculars were defective and had to be removed from the stock. * Remaining binoculars = 52 - 27 = 25 3. The next day, the manufacturer produced the same number of binoculars as the initial production to make up for the losses. * Binoculars produced the next day = 52 4. Now, the total number of binoculars the manufacturer has is the sum of the remaining binoculars from the first day and the binoculars produced on the second day. * Total binoculars = Remaining binoculars + Binoculars produced the next day * Total binoculars = 25 + 52 = 77 ### Answer: 77
Expected answer: 50
Correct? No
Problem: A truck with a capacity to carry 93 oranges just got a delivery request from a local grocery store. On its way, it dropped 46 oranges due to a small hole in the storage. How many oranges does the truck have now to deliver to the grocery store?
Claude-3 Opus:
Let's organize the information we have: * The truck can carry 93 oranges. * On the way to the grocery store, the truck dropped 46 oranges. To find out how many oranges the truck has now, we need to subtract the dropped oranges from the total capacity: Remaining oranges = Truck capacity - Dropped oranges Remaining oranges = 93 - 46 = <<93-46=47>>47 Therefore, the truck has 47 oranges to deliver to the grocery store. ### Answer: 47
Expected answer: 47
Correct? Yes
Problem: The truck originally had a capacity to carry 95 oranges instead of 93. Just like earlier, it dropped 46 oranges due to the storage hole. In this case, how many oranges does the truck have now to deliver to the grocery store?
Claude-3 Opus:
I apologize for the confusion. Let's solve the problem with the updated information. Given: * The truck can carry 95 oranges. * On the way to the grocery store, the truck dropped 46 oranges. To find out how many oranges the truck has now, we need to subtract the dropped oranges from the total capacity: Remaining oranges = Truck capacity - Dropped oranges Remaining oranges = 95 - 46 = <<95-46=49>>49 Therefore, with the updated truck capacity, the truck has 49 oranges to deliver to the grocery store. ### Answer: 49
Expected answer: 49
Correct? Yes
Problem: A sunglasses store has 68 pairs of sunglasses on display. After a busy day, the store manager realizes that 1 pair has been sold. How many pairs of sunglasses are there left on display at the end of the day?
Claude-3 Opus:
Let's solve this problem step by step: 1. Understand the given information: * The store has 68 pairs of sunglasses on display at the beginning of the day. * During the day, 1 pair of sunglasses is sold. 2. To find the number of sunglasses left on display, we need to subtract the number of sold sunglasses from the initial number of sunglasses: * Sunglasses left = Initial number of sunglasses - Sold sunglasses * Sunglasses left = 68 - 1 * Sunglasses left = 67 Therefore, at the end of the day, there are 67 pairs of sunglasses left on display. ### Answer: 67
Expected answer: 67
Correct? Yes
Problem: Following up from the previous scenario, a new sunglasses store opened, which initially had 41 pairs of sunglasses on display. After the first day, the store manager realizes that just like in the other store, 1 pair has been sold. Considering the new inventory, how many pairs of sunglasses are left on display at this store at the end of its first day?
Claude-3 Opus:
Great! Let's solve this problem for the new sunglasses store using the same approach as before. Given: - The new store has 41 pairs of sunglasses on display at the beginning of the day. - During the day, 1 pair of sunglasses is sold. To find the number of sunglasses left on display at the new store, we need to subtract the number of sold sunglasses from the initial number of sunglasses: Sunglasses left = Initial number of sunglasses - Sold sunglasses Sunglasses left = 41 - 1 Sunglasses left = 40 Therefore, at the end of the first day, there are 40 pairs of sunglasses left on display at the new store. ### Answer: 40
Expected answer: 40
Correct? Yes
Problem: In a toy shop, there are 46 stuffed animals on display. The shop owner decides to add 35 more stuffed animals to the display from his storage. How many stuffed animals are on display after the shop owner adds the new ones?
Claude-3 Opus:
Let's solve this problem step by step: 1. Understand the given information: * Initially, there are 46 stuffed animals on display. * The shop owner adds 35 more stuffed animals to the display. 2. To find the total number of stuffed animals on display after adding the new ones, we need to add the initial number of stuffed animals to the number of added stuffed animals. 3. Add the stuffed animals: * Total stuffed animals = Initial stuffed animals + Added stuffed animals * Total stuffed animals = 46 + 35 * Total stuffed animals = 81 Therefore, after the shop owner adds the new stuffed animals, there will be 81 stuffed animals on display. ### Answer: 81
Expected answer: 81
Correct? Yes
Problem: In the same toy shop scenario, imagine that initially, there were only 23 stuffed animals on display, and the shop owner still adds 35 more from his storage. In this case, how many stuffed animals are on display after the shop owner adds the new ones?
Claude-3 Opus:
Let's solve this problem step by step: 1. Understand the given information: * Initially, there are 23 stuffed animals on display. * The shop owner adds 35 more stuffed animals to the display. 2. To find the total number of stuffed animals on display after adding the new ones, we need to add the initial number of stuffed animals to the number of added stuffed animals. 3. Add the stuffed animals: * Total stuffed animals = Initial stuffed animals + Added stuffed animals * Total stuffed animals = 23 + 35 * Total stuffed animals = 58 Therefore, after the shop owner adds the new stuffed animals, there will be 58 stuffed animals on display. ### Answer: 58
Expected answer: 58
Correct? Yes
Problem: A kite festival has a total of 48 small kites and 32 large kites. If there were initially 91 kites available, how many kites were sold before the festival started?
Claude-3 Opus:
Let's organize the information we have: * There are 48 small kites at the festival * There are 32 large kites at the festival * Initially, there were 91 kites available To find out how many kites were sold before the festival, we need to: 1. Calculate the total number of kites at the festival 2. Subtract the number of kites at the festival from the initial number of kites Step 1: Calculate the total number of kites at the festival * Total kites at the festival = Small kites + Large kites * Total kites at the festival = 48 + 32 = 80 Step 2: Subtract the number of kites at the festival from the initial number of kites * Kites sold before the festival = Initial kites - Kites at the festival * Kites sold before the festival = 91 - 80 = 11 Therefore, 11 kites were sold before the festival started. ### Answer: 11
Expected answer: 11
Correct? Yes
Problem: In continuation of the previous problem, let's say there was another booth selling kites at the festival. Initially, they had 59 kites. After the festival started, they observed that they had sold the same number of kites as the number of kites remaining from the initial batch of 91 kites. How many kites did the second booth have left after these sales?
Claude-3 Opus:
Great! Let's solve this problem step by step. We'll use the information from the previous problem and the new information provided. Given: - Initially, there were 91 kites available at the first booth. - 11 kites were sold from the first booth before the festival started. - The second booth initially had 59 kites. - The second booth sold the same number of kites as the number of kites remaining from the initial 91 kites at the first booth. Step 1: Determine the number of kites remaining from the initial 91 kites at the first booth. Kites remaining at the first booth = Initial kites - Kites sold before the festival Kites remaining at the first booth = 91 - 11 = 80 Step 2: Calculate the number of kites sold by the second booth. Kites sold by the second booth = Kites remaining at the first booth = 80 Step 3: Calculate the number of kites left at the second booth after the sales. Kites left at the second booth = Initial kites at the second booth - Kites sold by the second booth Kites left at the second booth = 59 - 80 = -21 However, it is not possible to have a negative number of kites. This means that the second booth did not have enough kites to sell the same number as the remaining kites from the first booth's initial batch. ### Answer: The second booth did not have enough kites to sell the same number as the remaining kites from the first booth's initial batch.
Expected answer: 48
Correct? No
Problem: In a slight change to the previous scenario, suppose that the kite festival actually started with 24 small kites and the same number of large kites, 32, as before. Given that there was still a total of 91 kites initially, how many kites were sold before the festival started now?
Claude-3 Opus:
Let's organize the updated information: * There are 24 small kites at the festival * There are 32 large kites at the festival (same as before) * Initially, there were 91 kites available (same as before) To find out how many kites were sold before the festival with the updated scenario, we need to: 1. Calculate the total number of kites at the festival 2. Subtract the number of kites at the festival from the initial number of kites Step 1: Calculate the total number of kites at the festival * Total kites at the festival = Small kites + Large kites * Total kites at the festival = 24 + 32 = 56 Step 2: Subtract the number of kites at the festival from the initial number of kites * Kites sold before the festival = Initial kites - Kites at the festival * Kites sold before the festival = 91 - 56 = 35 Therefore, with the updated scenario, 35 kites were sold before the festival started. ### Answer: 35
Expected answer: 35
Correct? Yes
Problem: A pirate buries his treasure chest which is 99 paces from the entrance of the cove. After a year, the pirate comes back and finds that due to sudden geologic changes, the cove's entrance moved 32 paces closer to the treasure. How many paces does the pirate now need to walk to reach his treasure?
Claude-3 Opus:
Let's solve this step by step: 1. Initially, the treasure was 99 paces from the entrance of the cove. 2. After a year, the entrance moved 32 paces closer to the treasure. 3. To find the new distance between the entrance and the treasure, we need to subtract the distance the entrance moved from the original distance: New distance = Original distance - Distance the entrance moved = 99 paces - 32 paces = 67 paces Therefore, the pirate now needs to walk 67 paces to reach his treasure. ### Answer: 67 paces
Expected answer: 67
Correct? Yes
Problem: In the previous scenario, the pirate realized his treasure was 'g' paces away from the cove's entrance after the geologic changes. But, what if the geologic shift wasn't as dramatic and it only brought the cove's entrance 26 paces closer instead of 32 paces to his buried treasure? How many paces would the pirate now need to walk from the cove's entrance to reach his treasure?
Claude-3 Opus:
Great! Let's solve this problem using the given information. We'll use the variable 'g' to represent the number of paces the pirate needs to walk from the cove's entrance to his treasure after the geologic changes. Given: - Initially, the treasure was 99 paces from the entrance of the cove. - After the geologic shift, the cove's entrance moved 26 paces closer to the treasure. To find the number of paces the pirate needs to walk from the cove's entrance to his treasure, we can set up an equation: Initial distance - Distance the entrance moved = New distance (g) 99 paces - 26 paces = g Now, let's solve the equation: 99 - 26 = g 73 = g Therefore, after the geologic shift that brought the cove's entrance 26 paces closer to his buried treasure, the pirate would need to walk 73 paces from the cove's entrance to reach his treasure. ### Answer: 73 paces
Expected answer: 73
Correct? Yes
Problem: There are 37 red marbles in a bag and 44 blue marbles in another bag. How many marbles are there in total if you combine the two bags?
Claude-3 Opus:
To find the total number of marbles when combining the two bags, we need to add the number of red marbles and blue marbles together. Given: - There are 37 red marbles in one bag. - There are 44 blue marbles in another bag. Step 1: Add the number of red marbles and blue marbles. Total marbles = Red marbles + Blue marbles Total marbles = 37 + 44 Total marbles = 81 Therefore, there are 81 marbles in total when combining the two bags. ### Answer: 81
Expected answer: 81
Correct? Yes
Problem: In the same bags of marbles mentioned before, imagine if instead there were 10 red marbles while keeping the count of the blue marbles same which was 44. Now, how many marbles would there be in total if you combine the two bags?
Claude-3 Opus:
In this new scenario, we have a different number of red marbles but the same number of blue marbles. Let's solve the problem with the updated information. Given: - There are now 10 red marbles in one bag (instead of 37). - There are still 44 blue marbles in another bag. Step 1: Add the updated number of red marbles and the unchanged number of blue marbles. Total marbles = Red marbles + Blue marbles Total marbles = 10 + 44 Total marbles = 54 Therefore, with the updated number of red marbles, there would be 54 marbles in total when combining the two bags. ### Answer: 54
Expected answer: 54
Correct? Yes
Problem: A jeweler had 90 rings in their inventory. They sold 25 rings in the morning. In the afternoon, they realized their inventory was 92 rings short of their target for the day. How many rings are they short right now for reaching their target?
Claude-3 Opus:
Let's organize the information we have: * The jeweler had 90 rings in their inventory at the start of the day. * They sold 25 rings in the morning. * Their target inventory for the day is 92 rings more than what they have now. To find out how many rings they are short of their target, we need to: 1. Calculate the number of rings they have now. 2. Subtract the current number of rings from the target number of rings. Step 1: Calculate the number of rings they have now * Rings at the start of the day = 90 * Rings sold in the morning = 25 * Current number of rings = 90 - 25 = 65 Step 2: Subtract the current number of rings from the target number of rings * Target number of rings = Current number of rings + 92 * Target number of rings = 65 + 92 = 157 * Rings short of the target = Target number of rings - Current number of rings * Rings short of the target = 157 - 65 = 92 Therefore, the jeweler is currently 92 rings short of their target for the day. ### Answer: 92
Expected answer: 27
Correct? No
Problem: There are 77 cows standing in a field in Farmer John's farm. Farmer John's neighbor Nancy brings over 19 more cows to graze. How many cows are there in total?
Claude-3 Opus:
To solve this problem, let's organize the given information: * There are 77 cows initially in Farmer John's field. * Nancy brings over 19 more cows to graze. To find the total number of cows, we need to add the number of cows initially in the field and the number of cows Nancy brought over. Total cows = Initial cows + Additional cows brought by Nancy Total cows = 77 + 19 Total cows = 96 Therefore, there are now 96 cows in total grazing in Farmer John's field. ### Answer: 96
Expected answer: 96
Correct? Yes
Problem: Suppose instead of the original 77 cows, Farmer John only had 39 cows in his field initially. If neighboring farmer Nancy still brings over her 19 cows to join them, how many cows would there be in total?
Claude-3 Opus:
Let's update the problem with the new information: * There are 39 cows initially in Farmer John's field (instead of 77). * Nancy still brings over 19 more cows to graze. To find the total number of cows, we need to add the updated number of cows initially in the field and the number of cows Nancy brought over. Total cows = Initial cows + Additional cows brought by Nancy Total cows = 39 + 19 Total cows = 58 Therefore, with the updated initial number of cows, there would be 58 cows in total grazing in Farmer John's field. ### Answer: 58
Expected answer: 58
Correct? Yes
Problem: In a beautiful African reserve, there live a certain number of giraffes. In one part of the reserve, you can find 54 giraffes. On the other side of the reserve, there are 40 giraffes. How many giraffes are there in total in the reserve?
Claude-3 Opus:
To find the total number of giraffes in the reserve, we need to add the number of giraffes in both parts of the reserve. Given: - In one part of the reserve, there are 54 giraffes. - On the other side of the reserve, there are 40 giraffes. Step 1: Add the number of giraffes in both parts of the reserve. Total giraffes = Giraffes in one part + Giraffes on the other side Total giraffes = 54 + 40 = <<54+40=94>>94 Therefore, there are 94 giraffes in total in the reserve. ### Answer: 94
Expected answer: 94
Correct? Yes
Problem: In the same African reserve, a survey is conducted again after a few years. This time, on one side of the reserve, there are 39 giraffes, while on the other side, the number remains the same at 40. How many giraffes are there in total in the reserve now?
Claude-3 Opus:
Let's solve this problem using the given information. Given: - In the new survey, on one side of the reserve, there are 39 giraffes. - On the other side of the reserve, the number of giraffes remains the same at 40. Step 1: Add the number of giraffes in both parts of the reserve. Total giraffes = Giraffes on one side + Giraffes on the other side Total giraffes = 39 + 40 = <<39+40=79>>79 Therefore, according to the new survey, there are 79 giraffes in total in the reserve. ### Answer: 79
Expected answer: 79
Correct? Yes
Problem: There were originally 71 bees in a hive, but 23 flew away in search of flowers. Later, another beekeeper noticed that his hive of 85 bees was missing a few. He discovered that the missing bees were the ones that flew away from the first hive. How many bees are left in the second beekeeper's hive?
Claude-3 Opus:
Let's organize the information we have: * The first hive originally had 71 bees. * 23 bees flew away from the first hive. * The second hive originally had 85 bees. * The bees that flew away from the first hive are now in the second hive. To find out how many bees are left in the second beekeeper's hive, we need to: 1. Find the number of bees remaining in the first hive after some flew away. 2. Add the number of bees that flew away from the first hive to the number of bees in the second hive. Step 1: Number of bees remaining in the first hive * Original number of bees in the first hive = 71 * Number of bees that flew away = 23 * Remaining bees in the first hive = 71 - 23 = 48 Step 2: Number of bees in the second hive after the new bees arrived * Original number of bees in the second hive = 85 * Number of bees that joined from the first hive = 23 * Total number of bees in the second hive = 85 + 23 = 108 Therefore, there are now 108 bees in the second beekeeper's hive. ### Answer: 108
Expected answer: 37
Correct? No
Problem: Suppose you have 28 bottle cap crafting kits, and each kit can make 3 cap designs. However, you accidentally lost 3 bottle cap designs out of all the kits. How many bottle cap designs are left in total?
Claude-3 Opus:
Let's solve this problem step by step: 1. Find the total number of bottle cap designs if none were lost: * Each kit can make 3 cap designs * There are 28 kits in total * Total designs = 28 × 3 = 84 designs 2. Subtract the number of lost designs from the total: * Total designs = 84 * Lost designs = 3 * Remaining designs = 84 - 3 = 81 Therefore, you have 81 bottle cap designs left in total. ### Answer: 81
Expected answer: 81
Correct? Yes
Problem: Continuing from the previous problem, imagine that you made a counting error. Instead of losing 3 bottle cap designs, you have actually misplaced 14 of them from all the kits. How many bottle cap designs would you have left in that case?
Claude-3 Opus:
Okay, let's solve this problem using the information from the previous problem: 1. We know from the previous problem that the total number of bottle cap designs if none were lost is: * Each kit can make 3 cap designs * There are 28 kits in total * Total designs = 28 × 3 = 84 designs 2. Now, let's subtract the actual number of misplaced designs from the total: * Total designs = 84 * Misplaced designs = 14 * Remaining designs = 84 - 14 = 70 So, if you have misplaced 14 bottle cap designs instead of 3, you would have 70 bottle cap designs left in total. ### Answer: 70
Expected answer: 70
Correct? Yes
Problem: A helicopter company has a fleet of helicopters. They currently own 30 helicopters, and decide to add an additional 31 helicopters to the fleet. What is the total number of helicopters in the company's fleet?
Claude-3 Opus:
To solve this problem, let's organize the given information: * The company currently owns 30 helicopters. * They decide to add 31 more helicopters to the fleet. To find the total number of helicopters in the company's fleet after adding the new helicopters, we need to add the current number of helicopters to the number of helicopters being added. Current number of helicopters: 30 Number of helicopters being added: 31 Total number of helicopters = Current number of helicopters + Number of helicopters being added Total number of helicopters = 30 + 31 = <<30+31=61>>61 Therefore, after adding the new helicopters, the company's fleet will have a total of 61 helicopters. ### Answer: 61
Expected answer: 61
Correct? Yes
Problem: In the previous scenario, let's consider a change. Suppose the helicopter company originally owned 63 helicopters instead of 30, but still decided to add an additional 31 helicopters to their fleet. How many helicopters would the company have in total now?
Claude-3 Opus:
Great! Let's solve this problem with the updated information. Given: * The company originally owned 63 helicopters. * They decided to add 31 more helicopters to the fleet. To find the total number of helicopters in the company's fleet after adding the new helicopters, we need to add the original number of helicopters to the number of helicopters being added. Original number of helicopters: 63 Number of helicopters being added: 31 Total number of helicopters = Original number of helicopters + Number of helicopters being added Total number of helicopters = 63 + 31 = <<63+31=94>>94 Therefore, with the updated scenario, the company's fleet will have a total of 94 helicopters after adding the new helicopters. ### Answer: 94
Expected answer: 94
Correct? Yes
Problem: The total amount of snowfall in a town this year was 71 inches. In the month of December, the town experienced 10 inches of snowfall. How many inches of snowfall did the town receive in the months before December?
Claude-3 Opus:
To find the amount of snowfall the town received before December, we need to subtract the December snowfall from the total snowfall. Given: - The total amount of snowfall this year was 71 inches. - In December, the town experienced 10 inches of snowfall. Step 1: Subtract the December snowfall from the total snowfall. Snowfall before December = Total snowfall - December snowfall Snowfall before December = 71 inches - 10 inches = 61 inches Therefore, the town received 61 inches of snowfall in the months before December. ### Answer: 61 inches
Expected answer: 61
Correct? Yes
Problem: Continuing from the previous problems, assume the December snowfall data was misread earlier and it was actually 49 inches of snowfall in December, not 10 inches or the revised 13 inches. How many inches of snowfall did the town receive in the months before December given the new December snowfall data?
Claude-3 Opus:
Let's solve this problem using the updated information. Given: - The total amount of snowfall this year was 71 inches. - In December, the town actually experienced 49 inches of snowfall (revised data). Step 1: Subtract the revised December snowfall from the total snowfall to find the amount of snowfall before December. Snowfall before December = Total snowfall - Revised December snowfall Snowfall before December = 71 inches - 49 inches = 22 inches Therefore, given the revised December snowfall data of 49 inches, the town received 22 inches of snowfall in the months before December. ### Answer: 22 inches
Expected answer: 22
Correct? Yes
Problem: Penny received $39 from her mother as a birthday gift. She saw a bag that costs $41. If Penny decides to buy this bag, how much more money would she need?
Claude-3 Opus:
To solve this problem, let's organize the given information and find the difference between the cost of the bag and the money Penny has. Given: - Penny received $39 from her mother as a birthday gift. - The bag Penny wants to buy costs $41. To find out how much more money Penny needs, we need to subtract the money she has from the cost of the bag. Amount needed = Cost of the bag - Money Penny has Amount needed = $41 - $39 Amount needed = $2 Therefore, Penny would need $2 more to buy the bag. ### Answer: $2
Expected answer: 2
Correct? Yes
Problem: After figuring out how much more money she needs, Penny decides to earn the additional cash by doing small jobs for her neighbors. Penny gets paid $33 for every job she completes. How much money would Penny make if she does an equal number of jobs to the additional amount of money she needs to buy the bag?
Claude-3 Opus:
Great! Let's solve this problem step by step. We know that Penny needs $2 more to buy the bag, and she earns $33 for every job she completes. Given: - Penny needs $2 more to buy the bag. - Penny earns $33 for every job she completes. Step 1: Determine the number of jobs Penny needs to do to earn the additional money. Number of jobs = Additional money needed = $2 Step 2: Calculate the total money Penny would make by doing the same number of jobs as the additional money she needs. Money earned = Number of jobs × Earnings per job Money earned = $2 × $33 Money earned = $66 Therefore, if Penny does 2 jobs (equal to the additional amount of money she needs), she would make $66. ### Answer: $66
Expected answer: 66
Correct? Yes
Problem: Suppose instead of receiving $39 from her mother, Penny only received $23 as her birthday gift. Now if she still wants to buy the bag, which costs $41, how much more money would she need?
Claude-3 Opus:
Let's solve this problem using the updated information. Given: - Penny received $23 from her mother as a birthday gift. - The bag Penny wants to buy still costs $41. To find out how much more money Penny needs, we need to subtract the money she has from the cost of the bag. Amount needed = Cost of the bag - Money Penny has Amount needed = $41 - $23 Amount needed = $18 Therefore, Penny would need $18 more to buy the bag. ### Answer: $18
Expected answer: 18
Correct? Yes
Problem: A fashion retail store specializes in selling glasses. They currently have 58 glasses. If they sell 21 glasses, how many glasses will remain in the fashion retail store?
Claude-3 Opus:
To solve this problem, let's organize the given information: * The fashion retail store currently has 58 glasses. * They sell 21 glasses. To find out how many glasses will remain in the store, we need to subtract the number of glasses sold from the total number of glasses initially in the store. Glasses remaining = Total glasses - Glasses sold Glasses remaining = 58 - 21 = 37 Therefore, after selling 21 glasses, the fashion retail store will have 37 glasses remaining. ### Answer: 37
Expected answer: 37
Correct? Yes
Problem: In the fashion retail store specializing in eyewear, another branch has 44 glasses in stock. If we subtract the number of glasses remaining in the main store (after selling 21 glasses), how many glasses does the other branch have in comparison?
Claude-3 Opus:
Great! Let's solve this problem step by step. We'll use the information from the previous problem and the new information given. Given: - The main store initially had 58 glasses and sold 21 glasses. - The main store now has 37 glasses remaining (from the previous problem). - Another branch has 44 glasses in stock. To find out how many more glasses the other branch has compared to the main store, we need to subtract the number of glasses remaining in the main store from the number of glasses in the other branch. Difference in glasses = Glasses in the other branch - Glasses remaining in the main store Difference in glasses = 44 - 37 = 7 Therefore, the other branch has 7 more glasses compared to the main store after selling 21 glasses. ### Answer: 7
Expected answer: 7
Correct? Yes
Problem: In the fashion retail store that specializes in eyewear, consider a different scenario where they initially had 40 glasses instead of 58. If they sell 21 glasses from this initial stock, how many glasses will remain in the store?
Claude-3 Opus:
Let's organize the new information: * The fashion retail store initially has 40 glasses. * They sell 21 glasses. To find the number of glasses remaining, we subtract the number of glasses sold from the initial stock. Glasses remaining = Initial stock - Glasses sold Glasses remaining = 40 - 21 = 19 Therefore, after selling 21 glasses from the initial stock of 40, the fashion retail store will have 19 glasses remaining. ### Answer: 19
Expected answer: 19
Correct? Yes
Problem: A food enthusiast started the day with 29 strawberries. If he ate 15 strawberries for breakfast, how many strawberries does he have left?
Claude-3 Opus:
Let's organize the information we have: * The food enthusiast started with 29 strawberries. * He ate 15 strawberries for breakfast. To find out how many strawberries he has left, we need to subtract the number of strawberries he ate from the total number of strawberries he started with. 29 - 15 = <<29-15=14>>14 Therefore, the food enthusiast has 14 strawberries left after eating 15 for breakfast. ### Answer: 14
Expected answer: 14
Correct? Yes
Problem: Continuing from the earlier problem, imagine if the food enthusiast only ate 1 strawberry for breakfast instead of 15 strawberries. In that case, how many strawberries would he have left?
Claude-3 Opus:
In the original problem, the food enthusiast started with 29 strawberries and ate 15 for breakfast, leaving him with 14 strawberries. Now, let's consider the new scenario where he only ate 1 strawberry for breakfast instead of 15. Given: * The food enthusiast started with 29 strawberries. * He ate 1 strawberry for breakfast. To find out how many strawberries he has left, we need to subtract the number of strawberries he ate from the total number of strawberries he started with. 29 - 1 = <<29-1=28>>28 Therefore, if the food enthusiast only ate 1 strawberry for breakfast, he would have 28 strawberries left. ### Answer: 28
Expected answer: 28
Correct? Yes
Problem: A ballerina practiced 34 dance moves. Then, in the next session, she trained an additional 46 dance moves. How many total dance moves did the ballerina practice?
Claude-3 Opus:
To solve this problem, let's organize the given information: * In the first session, the ballerina practiced 34 dance moves. * In the next session, she practiced an additional 46 dance moves. To find the total number of dance moves the ballerina practiced, we need to add the number of dance moves from both sessions. Total dance moves = Dance moves in first session + Dance moves in next session Total dance moves = 34 + 46 Total dance moves = <<34+46=80>>80 Therefore, the ballerina practiced a total of 80 dance moves. ### Answer: 80
Expected answer: 80
Correct? Yes
Problem: After mastering a total of 80 dance moves, the ballerina decided to discard 16 dance moves that she felt were too simple. How many dance moves does the ballerina intend to keep in her repertoire?
Claude-3 Opus:
Great! Let's solve this problem step by step. We know that: * The ballerina mastered a total of 80 dance moves. * She decided to discard 16 dance moves that she felt were too simple. To find out how many dance moves the ballerina intends to keep in her repertoire, we need to subtract the number of discarded dance moves from the total number of mastered dance moves. Dance moves kept = Total mastered dance moves - Discarded dance moves Dance moves kept = 80 - 16 Dance moves kept = <<80-16=64>>64 So, the ballerina intends to keep 64 dance moves in her repertoire. ### Answer: 64
Expected answer: 64
Correct? Yes
Problem: In the previous scenario, the ballerina had practiced 34 dance moves before learning 46 more. But what if she initially practiced 34 dance moves and then decided to train an additional 57 dance moves. How many total dance moves would the ballerina have practiced then?
Claude-3 Opus:
Great! Let's solve this problem using the same approach as before, but with the updated information. Given: * The ballerina initially practiced 34 dance moves. * She then decided to train an additional 57 dance moves. To find the total number of dance moves the ballerina practiced, we need to add the number of dance moves from both sessions. Total dance moves = Initial dance moves + Additional dance moves Total dance moves = 34 + 57 Total dance moves = <<34+57=91>>91 In this scenario, the ballerina would have practiced a total of 91 dance moves. ### Answer: 91
Expected answer: 91
Correct? Yes
Problem: In a car manufacturing factory, there are 50 spots reserved for completed cars. Today, currently there are 21 cars that are fully completed. The rest of the spots are reserved for the cars which are still under process. How many cars are still under process?
Claude-3 Opus:
Let's organize the information we have: * There are 50 spots reserved for completed cars in the factory. * Currently, 21 cars are fully completed. * The remaining spots are reserved for cars still under process. To find the number of cars still under process, we need to: 1. Find the number of remaining spots by subtracting the number of completed cars from the total number of spots. Remaining spots = Total spots - Completed cars Remaining spots = 50 - 21 = 29 Therefore, there are 29 spots reserved for cars still under process. ### Answer: 29 cars are still under process.
Expected answer: 29
Correct? Yes
Problem: In addition to the cars under process, 6 spots are cleared to start new projects. After clearing these spots, how many cars still under process remain in the factory?
Claude-3 Opus:
Let's update the information we have: * There are 50 spots reserved for completed cars in the factory. * Currently, 21 cars are fully completed. * 6 spots are cleared to start new projects. * The remaining spots are reserved for cars still under process. To find the number of cars still under process after clearing 6 spots, we need to: 1. Find the number of remaining spots by subtracting the number of completed cars and cleared spots from the total number of spots. Remaining spots = Total spots - Completed cars - Cleared spots Remaining spots = 50 - 21 - 6 = 23 Therefore, after clearing 6 spots for new projects, there are 23 spots reserved for cars still under process. ### Answer: 23 cars still under process remain in the factory.
Expected answer: 23
Correct? Yes
Problem: Let's suppose that instead of 50 spots for cars, the factory had only 45. In that case, currently there are 21 cars that are fully completed. The rest of the spots are reserved for the cars which are still under process. How many cars are still under process now?
Claude-3 Opus:
Okay, let's update the information based on the new scenario: * There are 45 spots reserved for completed cars in the factory. * Currently, 21 cars are fully completed. * The remaining spots are reserved for cars still under process. To find the number of cars still under process, we follow the same steps as before: 1. Find the number of remaining spots by subtracting the number of completed cars from the total number of spots. Remaining spots = Total spots - Completed cars Remaining spots = 45 - 21 = 24 Therefore, with 45 spots in the factory and 21 cars fully completed, there are 24 spots reserved for cars still under process. ### Answer: 24 cars are still under process.
Expected answer: 24
Correct? Yes
Problem: The art supply store received an order of colored pencils. The packs of colored pencils arrived in two varieties: packs with 32 colored pencils and packs with 62 colored pencils. How many colored pencils are there in total if you have one pack of each variety?
Claude-3 Opus:
To solve this problem, let's organize the given information: * The store received two varieties of colored pencil packs: - Packs with 32 colored pencils - Packs with 62 colored pencils * We have one pack of each variety Now, let's find the total number of colored pencils: * Total colored pencils = Number of pencils in the 32-pack + Number of pencils in the 62-pack * Total colored pencils = 32 + 62 * Total colored pencils = <<32+62=94>>94 Therefore, if you have one pack of each variety, there are 94 colored pencils in total. ### Answer: 94
Expected answer: 94
Correct? Yes
Problem: Suppose instead of receiving a pack of 32 colored pencils, the art supply store only received a single colored pencil along with the pack of 62 colored pencils. How many colored pencils would there be in total then?
Claude-3 Opus:
Let's update the problem with the new information: * The store received: - 1 single colored pencil - 1 pack with 62 colored pencils Now, let's calculate the total number of colored pencils: * Total colored pencils = Number of single pencils + Number of pencils in the 62-pack * Total colored pencils = 1 + 62 * Total colored pencils = <<1+62=63>>63 Therefore, with 1 single colored pencil and 1 pack of 62 colored pencils, there would be 63 colored pencils in total. ### Answer: 63
Expected answer: 63
Correct? Yes
Problem: A cat has 7 lives. If a magical cat has 4 times as many lives as a regular cat, how many lives does the magical cat have?
Claude-3 Opus:
Let's solve this problem step by step: 1. Understand the given information: * A regular cat has 7 lives. * A magical cat has 4 times as many lives as a regular cat. 2. Calculate the number of lives a magical cat has: * Lives of a magical cat = 4 × Lives of a regular cat * Lives of a magical cat = 4 × 7 * Lives of a magical cat = 28 Therefore, a magical cat has 28 lives. ### Answer: 28
Expected answer: 28
Correct? Yes
Problem: Let's consider a different breed of magical cat that has 13 times as many lives as a regular cat, instead of 4 times. How many lives does this different breed of magical cat have?
Claude-3 Opus:
Great! Let's solve this problem for the different breed of magical cat. Given: - A regular cat has 7 lives. - This different breed of magical cat has 13 times as many lives as a regular cat. Step 1: Calculate the number of lives the different breed of magical cat has. Lives of the different breed of magical cat = 13 × Lives of a regular cat Lives of the different breed of magical cat = 13 × 7 = 91 Therefore, this different breed of magical cat has 91 lives. ### Answer: 91
Expected answer: 91
Correct? Yes
Problem: A rocket needs 27 tons of fuel for the initial boost and an additional 10 tons for the rest of the journey through space. After an unexpected issue, it needs an extra 2 tons of fuel. How many tons of fuel does the rocket need in total?
Claude-3 Opus:
Let's organize the information we have: * The rocket needs 27 tons of fuel for the initial boost. * It needs an additional 10 tons of fuel for the rest of the journey. * Due to an unexpected issue, it needs an extra 2 tons of fuel. To find the total amount of fuel needed, we need to add these three quantities together: Initial boost fuel + Rest of journey fuel + Extra fuel = Total fuel needed 27 tons + 10 tons + 2 tons = 39 tons Therefore, the rocket needs a total of 39 tons of fuel. ### Answer: 39 tons
Expected answer: 39
Correct? Yes
Problem: Suppose the rocket initially needed 27 tons of fuel for the boost off and for the space journey. But let's consider a change and say that it needed 13 tons of fuel for the rest of the journey instead of 10 tons. Even so, the additional 2 tons for the unexpected issue still applies. Under this new circumstance, how many tons of fuel does the rocket now need in total?
Claude-3 Opus:
Let's organize the updated information: * The rocket needs 27 tons of fuel for the initial boost and the space journey combined. * It needs an additional 13 tons of fuel for the rest of the journey (instead of 10 tons). * Due to an unexpected issue, it needs an extra 2 tons of fuel. To find the total amount of fuel needed under this new circumstance, we need to add these three quantities together: Initial boost and space journey fuel + Rest of journey fuel + Extra fuel = Total fuel needed 27 tons + 13 tons + 2 tons = 42 tons Therefore, under this new circumstance, the rocket needs a total of 42 tons of fuel. ### Answer: 42 tons
Expected answer: 42
Correct? Yes
Problem: Mark has found an ancient treasure map! At the beginning, he has 94 clues to find the treasure. After his exploration, he figured out 89 clues in total. How many clues does he still need to figure out to reach the treasure?
Claude-3 Opus:
Let's organize the information we have: * Mark has 94 clues to find the treasure at the beginning. * After his exploration, he figured out 89 clues in total. To find out how many clues Mark still needs to figure out, we need to subtract the number of clues he has figured out from the total number of clues: Remaining clues = Total clues - Figured out clues Remaining clues = 94 - 89 = <<94-89=5>>5 Therefore, Mark still needs to figure out 5 clues to reach the treasure. ### Answer: 5
Expected answer: 5
Correct? Yes
Problem: After previously deciphering 89 clues, Mark stumbled upon a hidden engraving that altered his interpretations. He now realizes that, truly, he had only figured out 17 of the original 94 clues. This correction throws his treasure hunt off course. How many clues does he now need to figure out to reach the treasure?
Claude-3 Opus:
Let's update the information based on the new development: * Mark has 94 clues to find the treasure at the beginning. * After the correction, he realizes he had only figured out 17 clues. To find out how many clues Mark needs to figure out now, we need to subtract the number of clues he has actually figured out from the total number of clues: Remaining clues = Total clues - Correctly figured out clues Remaining clues = 94 - 17 = <<94-17=77>>77 Therefore, after the correction, Mark needs to figure out 77 clues to reach the treasure. ### Answer: 77
Expected answer: 77
Correct? Yes
Problem: Mike has 18 dollars. He decides to buy a candy bar that costs 16 dollars. How much money does he have left?
Claude-3 Opus:
Let's solve this problem step by step: 1. Understand the given information: * Mike has 18 dollars. * The candy bar costs 16 dollars. 2. Calculate the money Mike has left after buying the candy bar: * Money left = Total money - Cost of the candy bar * Money left = $18 - $16 * Money left = $2 Therefore, after buying the candy bar, Mike has $2 left. ### Answer: $2
Expected answer: 2
Correct? Yes
Problem: After buying the candy bar, Mike finds a wallet on the ground. Inside the wallet, there are 10 dollars. After counting the money he has left, Mike realizes he now has less money than what's in the wallet. How much money is Mike short of having compared to the 10 dollars in the wallet?
Claude-3 Opus:
Let's continue solving the problem with the new information: 1. Understand the new information: * Mike finds a wallet with 10 dollars inside. * After counting his money, Mike realizes he has less than the 10 dollars in the wallet. 2. Recall the amount of money Mike had after buying the candy bar: * Money left after buying the candy bar = $2 3. Calculate how much money Mike is short of having compared to the 10 dollars in the wallet: * Money short = Money in the wallet - Money Mike has * Money short = $10 - $2 * Money short = $8 Therefore, Mike is short $8 compared to the 10 dollars in the wallet. ### Answer: $8
Expected answer: 8
Correct? Yes
Problem: Let's consider a new scenario. This time, Mike starts with 74 dollars instead of 18. He still buys the candy bar that costs 16 dollars. How much money does he have left after buying the candy bar now?
Claude-3 Opus:
Great! Let's solve this problem with the new information. Given: - Mike now has 74 dollars. - The candy bar still costs 16 dollars. To find out how much money Mike has left after buying the candy bar, we need to subtract the cost of the candy bar from his initial amount. Money left = Initial amount - Cost of the candy bar Money left = $74 - $16 Money left = $58 Therefore, after buying the candy bar that costs 16 dollars, Mike now has 58 dollars left. ### Answer: $58
Expected answer: 58
Correct? Yes
Problem: On a large farm, there are 77 animals in total. Some of them are cows and the rest are chickens. If the number of chickens is 53 less than the total number of animals, how many chickens are there on the farm?
Claude-3 Opus:
Let's solve this step by step: 1. Understand the given information: * There are 77 animals in total on the farm. * The animals are either cows or chickens. * The number of chickens is 53 less than the total number of animals. 2. Let's express the number of chickens in terms of the total number of animals: * Number of chickens = Total number of animals - 53 * Number of chickens = 77 - 53 3. Calculate the number of chickens: * Number of chickens = 77 - 53 = 24 Therefore, there are 24 chickens on the farm. ### Answer: 24
Expected answer: 24
Correct? Yes
Problem: After counting the chickens, the farm owner realized that 41 more chickens have hatched. With these new additions, how many chickens are there now on the farm?
Claude-3 Opus:
Great! Let's solve this problem using the information we already have. Given: - Initially, there were 24 chickens on the farm. - 41 more chickens have hatched. To find the new total number of chickens, we need to add the initial number of chickens and the newly hatched chickens. Step 1: Add the initial number of chickens and the newly hatched chickens. New total number of chickens = Initial number of chickens + Newly hatched chickens New total number of chickens = 24 + 41 = 65 Therefore, with the new additions, there are now 65 chickens on the farm. ### Answer: 65
Expected answer: 65
Correct? Yes
Problem: In an ocean research project, scientists capture and tag 6 sharks. Later, an additional 50 sharks are tagged to better track and study the shark population in the area. How many sharks in total have the scientists tagged?
Claude-3 Opus:
Let's organize the information we have: * Initially, the scientists captured and tagged 6 sharks. * Later, they tagged an additional 50 sharks. To find the total number of sharks the scientists have tagged, we need to add the number of sharks tagged initially and the number of sharks tagged later. Total sharks tagged = Initially tagged sharks + Later tagged sharks Total sharks tagged = 6 + 50 Total sharks tagged = 56 Therefore, the scientists have tagged a total of 56 sharks. ### Answer: 56
Expected answer: 56
Correct? Yes
Problem: In the same ocean research project, suppose the scientists initially only managed to capture and tag 6 sharks, but later were able to tag an additional 7 sharks. How many sharks would have been tagged in this case?
Claude-3 Opus:
Let's organize the updated information: * Initially, the scientists captured and tagged 6 sharks. * Later, they tagged an additional 7 sharks. To find the total number of sharks the scientists have tagged in this case, we need to add the number of sharks tagged initially and the number of sharks tagged later. Total sharks tagged = Initially tagged sharks + Later tagged sharks Total sharks tagged = 6 + 7 Total sharks tagged = 13 Therefore, in this case, the scientists would have tagged a total of 13 sharks. ### Answer: 13
Expected answer: 13
Correct? Yes
Problem: In a video game, Jacob has 68 gems. He decided to give some of his gems away and was left with 62 gems. How many gems did he give away?
Claude-3 Opus:
Let's solve this problem step by step: 1. Understand the given information: * Jacob initially had 68 gems. * After giving some gems away, he was left with 62 gems. 2. To find out how many gems Jacob gave away, we need to subtract the number of gems he has now from the number of gems he had initially. * Gems given away = Initial number of gems - Current number of gems * Gems given away = 68 - 62 * Gems given away = <<68-62=6>>6 Therefore, Jacob gave away 6 gems. ### Answer: 6
Expected answer: 6
Correct? Yes
Problem: Considering the same video game as before, what if Jacob initially had 100 gems instead of 68 before he gave some away and was left with 62 gems? How many gems did he give away this time?
Claude-3 Opus:
Great! Let's solve this problem using the same approach as before, but with the new information. Given: - Jacob initially had 100 gems. - After giving some gems away, he was left with 62 gems. To find the number of gems Jacob gave away, we subtract the number of gems he has now from the number of gems he had initially. Gems given away = Initial number of gems - Current number of gems Gems given away = 100 - 62 Gems given away = <<100-62=38>>38 So, when Jacob initially had 100 gems and was left with 62 gems, he gave away 38 gems. ### Answer: 38
Expected answer: 38
Correct? Yes
Problem: In a candle store, there are 27 scented candles and 36 unscented candles. The store owner decides to put 30 candles on sale. How many candles are not on sale?
Claude-3 Opus:
Let's organize the information we have: * There are 27 scented candles * There are 36 unscented candles * The store owner puts 30 candles on sale To find out how many candles are not on sale, we need to: 1. Find the total number of candles in the store 2. Subtract the number of candles on sale from the total Step 1: Find the total number of candles * Total candles = Scented candles + Unscented candles * Total candles = 27 + 36 = <<27+36=63>>63 Step 2: Subtract the number of candles on sale from the total * Candles not on sale = Total candles - Candles on sale * Candles not on sale = 63 - 30 = <<63-30=33>>33 Therefore, 33 candles are not on sale. ### Answer: 33
Expected answer: 33
Correct? Yes
Problem: In the candle store, after the owner decides on which candles to put on sale, 14 more candles are sold. How many candles are left in the store now?
Claude-3 Opus:
Great! Let's continue with the problem. We already know that there were 33 candles not on sale. Given: * 14 more candles are sold after the owner decides on which candles to put on sale. To find out how many candles are left in the store, we need to: 1. Subtract the number of candles sold from the number of candles not on sale. Step 1: Subtract the number of candles sold from the number of candles not on sale * Candles left in the store = Candles not on sale - Candles sold * Candles left in the store = 33 - 14 = <<33-14=19>>19 Therefore, there are 19 candles left in the store. ### Answer: 19
Expected answer: 19
Correct? Yes
Problem: In the original scenario, let's consider instead that there were 73 unscented candles instead of 36 in the candle store. Similar to the original scenario, the store owner decides to put 30 candles on sale. Now, how many candles are not on sale?
Claude-3 Opus:
Let's organize the updated information: * There are 27 scented candles * There are 73 unscented candles (updated from 36) * The store owner puts 30 candles on sale To find out how many candles are not on sale, we follow the same steps as before: 1. Find the total number of candles in the store 2. Subtract the number of candles on sale from the total Step 1: Find the total number of candles * Total candles = Scented candles + Unscented candles * Total candles = 27 + 73 = <<27+73=100>>100 Step 2: Subtract the number of candles on sale from the total * Candles not on sale = Total candles - Candles on sale * Candles not on sale = 100 - 30 = <<100-30=70>>70 Therefore, with the updated number of unscented candles, 70 candles are not on sale. ### Answer: 70
Expected answer: 70
Correct? Yes
Problem: In a card game, Alex started with 98 points but lost 51 points in a round. Next, he gained 17 points in a following round. How many points does Alex have after these rounds?
Claude-3 Opus:
Let's solve this problem step by step: 1. Understand the given information: * Alex started with 98 points. * He lost 51 points in a round. * He gained 17 points in the following round. 2. Calculate the points Alex had after losing 51 points: * Points after losing = Initial points - Points lost * Points after losing = 98 - 51 = 47 3. Calculate the points Alex had after gaining 17 points: * Points after gaining = Points after losing + Points gained * Points after gaining = 47 + 17 = 64 Therefore, Alex has 64 points after these rounds. ### Answer: 64
Expected answer: 64
Correct? Yes
Problem: In the card game, after gaining 17 points, Alex decided to bet 25 points in the next round. Unfortunately, he lost this round. How many points does Alex have after all these rounds?
Claude-3 Opus:
Let's continue from the previous solution and solve the new problem step by step: 1. Understand the given information: * Alex had 64 points after gaining 17 points in the previous round. * He decided to bet 25 points in the next round. * He lost this round. 2. Calculate the points Alex has after losing the bet: * Points after losing the bet = Points before the bet - Points lost in the bet * Points after losing the bet = 64 - 25 = 39 Therefore, Alex has 39 points after all these rounds. ### Answer: 39
Expected answer: 39
Correct? Yes
Problem: In the card game, instead of gaining 17 points, Alex only gained 2 points in the second round. Now how many points does Alex have after the first two rounds?
Claude-3 Opus:
Let's solve this problem step by step: 1. Understand the given information: * Alex started with 98 points. * He lost 51 points in the first round. * He gained 2 points in the second round. 2. Calculate the points Alex had after losing 51 points in the first round: * Points after losing = Initial points - Points lost * Points after losing = 98 - 51 = 47 3. Calculate the points Alex had after gaining 2 points in the second round: * Points after gaining = Points after losing + Points gained * Points after gaining = 47 + 2 = 49 Therefore, Alex has 49 points after the first two rounds. ### Answer: 49
Expected answer: 49
Correct? Yes
Problem: A clothing store starts the day with 95 pairs of pants in stock. Throughout the day, it sells 4 pairs. How many pairs of pants are left in the store?
Claude-3 Opus:
Let's solve this problem step by step: 1. Understand the given information: * The store starts the day with 95 pairs of pants. * During the day, the store sells 4 pairs of pants. 2. To find the number of pairs of pants left in the store, we need to subtract the number of pairs sold from the initial number of pairs in stock: * Pairs of pants left = Initial pairs of pants - Pairs of pants sold * Pairs of pants left = 95 - 4 * Pairs of pants left = <<95-4=91>>91 Therefore, at the end of the day, the store has 91 pairs of pants left in stock. ### Answer: 91
Expected answer: 91
Correct? Yes
Problem: After selling 4 pairs of pants, the clothing store receives a small shipment of 3 more pairs to restock. How many pairs of pants are now in the store?
Claude-3 Opus:
Great! Let's continue from where we left off in the previous problem. Given: - The store had 91 pairs of pants left after selling 4 pairs. - The store receives a small shipment of 3 more pairs of pants to restock. To find the total number of pairs of pants now in the store, we need to add the number of pairs restocked to the number of pairs left after selling: Pairs of pants now in store = Pairs of pants left after selling + Pairs of pants restocked Pairs of pants now in store = 91 + 3 Pairs of pants now in store = <<91+3=94>>94 Therefore, after restocking, the store now has 94 pairs of pants. ### Answer: 94
Expected answer: 94
Correct? Yes
Problem: After the clothing store sold 4 pairs of pants, they realized they actually sold 9 pairs during that day instead of the 4 they initially thought. How many pairs of pants are left in the store?
Claude-3 Opus:
Let's update our solution based on the new information: 1. Understand the updated information: * The store starts the day with 95 pairs of pants. * During the day, the store actually sells 9 pairs of pants, not 4 as initially thought. 2. To find the number of pairs of pants left in the store, we need to subtract the updated number of pairs sold from the initial number of pairs in stock: * Pairs of pants left = Initial pairs of pants - Pairs of pants sold * Pairs of pants left = 95 - 9 * Pairs of pants left = <<95-9=86>>86 Therefore, at the end of the day, the store has 86 pairs of pants left in stock. ### Answer: 86
Expected answer: 86
Correct? Yes
Problem: In the classroom, there are 48 pencils initially. However, 30 pencils are distributed to students. Later, the teacher brings in an additional 9 pencils. How many pencils are there in the classroom now?
Claude-3 Opus:
Let's solve this problem step by step: 1. Initially, there were 48 pencils in the classroom. 2. 30 pencils were distributed to students. * Remaining pencils after distribution = Initial pencils - Distributed pencils * Remaining pencils after distribution = 48 - 30 = 18 pencils 3. The teacher brings in an additional 9 pencils. * Total pencils now = Remaining pencils after distribution + Additional pencils * Total pencils now = 18 + 9 = 27 pencils Therefore, there are now 27 pencils in the classroom. ### Answer: 27
Expected answer: 27
Correct? Yes
Problem: Suppose that instead of starting with 48 pencils in the classroom, there were 35. After distributing 30 pencils to the students, the teacher brings in an additional 9, just like before. With this change in initial conditions, how many pencils are now in the classroom?
Claude-3 Opus:
Great! Let's solve this problem with the new initial condition. Given: - Initially, there were 35 pencils in the classroom. - 30 pencils were distributed to students. - The teacher brings in an additional 9 pencils. Step 1: Calculate the remaining pencils after distribution. Remaining pencils after distribution = Initial pencils - Distributed pencils Remaining pencils after distribution = 35 - 30 = 5 pencils Step 2: Calculate the total number of pencils in the classroom after the teacher brings in the additional pencils. Total pencils now = Remaining pencils after distribution + Additional pencils Total pencils now = 5 + 9 = 14 pencils Therefore, with the new initial condition of 35 pencils, there are now 14 pencils in the classroom. ### Answer: 14
Expected answer: 14
Correct? Yes
Problem: A designer decided to create a variety of window styles for a large commercial building. Originally, there were 68 window concepts. However, with some discussions and reviewing, 49 concepts got rejected. How many window design concepts are there left now?
Claude-3 Opus:
Let's organize the information we have: * Initially, there were 68 window design concepts. * After discussions and reviewing, 49 concepts were rejected. To find out how many window design concepts are left, we need to subtract the number of rejected concepts from the original number of concepts. 68 - 49 = <<68-49=19>>19 Therefore, there are 19 window design concepts left after the discussions and reviewing process. ### Answer: 19
Expected answer: 19
Correct? Yes
Problem: Let's reconsider the situation from before. Suppose that in the initial review, the designer didn't reject as many concepts as before. This time, only 17 window design concepts are rejected from the original 68 concepts. How many window design concepts are left now?
Claude-3 Opus:
Okay, let's update the information based on the new scenario: * Initially, there were 68 window design concepts. * After the initial review, only 17 concepts were rejected (instead of 49 as before). To find out how many window design concepts are left, we need to subtract the number of rejected concepts from the original number of concepts. 68 - 17 = <<68-17=51>>51 Therefore, in this new scenario, there are 51 window design concepts left after the initial review process. ### Answer: 51
Expected answer: 51
Correct? Yes
Problem: A store has 32 pairs of binoculars in stock. Later in the day, they receive an additional shipment of 20 pairs of binoculars. The next day, the store receives yet another shipment of 23 pairs of binoculars. How many pairs of binoculars does the store have in total?
Claude-3 Opus:
Let's solve this problem step by step: 1. Initially, the store had 32 pairs of binoculars in stock. 2. Later in the day, they received an additional shipment of 20 pairs of binoculars. * Total binoculars after the first shipment = 32 + 20 = 52 pairs 3. The next day, the store received another shipment of 23 pairs of binoculars. * Total binoculars after the second shipment = 52 + 23 = 75 pairs Therefore, the store has a total of 75 pairs of binoculars. ### Answer: 75
Expected answer: 75
Correct? Yes
Problem: In the original scenario, the store had 32 pairs of binoculars and received an additional shipment of 20 pairs, after which it received 23 more pairs. Now, consider if instead of 23 pairs, the store had received an additional 46 pairs in the last shipment. How many pairs of binoculars would the store have had in this new scenario?
Claude-3 Opus:
Let's solve this new scenario step by step: 1. Initially, the store had 32 pairs of binoculars in stock. 2. Later in the day, they received an additional shipment of 20 pairs of binoculars. * Total binoculars after the first shipment = 32 + 20 = 52 pairs 3. In this new scenario, the store received another shipment of 46 pairs of binoculars (instead of 23 pairs). * Total binoculars after the second shipment = 52 + 46 = 98 pairs Therefore, in this new scenario, the store would have had a total of 98 pairs of binoculars. ### Answer: 98
Expected answer: 98
Correct? Yes
Problem: Fiona has started taking piano lessons and practices for 28 minutes every day. One day, she decides to increase her practice time by an extra 8 minutes. How many total minutes did Fiona practice piano that day?
Claude-3 Opus:
Let's organize the information we have: * Fiona usually practices piano for 28 minutes every day. * One day, she increases her practice time by 8 minutes. To find the total minutes Fiona practiced piano that day, we need to add her usual practice time and the extra minutes she practiced. Usual practice time: 28 minutes Extra practice time: 8 minutes Total practice time = Usual practice time + Extra practice time Total practice time = 28 + 8 = <<28+8=36>>36 minutes Therefore, on the day Fiona increased her practice time, she practiced piano for a total of 36 minutes. ### Answer: 36 minutes
Expected answer: 36
Correct? Yes
Problem: After Fiona finished her longer practice session of 28 minutes plus an extra 8 minutes, her piano teacher asked her to practice an additional song, which took her an extra 34 minutes. How many total minutes did Fiona practice piano that day altogether?
Claude-3 Opus:
Let's organize the updated information: * Fiona's usual practice time: 28 minutes * Extra practice time: 8 minutes * Additional song practice time: 34 minutes To find the total minutes Fiona practiced piano that day, we need to add her usual practice time, the extra minutes, and the additional song practice time. Usual practice time: 28 minutes Extra practice time: 8 minutes Additional song practice time: 34 minutes Total practice time = Usual practice time + Extra practice time + Additional song practice time Total practice time = 28 + 8 + 34 = <<28+8+34=70>>70 minutes Therefore, with the additional song practice, Fiona practiced piano for a total of 70 minutes that day. ### Answer: 70 minutes
Expected answer: 70
Correct? Yes
Problem: Following on from the previous scenario, let's say instead that Fiona began her practice session by practicing for 28 minutes and then decided to extend her practice time by an extra 20 minutes instead of 8. How many total minutes did Fiona practice piano that day in this scenario?
Claude-3 Opus:
Great! Let's solve this problem using the new information. Given: * Fiona starts her practice session by practicing for 28 minutes. * She then decides to extend her practice time by an extra 20 minutes. To find the total minutes Fiona practiced piano that day, we need to add her initial practice time and the extra minutes she practiced. Initial practice time: 28 minutes Extra practice time: 20 minutes Total practice time = Initial practice time + Extra practice time Total practice time = 28 + 20 = <<28+20=48>>48 minutes In this scenario, Fiona practiced piano for a total of 48 minutes on the day she extended her practice time by 20 minutes. ### Answer: 48 minutes
Expected answer: 48
Correct? Yes
Problem: An artisan has 75 beads for making bracelets. He uses 55 beads for a large commissioned piece, leaving a certain amount of beads. The artisan then receives another shipment with the equivalent number of beads as he currently has. How many beads does the artisan have now?
Claude-3 Opus:
Let's solve this problem step by step: 1. The artisan initially has 75 beads. 2. He uses 55 beads for a large commissioned piece. 3. To find the number of beads left after using 55, we subtract: 75 - 55 = 20 beads 4. The artisan receives another shipment with the same number of beads as he currently has, which is 20. 5. To find the total number of beads the artisan has now, we add: 20 + 20 = 40 beads Therefore, the artisan now has 40 beads. ### Answer: 40
Expected answer: 40
Correct? Yes
Problem: Following from the previous scenario, the artisan now acquires an additional set of 29 special beads that he had ordered earlier. How many total beads does the artisan have now, counting his current stock and the new special beads?
Claude-3 Opus:
Great! Let's continue from the previous scenario and solve this problem step by step. Given: - The artisan had 40 beads after using 55 beads from his initial stock of 75 and receiving a new shipment. - The artisan now acquires an additional set of 29 special beads. To find the total number of beads the artisan has now, we need to add his current stock and the new special beads. Current stock: 40 beads Special beads: 29 beads Total beads = Current stock + Special beads Total beads = 40 + 29 = 69 beads Therefore, the artisan now has a total of 69 beads, counting his current stock and the new special beads. ### Answer: 69
Expected answer: 69
Correct? Yes
Problem: In the previous scenario, suppose originally the artisan started with 99 beads instead of 75. If he still used 55 beads for the large commissioned piece and received another shipment with an equivalent number of beads as he currently has, how many beads would the artisan have now?
Claude-3 Opus:
Great! Let's solve this problem using the same steps as before, but with the new initial number of beads. Given: - The artisan initially has 99 beads. - He uses 55 beads for a large commissioned piece. - He receives another shipment with the same number of beads as he currently has after using 55 beads. Step 1: Calculate the number of beads left after using 55 beads. 99 - 55 = 44 beads Step 2: The artisan receives another shipment with the same number of beads as he currently has, which is 44. Step 3: Calculate the total number of beads the artisan has now by adding the current number of beads and the number of beads in the new shipment. 44 + 44 = 88 beads Therefore, the artisan would now have 88 beads. ### Answer: 88
Expected answer: 88
Correct? Yes
Problem: There are 73 minutes past 12:00 noon. If you subtract 67 minutes from this, at what minute into the next hour will the minute hand on the clock be pointing?
Claude-3 Opus:
Okay, let's break this down step by step: 1) First, let's understand what time it is when it's 73 minutes past 12:00 noon. 73 minutes is 1 hour and 13 minutes. So, 73 minutes past 12:00 noon is 1:13 PM. 2) Now, we need to subtract 67 minutes from 1:13 PM. 67 minutes is 1 hour and 7 minutes. So, if we subtract 1 hour and 7 minutes from 1:13 PM, we get 12:06 PM. 3) The question asks at what minute into the next hour the minute hand will be pointing. The next hour after 12:06 PM is 1:00 PM. And 12:06 PM is 6 minutes into the 12:00 hour. Therefore, the minute hand will be pointing at 6 minutes into the next hour, which is 1:00 PM. ### Answer: 6
Expected answer: 6
Correct? Yes
Problem: Continuing from the initial situation, suppose there are 73 minutes past 12:00 noon. But instead of subtracting 67 minutes from this as we did before, we subtract just 2 minutes. At what minute into the next hour will the minute hand on the clock be pointing now?
Claude-3 Opus:
Great! Let's solve this problem step by step. Given: - Initially, there are 73 minutes past 12:00 noon. - We need to subtract 2 minutes from this time. Step 1: Determine the time 73 minutes past 12:00 noon. 73 minutes past 12:00 noon is the same as 1:13 PM because 73 minutes is equal to 1 hour and 13 minutes. Step 2: Subtract 2 minutes from 1:13 PM. 1:13 PM - 2 minutes = 1:11 PM Step 3: Determine how many minutes into the next hour the minute hand will be pointing. The next hour after 1:11 PM is 2:00 PM. The minute hand will be pointing 11 minutes into the next hour. ### Answer: 11
Expected answer: 71
Correct? No
Problem: In the Pacific ocean, there are currently 97 dolphins. Unfortunately, 45 of them migrated to another place due to hunting activities. How many dolphins are left in the Pacific ocean?
Claude-3 Opus:
To solve this problem, let's organize the given information: * There are currently 97 dolphins in the Pacific ocean. * 45 dolphins migrated to another place due to hunting activities. To find out how many dolphins are left in the Pacific ocean, we need to subtract the number of dolphins that migrated from the total number of dolphins. Dolphins left = Total dolphins - Dolphins that migrated Dolphins left = 97 - 45 = 52 Therefore, there are 52 dolphins left in the Pacific ocean. ### Answer: 52
Expected answer: 52
Correct? Yes
Problem: Following the migration of some dolphins, a group of 19 dolphins from elsewhere discovered the now peaceful territory in the Pacific ocean and decided to join the remaining group. How many dolphins are now making the Pacific ocean their home?
Claude-3 Opus:
Great! Let's solve this problem step by step. We'll use the information from the previous question and the new information provided. Given: - After the migration, there were 52 dolphins left in the Pacific ocean. - A group of 19 dolphins from elsewhere joined the remaining group in the Pacific ocean. To find the total number of dolphins now making the Pacific ocean their home, we need to add the number of dolphins that joined the remaining group to the number of dolphins left after the migration. Total dolphins = Dolphins left after migration + Dolphins that joined Total dolphins = 52 + 19 = 71 Therefore, there are now 71 dolphins making the Pacific ocean their home. ### Answer: 71
Expected answer: 71
Correct? Yes
Problem: Remember the group of dolphins that made the pacific ocean their home? Well, let's consider a different scenario. Instead of 97 dolphins initially, say there were 61 dolphins in the beginning. After the same migration event where 45 dolphins left the area, how many dolphins would have been left in that scenario?
Claude-3 Opus:
Great! Let's solve this problem using the same approach as before, but with the new initial number of dolphins. Given: * In this scenario, there are 61 dolphins in the Pacific ocean initially. * 45 dolphins migrated to another place due to hunting activities. To find out how many dolphins would be left in the Pacific ocean in this scenario, we need to subtract the number of dolphins that migrated from the new total number of dolphins. Dolphins left = Total dolphins - Dolphins that migrated Dolphins left = 61 - 45 = 16 Therefore, in this scenario, there would be 16 dolphins left in the Pacific ocean after the migration event. ### Answer: 16
Expected answer: 16
Correct? Yes
Problem: There is 1 bus in the garage. The bus can hold up to 55 people. How many people can the bus in the garage hold?
Claude-3 Opus:
Okay, let's organize the information we have: * There is 1 bus in the garage. * Each bus can hold up to 55 people. To find out how many people the bus in the garage can hold, we simply need to multiply the number of buses by the capacity of each bus. Number of people the bus can hold = Number of buses × Capacity of each bus Number of people the bus can hold = 1 × 55 = 55 Therefore, the bus in the garage can hold 55 people. ### Answer: 55
Expected answer: 55
Correct? Yes
Problem: The bus in the garage has 1 seat occupied by the driver. The bus can hold up to 55 people including the driver. If 24 people get off the bus at the first stop, how many people are left on the bus?
Claude-3 Opus:
Let's organize the information we have: * The bus can hold up to 55 people, including the driver. * The driver occupies 1 seat on the bus. * 24 people get off the bus at the first stop. To find out how many people are left on the bus after the first stop, we need to: 1. Determine how many people were on the bus before the first stop. 2. Subtract the number of people who got off at the first stop. Step 1: Determine the number of people on the bus before the first stop * The bus was fully occupied, so there were 55 people on the bus, including the driver. Step 2: Subtract the number of people who got off at the first stop * People left on the bus = Total people on the bus - People who got off * People left on the bus = 55 - 24 = 31 Therefore, there are 31 people left on the bus after the first stop. ### Answer: 31
Expected answer: 31
Correct? Yes
Problem: Let's take the previous bus situation but this time, imagine that the bus can hold up to 52 people, including the driver, instead of 55. So, how many people can this bus hold now?
Claude-3 Opus:
Great! Let's update the problem with the new information: * There is 1 bus in the garage. * The bus can hold up to 52 people, including the driver. To find out how many people the bus can hold, we need to consider that the driver is already included in the total capacity. Number of people the bus can hold = Capacity of the bus (including the driver) Number of people the bus can hold = 52 Therefore, the bus in the garage can hold 52 people, which includes the driver and 51 passengers. ### Answer: 52
Expected answer: 52
Correct? Yes
Problem: Jenny made 28 cookies. Later, she decided to bake another batch and she made 42 cookies this time. Now, how many cookies does Jenny have in total?
Claude-3 Opus:
Let's organize the information we have: * Jenny made 28 cookies initially. * Later, she baked another batch of 42 cookies. To find the total number of cookies Jenny has, we need to add the number of cookies from both batches. Total cookies = Cookies in first batch + Cookies in second batch Total cookies = 28 + 42 Total cookies = <<28+42=70>>70 Therefore, Jenny has a total of 70 cookies. ### Answer: 70
Expected answer: 70
Correct? Yes
Problem: After baking all those cookies, Jenny decided to share some with her friends. She gave away 13 cookies. How many cookies does Jenny have left now?
Claude-3 Opus:
Let's organize the information we have: * Jenny had a total of 70 cookies. * She gave away 13 cookies to her friends. To find the number of cookies Jenny has left, we need to subtract the number of cookies she gave away from the total number of cookies she had. Remaining cookies = Total cookies - Cookies given away Remaining cookies = 70 - 13 Remaining cookies = <<70-13=57>>57 Therefore, Jenny has 57 cookies left. ### Answer: 57
Expected answer: 57
Correct? Yes
Problem: What if, instead of baking 28 cookies in the first batch, Jenny had only baked just 1 cookie? After that, she decided to bake another batch of 42 cookies. How many cookies does Jenny have in total then?
Claude-3 Opus:
Okay, let's update the information based on the new scenario: * Jenny made only 1 cookie initially. * Later, she baked another batch of 42 cookies. To find the total number of cookies Jenny has, we need to add the number of cookies from both batches. Total cookies = Cookies in first batch + Cookies in second batch Total cookies = 1 + 42 Total cookies = <<1+42=43>>43 Therefore, in this new scenario, Jenny has a total of 43 cookies. ### Answer: 43
Expected answer: 43
Correct? Yes
Problem: A lake has 35 million gallons of water. However, due to a heavy rain, an additional 45 million gallons of water was added to the lake. How many million gallons of water does the lake now contain in total?
Claude-3 Opus:
Let's organize the information we have: * The lake initially had 35 million gallons of water. * Due to heavy rain, an additional 45 million gallons of water was added to the lake. To find the total amount of water in the lake now, we need to add the initial amount of water and the additional water from the heavy rain. Initial water in the lake: 35 million gallons Additional water from heavy rain: 45 million gallons Total water in the lake = Initial water + Additional water Total water in the lake = 35 million gallons + 45 million gallons Total water in the lake = 80 million gallons ### Answer: The lake now contains a total of 80 million gallons of water.
Expected answer: 80
Correct? Yes
Problem: Suppose initially, the lake had 20 million gallons of water instead of 35 million gallons before the heavy rainfall. Now, how many million gallons of water does the lake contain in total after the same 45 million gallons of rainwater is added?
Claude-3 Opus:
Okay, let's update the information: * The lake initially had 20 million gallons of water (instead of 35 million gallons). * Due to heavy rain, an additional 45 million gallons of water was added to the lake. To find the total amount of water in the lake now, we need to add the initial amount of water and the additional water from the heavy rain. Initial water in the lake: 20 million gallons Additional water from heavy rain: 45 million gallons Total water in the lake = Initial water + Additional water Total water in the lake = 20 million gallons + 45 million gallons Total water in the lake = 65 million gallons ### Answer: The lake now contains a total of 65 million gallons of water.
Expected answer: 65
Correct? Yes
Problem: In a banquet hall, there are 34 tables on the left side and 19 tables on the right side. After a while, 52 tables were shifted to another hall for a different event. How many tables are left in the banquet hall after the shift?
Claude-3 Opus:
Let's solve this problem step by step: 1. Find the total number of tables in the banquet hall initially: * Tables on the left side = 34 * Tables on the right side = 19 * Total tables = 34 + 19 = 53 2. Calculate the number of tables left after 52 tables were shifted: * Tables shifted to another hall = 52 * Tables left in the banquet hall = Total tables - Tables shifted * Tables left in the banquet hall = 53 - 52 = 1 Therefore, after shifting 52 tables to another hall, there is only 1 table left in the banquet hall. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: After the end of the event, the management decided to add 35 more tables to the left side of the banquet hall along with the existing 34 tables. However, again 52 tables were moved out for another small event. Now, how many tables are left in the banquet hall after this shift?
Claude-3 Opus:
Great! Let's solve this problem step by step, considering the changes made to the number of tables in the banquet hall. Given: - Initially, there were 34 tables on the left side and 19 tables on the right side. - 35 more tables were added to the left side. - 52 tables were moved out for another small event. Step 1: Calculate the new number of tables on the left side after adding 35 more tables. New tables on the left side = Existing tables on the left side + Added tables New tables on the left side = 34 + 35 = 69 Step 2: Calculate the total number of tables in the banquet hall after adding the tables. Total tables = New tables on the left side + Tables on the right side Total tables = 69 + 19 = 88 Step 3: Calculate the number of tables left in the banquet hall after moving out 52 tables. Tables left = Total tables - Tables moved out Tables left = 88 - 52 = 36 Therefore, after adding 35 tables to the left side and moving out 52 tables for another small event, there are 36 tables left in the banquet hall. ### Answer: 36
Expected answer: 17
Correct? No
Problem: A superhero has saved 49 people from a devastating fire. Feeling inspired, he decides to save even more people. By the end of the day, he saves an additional 18 people from various crises around the city. How many people did the superhero save in total?
Claude-3 Opus:
Let's organize the information we have: * The superhero saved 49 people from a devastating fire. * Later, he saved an additional 18 people from various crises around the city. To find the total number of people the superhero saved, we need to add the number of people he saved from the fire and the number of people he saved from other crises. Total people saved = People saved from the fire + People saved from other crises Total people saved = 49 + 18 Total people saved = <<49+18=67>>67 Therefore, the superhero saved a total of 67 people that day. ### Answer: 67
Expected answer: 67
Correct? Yes
Problem: After his successful day of rescues, the superhero becomes even more determined to protect his city. Suppose instead of the 49 people he initially saved, he had actually saved 80 people. Then, he still performs additional rescues throughout the day and saves another 18 people. How many people would the superhero have saved in total in this scenario?
Claude-3 Opus:
In this new scenario, let's organize the updated information: * The superhero saved 80 people from a devastating fire (instead of 49). * Later, he saved an additional 18 people from various crises around the city (same as before). To find the total number of people the superhero saved in this scenario, we need to add the updated number of people he saved from the fire and the number of people he saved from other crises. Total people saved = People saved from the fire + People saved from other crises Total people saved = 80 + 18 Total people saved = <<80+18=98>>98 Therefore, in this scenario, the superhero would have saved a total of 98 people that day. ### Answer: 98
Expected answer: 98
Correct? Yes
Problem: An artist has 88 tubes of paint. After creating a series of paintings, he realizes that he is left with 66 tubes. How many tubes of paint did he use in his creation?
Claude-3 Opus:
To solve this problem, let's organize the given information: * The artist initially had 88 tubes of paint. * After creating the paintings, he was left with 66 tubes. To find out how many tubes of paint he used, we need to subtract the remaining tubes from the initial number of tubes. Tubes used = Initial tubes - Remaining tubes Tubes used = 88 - 66 = 22 Therefore, the artist used 22 tubes of paint in his creation. ### Answer: 22
Expected answer: 22
Correct? Yes
Problem: Let's consider a different scenario. Suppose the artist started with the same 88 tubes of paint, but after working, he found that he was left with 69 tubes. How many tubes of paint did he use in this situation?
Claude-3 Opus:
Great! Let's solve this problem using the same approach as before. Given: * The artist initially had 88 tubes of paint. * After creating the paintings, he was left with 69 tubes. To find the number of tubes used, we subtract the remaining tubes from the initial number of tubes. Tubes used = Initial tubes - Remaining tubes Tubes used = 88 - 69 = 19 So, in this scenario, the artist used 19 tubes of paint. ### Answer: 19
Expected answer: 19
Correct? Yes
Problem: In a Bubble village, there are 16 light pink bubbles. 46 dark pink bubbles float in from a neighboring village and join the light pink bubbles. How many bubbles are there in the Bubble village altogether?
Claude-3 Opus:
Let's organize the information we have: * There are 16 light pink bubbles in the Bubble village. * 46 dark pink bubbles float in from a neighboring village and join the light pink bubbles. To find the total number of bubbles in the Bubble village, we need to add the number of light pink bubbles and the number of dark pink bubbles. Number of light pink bubbles = 16 Number of dark pink bubbles = 46 Total number of bubbles = Number of light pink bubbles + Number of dark pink bubbles Total number of bubbles = 16 + 46 = <<16+46=62>>62 Therefore, there are 62 bubbles in the Bubble village altogether. ### Answer: 62
Expected answer: 62
Correct? Yes
Problem: In a Bubble village, there are 16 light pink bubbles. 46 dark pink bubbles float in from a neighboring village and join the light pink bubbles. Then, a bubbly wind blew and brought in 13 more multi-colored bubbles into the village. How many bubbles are there in the Bubble village now?
Claude-3 Opus:
Let's organize the information we have: * There are 16 light pink bubbles in the Bubble village. * 46 dark pink bubbles float in from a neighboring village and join the light pink bubbles. * A bubbly wind blew and brought in 13 more multi-colored bubbles into the village. To find the total number of bubbles in the Bubble village now, we need to add the number of light pink bubbles, the number of dark pink bubbles, and the number of multi-colored bubbles. Number of light pink bubbles = 16 Number of dark pink bubbles = 46 Number of multi-colored bubbles = 13 Total number of bubbles = Number of light pink bubbles + Number of dark pink bubbles + Number of multi-colored bubbles Total number of bubbles = 16 + 46 + 13 = <<16+46+13=75>>75 Therefore, there are 75 bubbles in the Bubble village now. ### Answer: 75
Expected answer: 75
Correct? Yes
Problem: In the Bubble village, initially there were 16 light pink bubbles. But instead of 46 dark pink bubbles that floated in from a neighboring village, suppose there were 63 dark pink bubbles. How many bubbles will be there in the Bubble village now?
Claude-3 Opus:
Okay, let's update the information: * There are 16 light pink bubbles in the Bubble village. * 63 dark pink bubbles float in from a neighboring village and join the light pink bubbles. To find the total number of bubbles in the Bubble village, we need to add the number of light pink bubbles and the updated number of dark pink bubbles. Number of light pink bubbles = 16 Number of dark pink bubbles = 63 Total number of bubbles = Number of light pink bubbles + Number of dark pink bubbles Total number of bubbles = 16 + 63 = <<16+63=79>>79 Therefore, with the updated number of dark pink bubbles, there will be 79 bubbles in the Bubble village altogether. ### Answer: 79
Expected answer: 79
Correct? Yes
Problem: A farmer planted 58 new apple trees in his orchard. After a few weeks, he planted an additional 2 apple trees. How many apple trees do the farmer have in all?
Claude-3 Opus:
Let's organize the information we have: * The farmer initially planted 58 new apple trees. * After a few weeks, he planted 2 more apple trees. To find the total number of apple trees the farmer has, we need to add the number of trees he planted initially and the number of trees he planted later. Total apple trees = Initial planting + Later planting Total apple trees = 58 + 2 Total apple trees = 60 Therefore, the farmer has a total of 60 apple trees in his orchard. ### Answer: 60
Expected answer: 60
Correct? Yes
Problem: After reviewing his records, the farmer realized that he made a mistake when counting. He originally had planted 29 apple trees, not 58. He still added the same 2 additional trees later. Now, how many apple trees does the farmer have in total?
Claude-3 Opus:
Okay, let's update the information based on the farmer's corrected records: * The farmer initially planted 29 apple trees (not 58 as previously stated). * He still planted 2 more apple trees after a few weeks. Now, let's calculate the total number of apple trees the farmer has: Total apple trees = Initial planting + Later planting Total apple trees = 29 + 2 Total apple trees = 31 Therefore, after correcting his records, the farmer has a total of 31 apple trees in his orchard. ### Answer: 31
Expected answer: 31
Correct? Yes
Problem: Susie has a collection of roller skates. She has 44 pairs of roller skates in her bedroom. She has the exact same number of roller skates in her basement. How many pairs of roller skates does Susie have in total?
Claude-3 Opus:
Let's organize the information we have: * Susie has 44 pairs of roller skates in her bedroom. * She has the same number of roller skates in her basement. To find the total number of pairs of roller skates Susie has, we need to: 1. Find the number of pairs of roller skates in her basement. 2. Add the number of pairs in her bedroom and basement. Step 1: Number of pairs of roller skates in her basement * Susie has the same number of roller skates in her basement as in her bedroom. * So, she has 44 pairs of roller skates in her basement. Step 2: Total number of pairs of roller skates * Total pairs = Pairs in bedroom + Pairs in basement * Total pairs = 44 + 44 * Total pairs = 88 Therefore, Susie has a total of 88 pairs of roller skates. ### Answer: 88
Expected answer: 88
Correct? Yes
Problem: Susie was mistaken about the number of pairs of roller skates she owns. Instead of 44, she has 16 pairs of roller skates in her bedroom, and she also has the same quantity in her basement. How many pairs of roller skates does she actually have in total?
Claude-3 Opus:
Okay, let's update the information based on the new details: * Susie has 16 pairs of roller skates in her bedroom, not 44. * She has the same number of roller skates in her basement. To find the total number of pairs of roller skates Susie actually has, we need to: 1. Find the number of pairs of roller skates in her basement. 2. Add the number of pairs in her bedroom and basement. Step 1: Number of pairs of roller skates in her basement * Susie has the same number of roller skates in her basement as in her bedroom. * So, she has 16 pairs of roller skates in her basement. Step 2: Total number of pairs of roller skates * Total pairs = Pairs in bedroom + Pairs in basement * Total pairs = 16 + 16 * Total pairs = 32 Therefore, Susie actually has a total of 32 pairs of roller skates. ### Answer: 32
Expected answer: 32
Correct? Yes
Problem: Amy was trying to pair all her socks. In one box, she found 19 red socks, and in another, she found 41 blue socks. She had originally thought she had 87 total socks. How many socks does she have left to find and pair after considering the red and blue socks?
Claude-3 Opus:
Let's organize the information we have: * Amy found 19 red socks in one box * She found 41 blue socks in another box * She originally thought she had a total of 87 socks To find out how many socks she has left to find and pair, we need to: 1. Calculate the total number of red and blue socks 2. Subtract the total of red and blue socks from the original total of 87 socks Step 1: Calculate the total number of red and blue socks * Total red and blue socks = 19 (red socks) + 41 (blue socks) = 60 socks Step 2: Subtract the total of red and blue socks from the original total of 87 socks * Remaining socks = 87 (original total) - 60 (red and blue socks) = 27 socks Therefore, Amy has 27 socks left to find and pair after considering the red and blue socks. ### Answer: 27
Expected answer: 27
Correct? Yes
Problem: Amy remembered that she actually found 16 blue socks, not 41, in the other box along with the 19 red socks. With this new count, how many socks does she have left to find and pair from the original total of 87 socks?
Claude-3 Opus:
Let's update the information based on Amy's new count: * Amy found 19 red socks in one box * She actually found 16 blue socks in the other box (not 41) * She originally thought she had a total of 87 socks Now, let's recalculate how many socks she has left to find and pair: Step 1: Calculate the total number of red and blue socks * Total red and blue socks = 19 (red socks) + 16 (blue socks) = 35 socks Step 2: Subtract the total of red and blue socks from the original total of 87 socks * Remaining socks = 87 (original total) - 35 (red and blue socks) = 52 socks With the updated count of blue socks, Amy has 52 socks left to find and pair from the original total of 87 socks. ### Answer: 52
Expected answer: 52
Correct? Yes
Problem: A wizard has concocted a magical spell that requires the combination of 11 different herbs and 57 assorted crystals. In a different potion, the wizard needs to combine 26 rare ingredients as well as all the ingredients he used in the first spell. How many total ingredients does the wizard need for the second potion?
Claude-3 Opus:
Let's organize the information we have: * The first spell requires: - 11 different herbs - 57 assorted crystals * The second potion needs: - 26 rare ingredients - All the ingredients from the first spell To find the total number of ingredients needed for the second potion, we need to: 1. Calculate the total number of ingredients in the first spell 2. Add the number of rare ingredients needed for the second potion to the total from step 1 Step 1: Total ingredients in the first spell * Total ingredients = Number of herbs + Number of crystals * Total ingredients = 11 + 57 = 68 Step 2: Total ingredients needed for the second potion * Total ingredients = Ingredients from the first spell + Rare ingredients for the second potion * Total ingredients = 68 + 26 = 94 Therefore, the wizard needs a total of 94 ingredients for the second potion. ### Answer: 94
Expected answer: 94
Correct? Yes
Problem: After the wizard consolidated his potion-making knowledge from his earlier concoctions, he decided to modify the second potion. Instead of combining 26 rare ingredients as he did previously, he opts to combine only 18 rare ingredients with all the ingredients from the first potion. How many total ingredients does the wizard now need for this modified version of the second potion?
Claude-3 Opus:
Let's update the information for the modified version of the second potion: * The first spell still requires: - 11 different herbs - 57 assorted crystals * The modified second potion now needs: - 18 rare ingredients (instead of 26) - All the ingredients from the first spell We can use the same steps as before to find the total number of ingredients needed for the modified second potion: 1. Calculate the total number of ingredients in the first spell (unchanged) 2. Add the updated number of rare ingredients needed for the modified second potion to the total from step 1 Step 1: Total ingredients in the first spell * Total ingredients = Number of herbs + Number of crystals * Total ingredients = 11 + 57 = 68 Step 2: Total ingredients needed for the modified second potion * Total ingredients = Ingredients from the first spell + Updated rare ingredients for the modified second potion * Total ingredients = 68 + 18 = 86 Therefore, the wizard now needs a total of 86 ingredients for the modified version of the second potion. ### Answer: 86
Expected answer: 86
Correct? Yes
Problem: You have a map containing 13 treasure locations. Then, you found another map containing 55 more locations. How many treasure locations are there in total on both maps?
Claude-3 Opus:
To find the total number of treasure locations on both maps, we need to add the number of locations from each map together. Given: - The first map has 13 treasure locations. - The second map has 55 treasure locations. To calculate the total number of treasure locations, we add the locations from both maps: 13 + 55 = 68 Therefore, there are a total of 68 treasure locations on both maps combined. ### Answer: 68
Expected answer: 68
Correct? Yes
Problem: Suppose that instead of finding another map with 55 treasure locations, you found a map with 83 additional locations. Now, how many treasure locations are there in total on both maps?
Claude-3 Opus:
In this new scenario, we have the original map with 13 treasure locations and a new map with 83 treasure locations. To find the total number of treasure locations on both maps, we need to add the number of locations from each map together. Given: - The first map has 13 treasure locations. - The second map has 83 treasure locations. To calculate the total number of treasure locations, we add the locations from both maps: 13 + 83 = 96 Therefore, there are a total of 96 treasure locations on both maps combined. ### Answer: 96
Expected answer: 96
Correct? Yes
Problem: You have a vegetable garden with a special spot dedicated to growing carrots. Initially, you planted 26 carrot seeds. A few weeks later, you added 22 more seeds. How many carrot seeds are there in total in your carrot spot?
Claude-3 Opus:
To solve this problem, let's organize the given information: * Initially, you planted 26 carrot seeds. * A few weeks later, you added 22 more seeds. Now, let's find the total number of carrot seeds: * Total carrot seeds = Initial seeds + Added seeds * Total carrot seeds = 26 + 22 * Total carrot seeds = <<26+22=48>>48 Therefore, there are 48 carrot seeds in total in your carrot spot. ### Answer: 48
Expected answer: 48
Correct? Yes
Problem: You have a vegetable garden with a special spot dedicated to growing carrots. Initially, you planted 26 carrot seeds. A few weeks later, you added 22 more seeds. How many carrot seeds are there in total? Now, your neighbor gives you an additional same number of carrot seeds as the ones you initially planted (26 seeds). After adding these seeds too, how many carrot seeds do you have in total?
Claude-3 Opus:
Great! Let's solve this problem step by step. We'll start with the information from the previous question and then add the new information. Given: * Initially, you planted 26 carrot seeds. * A few weeks later, you added 22 more seeds. * The total number of carrot seeds after adding 22 more seeds was 48. * Your neighbor gives you an additional 26 carrot seeds (the same number as you initially planted). Step 1: Calculate the new total number of carrot seeds after adding the seeds from your neighbor. * New total carrot seeds = Previous total + Seeds from your neighbor * New total carrot seeds = 48 + 26 * New total carrot seeds = <<48+26=74>>74 Therefore, after adding the additional 26 carrot seeds from your neighbor, you now have a total of 74 carrot seeds in your carrot spot. ### Answer: 74
Expected answer: 74
Correct? Yes
Problem: In the previous problem, you initially planted 26 carrot seeds in your vegetable garden. But imagine if instead, you initially put 55 carrot seeds. And then a few weeks later, you added the same 22 more seeds. How many carrot seeds would there be in total in that case?
Claude-3 Opus:
Great! Let's solve this problem using the new information you provided. Given: * Initially, you planted 55 carrot seeds. * A few weeks later, you added 22 more seeds. To find the total number of carrot seeds, we need to add the initial seeds and the added seeds: * Total carrot seeds = Initial seeds + Added seeds * Total carrot seeds = 55 + 22 * Total carrot seeds = <<55+22=77>>77 In this case, there would be 77 carrot seeds in total in your carrot spot. ### Answer: 77
Expected answer: 77
Correct? Yes
Problem: At a beach party, there are 21 beach balls being played with. Suddenly, another batch of beach balls just as big as the first one arrived. How many beach balls are there at the party now?
Claude-3 Opus:
Let's solve this problem step by step: 1. Initially, there were 21 beach balls at the party. 2. Another batch of beach balls arrived, which was just as big as the first one. This means the number of beach balls in the second batch is equal to the number of beach balls in the first batch. 3. To find the total number of beach balls at the party now, we need to add the number of beach balls in the first batch and the second batch. First batch of beach balls = 21 Second batch of beach balls = 21 (same as the first batch) Total beach balls = First batch + Second batch = 21 + 21 = 42 Therefore, there are now 42 beach balls at the party. ### Answer: 42
Expected answer: 42
Correct? Yes
Problem: At the beach party mentioned earlier, there were some beach balls already in a storage unit. After adding all the played and newly received beach balls, the total number of beach balls fell short of 62. How many beach balls were originally in the storage unit before the party?
Claude-3 Opus:
Let's organize the information we have: - Initially, there were 21 beach balls being played with at the party. - Another batch of beach balls, equal in number to the first batch, arrived later. - There were some beach balls already in the storage unit before the party. - After adding all the played and newly received beach balls to the storage unit, the total number of beach balls was less than 62. To find the number of beach balls originally in the storage unit, we can: 1. Calculate the total number of beach balls that were played with and newly received. 2. Subtract this number from the total number of beach balls after adding them to the storage unit. Beach balls played with = 21 Beach balls newly received = 21 (same as the played with) Total beach balls played with and newly received = 21 + 21 = 42 Let's say the total number of beach balls after adding them to the storage unit is 61 (since it's less than 62). Beach balls originally in the storage unit = Total beach balls after adding - Total beach balls played with and newly received = 61 - 42 = 19 Therefore, there were 19 beach balls originally in the storage unit before the party. ### Answer: 19
Expected answer: 20
Correct? No
Problem: In our previous beach party scenario, what if there were originally 29 beach balls being played with instead of 21, and again, another batch of beach balls just as big as the first one arrived? How many beach balls would there be at the party in this case?
Claude-3 Opus:
Great! Let's solve this problem using the same approach as before, but with the updated information. Given: - Initially, there were 29 beach balls at the party. - Another batch of beach balls arrived, which was just as big as the first one. Step 1: Determine the number of beach balls in the second batch. Second batch of beach balls = First batch of beach balls = 29 Step 2: Calculate the total number of beach balls at the party now. Total beach balls = First batch + Second batch = 29 + 29 = 58 Therefore, with 29 beach balls in the first batch and another batch of the same size arriving, there would be 58 beach balls at the party. ### Answer: 58
Expected answer: 58
Correct? Yes