Claude-3 Sonnet on 1.OA.D.8
Common Core Standard 1.OA.D.8
This standard covers the following:
Determine the unknown whole number in an addition or subtraction equation relating three whole numbers.
Problem: A number game starts with the number 13. To reach the number 14, a certain number must be added. What is that number?
Claude-3 Sonnet:
To solve this problem, we need to find the number that needs to be added to 13 to reach 14. Given information: - The game starts with the number 13. - To reach the number 14, a certain number must be added. To find the number that needs to be added, we can subtract 13 from 14. 14 - 13 = 1 Therefore, the number that needs to be added to 13 to reach 14 is 1. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: A car rental company had a total of 17 cars available in the morning. By the end of the day, they only had 4 cars left. How many cars were rented out during the day?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the total number of cars available in the morning and the number of cars left at the end of the day. Given information: - The car rental company had a total of 17 cars available in the morning. - At the end of the day, they had 4 cars left. Step 1: Find the number of cars rented out during the day. Number of cars rented out = Total cars available in the morning - Cars left at the end of the day Number of cars rented out = 17 - 4 Number of cars rented out = 13 Therefore, 13 cars were rented out during the day. ### Answer: 13
Expected answer: 13
Correct? Yes
Problem: A butterfly collector managed to catch 13 beautiful butterflies one morning. If at the end of the day there are only 6 butterflies in his collection, how many butterflies flew away during the day?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the number of butterflies caught in the morning and the number of butterflies remaining at the end of the day. Given information: - The butterfly collector caught 13 butterflies in the morning. - At the end of the day, there were 6 butterflies in the collection. Step 1: Find the number of butterflies that flew away during the day. Number of butterflies that flew away = Number of butterflies caught in the morning - Number of butterflies remaining at the end of the day Number of butterflies that flew away = 13 - 6 Number of butterflies that flew away = 7 Therefore, 7 butterflies flew away during the day. ### Answer: 7
Expected answer: 7
Correct? Yes
Problem: After a birthday party, you see one piece of cake left. If you originally had a whole cake that was cut into h slices, and each slice was equal in size, then how many slices were there in the whole cake, given that 12 pieces have been eaten during the party?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of slices in the whole cake, given that one slice is left and 12 slices have been eaten. Given information: - There is one piece of cake left. - The whole cake was cut into h equal slices. - 12 pieces have been eaten during the party. Let's represent the total number of slices in the whole cake as h. Since 12 slices have been eaten and one slice is left, we can write the equation: 12 + 1 = h Solving for h: h = 12 + 1 h = 13 Therefore, the whole cake was cut into 13 equal slices. ### Answer: 13
Expected answer: 13
Correct? Yes
Problem: Anne has a collection of socks. She bought 15 new pairs and now she has a total of 20 pairs of socks. How many pairs did she originally have?
Claude-3 Sonnet:
To solve this problem, we need to find the number of pairs of socks Anne had originally before buying the new pairs. Given information: - Anne bought 15 new pairs of socks. - After buying the new pairs, she has a total of 20 pairs of socks. Let's represent the number of pairs of socks Anne had originally as x. We know that the total number of pairs of socks after buying the new pairs is the sum of the original pairs and the new pairs. Total pairs after buying = Original pairs + New pairs 20 = x + 15 Rearranging the equation, we get: x = 20 - 15 x = 5 Therefore, Anne originally had 5 pairs of socks before buying the new 15 pairs. ### Answer: 5
Expected answer: 5
Correct? Yes
Problem: A party decorator started with 8 helium balloons. After several accidents, only 1 balloon remained uninflated. How many balloons did the decorator accidentally inflate?
Claude-3 Sonnet:
To solve this problem, we need to find the number of balloons that were inflated before the accidents occurred. Given information: - The party decorator started with 8 helium balloons. - After the accidents, only 1 balloon remained uninflated. Let's assume that the number of balloons inflated before the accidents is x. Since the decorator started with 8 balloons and only 1 remained uninflated, we can write the equation: x + 1 = 8 Solving for x: x = 8 - 1 x = 7 Therefore, the decorator accidentally inflated 7 balloons. ### Answer: 7
Expected answer: 7
Correct? Yes
Problem: Jane started with 4 pencils. By the end of the day, she had 5 pencils. How many pencils did she find during the day?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the number of pencils Jane had at the end of the day and the number of pencils she started with. Given information: - Jane started with 4 pencils. - By the end of the day, she had 5 pencils. Step 1: Find the difference between the number of pencils at the end of the day and the number of pencils at the start of the day. Number of pencils at the end of the day - Number of pencils at the start of the day = Number of pencils found during the day 5 - 4 = 1 Therefore, Jane found 1 pencil during the day. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: Oliver the dog has collected a total of 'o' bones in his backyard. If he would give 19 of these bones to his friend, he would be left with only 1 bone. How many bones did Oliver originally have in his backyard?
Claude-3 Sonnet:
To solve this problem, we need to find the value of 'o' (the total number of bones Oliver originally had) using the given information. Given information: - Oliver originally had 'o' bones in his backyard. - If he gives away 19 bones to his friend, he will be left with only 1 bone. We can represent this situation using an equation: o - 19 = 1 Rearranging the equation to solve for 'o': o = 1 + 19 o = 20 Therefore, Oliver originally had 20 bones in his backyard. ### Answer: 20
Expected answer: 20
Correct? Yes
Problem: A superhero has a base super strength level of 1. However, when our superhero dons their super strength amulet, their strength level enhances to a total of 12 units. How many extra strength units does the super strength amulet provide?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the superhero's strength level with the amulet and their base strength level. Given information: - The superhero's base strength level is 1. - The superhero's strength level with the amulet is 12. Step 1: Find the extra strength units provided by the amulet. Extra strength units = Strength level with the amulet - Base strength level Extra strength units = 12 - 1 Extra strength units = 11 Therefore, the super strength amulet provides 11 extra strength units to the superhero. ### Answer: 11
Expected answer: 11
Correct? Yes
Problem: A train station has 17 trains scheduled for departure in a day. By late evening, only 15 are left to depart. How many trains have already departed during the day?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the total number of trains scheduled for departure and the number of trains left to depart. Given information: - The train station has 17 trains scheduled for departure in a day. - By late evening, only 15 trains are left to depart. Step 1: Find the number of trains that have already departed during the day. Number of trains that have already departed = Total trains scheduled - Trains left to depart Number of trains that have already departed = 17 - 15 Number of trains that have already departed = 2 Therefore, 2 trains have already departed during the day. ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: A pencil factory had 11 pencils ready in the morning. By the end of the day, they had a total of 16 pencils after making a few more. How many more pencils did the factory make during the day?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the total number of pencils at the end of the day and the number of pencils they had in the morning. Given information: - The factory had 11 pencils in the morning. - At the end of the day, they had a total of 16 pencils. Step 1: Find the number of pencils made during the day. Number of pencils made during the day = Total number of pencils at the end of the day - Number of pencils in the morning Number of pencils made during the day = 16 - 11 Number of pencils made during the day = 5 Therefore, the factory made 5 more pencils during the day. ### Answer: 5
Expected answer: 5
Correct? Yes
Problem: The lifeguard started the day with a certain number of towels, but after handing some out, he only had 10 remaining. If he originally had 9 more than the remaining amount, how many towels did the lifeguard start with?
Claude-3 Sonnet:
To solve this problem, we need to find the initial number of towels the lifeguard had. Given information: - The lifeguard had 10 towels remaining after handing some out. - The initial number of towels was 9 more than the remaining amount. Let's represent the initial number of towels as x. Since the initial number of towels was 9 more than the remaining amount, we can write the equation: x = 10 + 9 x = 19 Therefore, the lifeguard started with 19 towels. ### Answer: 19
Expected answer: 19
Correct? Yes
Problem: There were originally 14 candy bars in the candy jar. After a few hours, there are only 10 candy bars left. How many candy bars were taken?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the original number of candy bars and the number of candy bars left. Given information: - There were originally 14 candy bars in the candy jar. - After a few hours, there are only 10 candy bars left. Step 1: Find the number of candy bars taken. Number of candy bars taken = Original number of candy bars - Number of candy bars left Number of candy bars taken = 14 - 10 Number of candy bars taken = 4 Therefore, 4 candy bars were taken from the candy jar. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: In a park, there were originally 19 swings. After some use, there were only 14 swings left undamaged. How many swings were damaged?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the original number of swings and the number of undamaged swings left. Given information: - There were originally 19 swings in the park. - After some use, there were 14 swings left undamaged. Step 1: Find the number of swings that were damaged. Number of swings damaged = Original number of swings - Number of undamaged swings left Number of swings damaged = 19 - 14 Number of swings damaged = 5 Therefore, 5 swings were damaged in the park. ### Answer: 5
Expected answer: 5
Correct? Yes
Problem: A bottle manufacturing factory had already produced 5 bottles this morning, but their daily goal was to produce 12 bottles. How many more bottles need to be produced to reach the goal?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the daily goal and the number of bottles already produced. Given information: - The factory had already produced 5 bottles this morning. - The daily goal is to produce 12 bottles. Step 1: Find the difference between the daily goal and the number of bottles already produced. Daily goal - Number of bottles already produced = Number of bottles needed to reach the goal 12 bottles - 5 bottles = 7 bottles Therefore, the factory needs to produce 7 more bottles to reach the daily goal of 12 bottles. ### Answer: 7
Expected answer: 7
Correct? Yes
Problem: Samantha has 13 green crayons. In total, she has 15 crayons. How many of her crayons are not green?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the total number of crayons and the number of green crayons. Given information: - Samantha has 13 green crayons. - Samantha has a total of 15 crayons. Step 1: Find the number of crayons that are not green. Number of crayons that are not green = Total number of crayons - Number of green crayons Number of crayons that are not green = 15 - 13 Number of crayons that are not green = 2 Therefore, Samantha has 2 crayons that are not green. ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: A photography store starts the day with 9 digital cameras in stock. By the end of the day, they have 14 digital cameras in the store after receiving new stock. How many new digital cameras did they receive?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the number of digital cameras at the end of the day and the number of digital cameras at the start of the day. Given information: - The store starts the day with 9 digital cameras in stock. - At the end of the day, they have 14 digital cameras in the store after receiving new stock. Step 1: Find the number of new digital cameras received. Number of new digital cameras received = Number of digital cameras at the end of the day - Number of digital cameras at the start of the day Number of new digital cameras received = 14 - 9 Number of new digital cameras received = 5 Therefore, the photography store received 5 new digital cameras during the day. ### Answer: 5
Expected answer: 5
Correct? Yes
Problem: A camper has 4 sleeping bags in their tent. Later on, they find 11 sleeping bags in total after their friends drop off their bags. How many sleeping bags did the camper's friends bring?
Claude-3 Sonnet:
To solve this problem, we need to find the number of sleeping bags the camper's friends brought by subtracting the number of sleeping bags the camper already had from the total number of sleeping bags. Given information: - The camper initially had 4 sleeping bags in their tent. - After the friends dropped off their bags, there were 11 sleeping bags in total. Step 1: Find the number of sleeping bags the camper's friends brought. Number of sleeping bags the camper's friends brought = Total number of sleeping bags - Number of sleeping bags the camper initially had Number of sleeping bags the camper's friends brought = 11 - 4 Number of sleeping bags the camper's friends brought = 7 Therefore, the camper's friends brought 7 sleeping bags. ### Answer: 7
Expected answer: 7
Correct? Yes
Problem: A crazy cat lady had 7 cats. After adopting a number of stray cats, her total number of cats increased to 20. How many stray cats did she adopt?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the initial number of cats and the final number of cats. Given information: - The crazy cat lady initially had 7 cats. - After adopting some stray cats, the total number of cats increased to 20. Step 1: Find the number of stray cats adopted. Number of stray cats adopted = Final number of cats - Initial number of cats Number of stray cats adopted = 20 - 7 Number of stray cats adopted = 13 Therefore, the crazy cat lady adopted 13 stray cats. ### Answer: 13
Expected answer: 13
Correct? Yes
Problem: Bill found 1 pair of binoculars in his drawer. He then realized that his total number of binoculars is 19 pairs when he added the ones he found in the attic. How many binoculars did Bill find in his attic?
Claude-3 Sonnet:
To solve this problem, we need to find the number of binoculars Bill found in the attic. Given information: - Bill found 1 pair of binoculars in his drawer. - The total number of binoculars Bill has, including the ones found in the attic, is 19 pairs. Step 1: Convert the number of pairs into the number of individual binoculars. Number of binoculars found in the drawer = 1 pair × 2 binoculars per pair = 2 binoculars Total number of binoculars = 19 pairs × 2 binoculars per pair = 38 binoculars Step 2: Find the number of binoculars Bill found in the attic. Number of binoculars found in the attic = Total number of binoculars - Number of binoculars found in the drawer Number of binoculars found in the attic = 38 binoculars - 2 binoculars = 36 binoculars Step 3: Convert the number of individual binoculars found in the attic back to pairs. Number of pairs of binoculars found in the attic = 36 binoculars ÷ 2 binoculars per pair = 18 pairs Therefore, Bill found 18 pairs of binoculars in the attic. ### Answer: 18
Expected answer: 18
Correct? Yes
Problem: In a wildlife sanctuary, at the start of the day, there were 14 elephants hanging around the water hole. By afternoon, the number of elephants increased to 16. How many new elephants arrived at the water hole?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the number of elephants in the afternoon and the number of elephants at the start of the day. Given information: - At the start of the day, there were 14 elephants at the water hole. - By afternoon, the number of elephants increased to 16. Step 1: Find the difference between the number of elephants in the afternoon and the number of elephants at the start of the day. Number of elephants in the afternoon - Number of elephants at the start of the day = Number of new elephants arrived 16 - 14 = 2 Therefore, 2 new elephants arrived at the water hole. ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: A mountain climber starts at a point that is m feet high. After climbing downwards for a while, they reach a point that's 10 feet high. If they had climbed down 4 feet to reach this point, how high was the point where they started?
Claude-3 Sonnet:
To solve this problem, we need to find the initial height (m) of the mountain climber. Given information: - The mountain climber starts at a point that is m feet high. - After climbing downwards, they reach a point that is 10 feet high. - They climbed down 4 feet to reach this point. We can represent the initial height (m) as: m = (Height after climbing down) + (Distance climbed down) m = 10 feet + 4 feet m = 14 feet Therefore, the point where the mountain climber started was 14 feet high. ### Answer: 14
Expected answer: 14
Correct? Yes
Problem: The color palette had a total of 12 color options. If 6 of those colors were warm colors, how many were cool colors?
Claude-3 Sonnet:
To solve this problem, we need to find the number of cool colors in the color palette. Given information: - The color palette had a total of 12 color options. - 6 of those colors were warm colors. Since the total number of colors is 12, and 6 of them are warm colors, we can find the number of cool colors by subtracting the number of warm colors from the total number of colors. Number of cool colors = Total number of colors - Number of warm colors Number of cool colors = 12 - 6 Number of cool colors = 6 Therefore, there were 6 cool colors in the color palette. ### Answer: 6
Expected answer: 6
Correct? Yes
Problem: A pirate had 8 shiny gold coins in his treasure chest in the morning. By sunset, he had a total of 14 shiny gold coins in his chest. How many shiny gold coins did the pirate find during the day?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the number of coins the pirate had in the morning and the total number of coins he had by sunset. Given information: - The pirate had 8 shiny gold coins in his treasure chest in the morning. - By sunset, the pirate had a total of 14 shiny gold coins in his chest. Step 1: Find the number of shiny gold coins the pirate found during the day. Number of coins found during the day = Total number of coins by sunset - Number of coins in the morning Number of coins found during the day = 14 - 8 Number of coins found during the day = 6 Therefore, the pirate found 6 shiny gold coins during the day. ### Answer: 6
Expected answer: 6
Correct? Yes
Problem: A turtle starts with 8 pieces of lettuce. After eating some more lettuce, it ends up with a total of 19 pieces of lettuce. How many pieces of lettuce does the turtle eat?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the final number of pieces of lettuce and the initial number of pieces of lettuce. Given information: - The turtle starts with 8 pieces of lettuce. - The turtle ends up with a total of 19 pieces of lettuce. Step 1: Find the number of pieces of lettuce the turtle ate. Number of pieces of lettuce the turtle ate = Final number of pieces of lettuce - Initial number of pieces of lettuce Number of pieces of lettuce the turtle ate = 19 - 8 Number of pieces of lettuce the turtle ate = 11 Therefore, the turtle ate 11 pieces of lettuce. ### Answer: 11
Expected answer: 11
Correct? Yes
Problem: A river was flowing at a speed of 6 km/hr by late morning. In the early morning, its speed was 4 km/hr less. What was the speed of the river in the early morning?
Claude-3 Sonnet:
To solve this problem, we need to find the speed of the river in the early morning. Given information: - The speed of the river in the late morning was 6 km/hr. - The speed of the river in the early morning was 4 km/hr less than the speed in the late morning. Let's represent the speed of the river in the early morning as x. According to the given information, we can write an equation: x + 4 = 6 (since the speed in the late morning is 4 km/hr more than the speed in the early morning) Solving for x: x + 4 = 6 x = 6 - 4 x = 2 Therefore, the speed of the river in the early morning was 2 km/hr. ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: In a children's alphabet game, there were initially 6 letter blocks. After a while, only 1 letter block remained on the game station. How many letter blocks were removed from the game station?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the initial number of letter blocks and the number of letter blocks remaining on the game station. Given information: - Initially, there were 6 letter blocks on the game station. - After a while, only 1 letter block remained on the game station. Number of letter blocks removed = Initial number of letter blocks - Number of letter blocks remaining Number of letter blocks removed = 6 - 1 Number of letter blocks removed = 5 Therefore, 5 letter blocks were removed from the game station. ### Answer: 5
Expected answer: 5
Correct? Yes
Problem: At a party, 3 people decided to leave early. After their departure, 15 people remained at the party. How many people were originally at the party before anyone left?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of people at the party before anyone left. Given information: - 3 people decided to leave early. - After their departure, 15 people remained at the party. Let's represent the total number of people at the party before anyone left as x. We know that after 3 people left, the remaining number of people is 15. So, we can write the equation: x - 3 = 15 Solving for x: x - 3 = 15 x = 15 + 3 x = 18 Therefore, there were originally 18 people at the party before anyone left. ### Answer: 18
Expected answer: 18
Correct? Yes
Problem: Lucy has 9 letters in her mailbox initially. By the end of the day, she receives some more letters and the total number of letters in the mailbox is 19. How many letters does Lucy receive during the day?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the initial number of letters and the final number of letters in the mailbox. Given information: - Lucy has 9 letters in her mailbox initially. - By the end of the day, the total number of letters in the mailbox is 19. Step 1: Find the number of letters Lucy received during the day. Number of letters received = Final number of letters - Initial number of letters Number of letters received = 19 - 9 Number of letters received = 10 Therefore, Lucy received 10 letters during the day. ### Answer: 10
Expected answer: 10
Correct? Yes
Problem: In the food pantry, there were originally 17 cans of beans. Over the course of the day, some cans were distributed to people, and at the end of the day, there were 13 cans left. How many cans of beans were distributed that day?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the original number of cans and the number of cans left at the end of the day. Given information: - There were originally 17 cans of beans in the food pantry. - At the end of the day, there were 13 cans left. Step 1: Find the number of cans distributed. Number of cans distributed = Original number of cans - Number of cans left Number of cans distributed = 17 - 13 Number of cans distributed = 4 Therefore, 4 cans of beans were distributed that day. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: A sock store started their day with 3 pairs of red socks. During the day, they decided to add more of the same socks following a new shipment. By the end of the day, they had 15 pairs of red socks. How many pairs of red socks did they add to their inventory?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the number of pairs of red socks they had at the end of the day and the number of pairs they started with. Given information: - The store started with 3 pairs of red socks. - At the end of the day, they had 15 pairs of red socks. Step 1: Find the number of pairs of red socks they added to their inventory. Number of pairs of red socks added = Number of pairs at the end of the day - Number of pairs at the start of the day Number of pairs of red socks added = 15 pairs - 3 pairs Number of pairs of red socks added = 12 pairs Therefore, the store added 12 pairs of red socks to their inventory during the day. ### Answer: 12
Expected answer: 12
Correct? Yes
Problem: A farmer has 9 apple trees in his orchard already. Later, he decides to plant a number of new apple trees. After the planting, the total number of apple trees he has is 18. How many new apple trees did he plant?
Claude-3 Sonnet:
To solve this problem, we need to find the number of new apple trees the farmer planted. Given information: - The farmer initially had 9 apple trees in his orchard. - After planting new apple trees, the total number of apple trees became 18. Let's represent the number of new apple trees planted as x. Initial number of apple trees + Number of new apple trees planted = Total number of apple trees after planting 9 + x = 18 Rearranging the equation to find x: x = 18 - 9 x = 9 Therefore, the farmer planted 9 new apple trees. ### Answer: 9
Expected answer: 9
Correct? Yes
Problem: A stationery store displayed 3 pens at the start of the day. By the end of the day, they had 8 pens on the display. How many pens did they add to the display during the day?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the number of pens on the display at the end of the day and the number of pens on the display at the start of the day. Given information: - At the start of the day, there were 3 pens on the display. - At the end of the day, there were 8 pens on the display. Step 1: Find the difference between the number of pens at the end of the day and the number of pens at the start of the day. Number of pens added to the display = Number of pens at the end of the day - Number of pens at the start of the day Number of pens added to the display = 8 - 3 Number of pens added to the display = 5 Therefore, the stationery store added 5 pens to the display during the day. ### Answer: 5
Expected answer: 5
Correct? Yes
Problem: A marine biologist counts that there are 8 sharks currently swimming around the deep sea observatory. If the observatory initially had 7 sharks, how many new sharks arrived?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the current number of sharks and the initial number of sharks. Given information: - There are currently 8 sharks swimming around the deep sea observatory. - The observatory initially had 7 sharks. Step 1: Find the difference between the current number of sharks and the initial number of sharks. Number of new sharks arrived = Current number of sharks - Initial number of sharks Number of new sharks arrived = 8 - 7 Number of new sharks arrived = 1 Therefore, 1 new shark arrived at the deep sea observatory. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: A kid's slide has 5 steps. By adding some more steps, the total becomes 8. How many steps were added to the slide?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the total number of steps after adding more steps and the initial number of steps. Given information: - The kid's slide initially had 5 steps. - After adding more steps, the total number of steps became 8. Step 1: Find the number of steps added to the slide. Number of steps added = Total number of steps after adding - Initial number of steps Number of steps added = 8 - 5 Number of steps added = 3 Therefore, 3 steps were added to the slide. ### Answer: 3
Expected answer: 3
Correct? Yes
Problem: Chris has a collection of skateboards. After giving away 4 of his skateboards to friends, he ends up with 8 skateboards left. How many skateboards did Chris have at the beginning?
Claude-3 Sonnet:
To solve this problem, we need to find the initial number of skateboards Chris had before giving away 4 of them. Given information: - Chris gave away 4 skateboards to friends. - After giving away 4 skateboards, Chris has 8 skateboards left. Let's represent the initial number of skateboards as x. After giving away 4 skateboards, the remaining number of skateboards is x - 4. We know that the remaining number of skateboards is 8. Therefore, we can set up the equation: x - 4 = 8 Solving for x: x - 4 + 4 = 8 + 4 x = 12 Therefore, Chris had 12 skateboards at the beginning before giving away 4 of them. ### Answer: 12
Expected answer: 12
Correct? Yes
Problem: A pirate ship had a certain number of cannons. After a rough sea battle, it was left with 6 cannons. If the ship lost 5 cannons during the fight, how many cannons did it have before the battle?
Claude-3 Sonnet:
To solve this problem, we need to find the initial number of cannons the pirate ship had before the battle. Given information: - After the battle, the ship had 6 cannons left. - The ship lost 5 cannons during the battle. We can represent the initial number of cannons as x. Since the ship lost 5 cannons during the battle, we can write the equation: x - 5 = 6 Solving for x: x - 5 = 6 x = 6 + 5 x = 11 Therefore, the pirate ship had 11 cannons before the battle. ### Answer: 11
Expected answer: 11
Correct? Yes
Problem: A police department started the day with 16 patrol cars. As the day went on, some patrol cars were sent out on various assignments. By the afternoon, there were only 10 patrol cars left at the station. How many patrol cars were sent out on assignments?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the initial number of patrol cars and the number of patrol cars left at the station in the afternoon. Given information: - The police department started the day with 16 patrol cars. - By the afternoon, there were only 10 patrol cars left at the station. Step 1: Find the number of patrol cars sent out on assignments. Number of patrol cars sent out = Initial number of patrol cars - Number of patrol cars left at the station Number of patrol cars sent out = 16 - 10 Number of patrol cars sent out = 6 Therefore, 6 patrol cars were sent out on assignments. ### Answer: 6
Expected answer: 6
Correct? Yes
Problem: Initially, there were 12 pillows in a store. By the end of the day, there were only 6 pillows left. How many pillows were sold during the day?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the initial number of pillows and the number of pillows left at the end of the day. Given information: - Initially, there were 12 pillows in the store. - At the end of the day, there were 6 pillows left. Step 1: Find the number of pillows sold during the day. Number of pillows sold = Initial number of pillows - Number of pillows left Number of pillows sold = 12 - 6 Number of pillows sold = 6 Therefore, 6 pillows were sold during the day. ### Answer: 6
Expected answer: 6
Correct? Yes
Problem: Billy began packing for a camping trip. He already had 4 items in his backpack. By the time he stopped packing, there were 10 items total in his backpack. How many additional items did Billy add to his backpack?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the total number of items in the backpack after packing and the initial number of items in the backpack. Given information: - Billy already had 4 items in his backpack before packing. - After packing, there were 10 items in his backpack. Step 1: Find the number of additional items Billy added to his backpack. Number of additional items = Total items after packing - Initial items in the backpack Number of additional items = 10 - 4 Number of additional items = 6 Therefore, Billy added 6 additional items to his backpack. ### Answer: 6
Expected answer: 6
Correct? Yes
Problem: A jungle gym has 8 swings installed. Later in the day, more swings were added and the total number of swings became 20. How many more swings were added to the jungle gym?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the initial number of swings and the final number of swings. Given information: - Initially, the jungle gym had 8 swings installed. - After adding more swings, the total number of swings became 20. Step 1: Find the number of swings added to the jungle gym. Number of swings added = Final number of swings - Initial number of swings Number of swings added = 20 - 8 Number of swings added = 12 Therefore, 12 more swings were added to the jungle gym. ### Answer: 12
Expected answer: 12
Correct? Yes
Problem: In a wind energy farm, there are 15 wind turbines already operational. The total number of wind turbines in the farm is 17. How many more wind turbines were constructed and added to the farm?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the total number of wind turbines in the farm and the number of wind turbines already operational. Given information: - There are 15 wind turbines already operational. - The total number of wind turbines in the farm is 17. Step 1: Find the number of wind turbines that were constructed and added to the farm. Number of wind turbines constructed and added = Total number of wind turbines - Number of wind turbines already operational Number of wind turbines constructed and added = 17 - 15 Number of wind turbines constructed and added = 2 Therefore, 2 more wind turbines were constructed and added to the farm. ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: James owns a juice bar where he had 18 bottles of apple juice. After restocking, he counts a total of 20 bottles. How many bottles of apple juice did he add to the stock?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the initial number of bottles and the final number of bottles after restocking. Given information: - Initially, James had 18 bottles of apple juice. - After restocking, he had a total of 20 bottles of apple juice. Step 1: Find the number of bottles added to the stock. Number of bottles added = Final number of bottles - Initial number of bottles Number of bottles added = 20 - 18 Number of bottles added = 2 Therefore, James added 2 bottles of apple juice to the stock. ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: John started his guitar lessons with a collection of certain number of guitar picks. After playing for a while, he noticed that he has only 6 picks left, having lost 1. How many guitar picks did John originally start with?
Claude-3 Sonnet:
To solve this problem, we need to find the number of guitar picks John started with initially. Given information: - John has 6 guitar picks left. - He lost 1 guitar pick. Let's assume that John started with x guitar picks initially. After losing 1 guitar pick, he would have x - 1 guitar picks. We know that he has 6 guitar picks left, so we can write the equation: x - 1 = 6 Solving for x: x = 6 + 1 x = 7 Therefore, John originally started with 7 guitar picks. ### Answer: 7
Expected answer: 7
Correct? Yes
Problem: A florist starts their day with 7 daisies in their display. During the day they add some more daisies and by the end of the day, the total count of daisies is 9. How many daisies did they add during the day?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the final count of daisies and the initial count of daisies. Given information: - The florist starts the day with 7 daisies in their display. - By the end of the day, the total count of daisies is 9. Step 1: Find the number of daisies added during the day. Number of daisies added = Final count of daisies - Initial count of daisies Number of daisies added = 9 - 7 Number of daisies added = 2 Therefore, the florist added 2 daisies during the day. ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: A firefighter hears a total of 6 alarms in one day. If he had heard 4 alarms before lunch, how many alarms did he hear after lunch?
Claude-3 Sonnet:
To solve this problem, we need to find the number of alarms the firefighter heard after lunch by subtracting the number of alarms heard before lunch from the total number of alarms heard in the day. Given information: - The firefighter heard a total of 6 alarms in one day. - The firefighter heard 4 alarms before lunch. Step 1: Find the number of alarms heard after lunch. Number of alarms heard after lunch = Total alarms heard in the day - Number of alarms heard before lunch Number of alarms heard after lunch = 6 - 4 Number of alarms heard after lunch = 2 Therefore, the firefighter heard 2 alarms after lunch. ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: A crazy cat lady starts the day with 18 cats in her living room. After letting some of them go outside to play, only 17 cats remain in the living room. How many cats went outside to play?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the initial number of cats and the number of cats that remained in the living room. Given information: - The crazy cat lady started with 18 cats in the living room. - After letting some cats go outside to play, 17 cats remained in the living room. Step 1: Find the number of cats that went outside to play. Number of cats that went outside = Initial number of cats - Number of cats that remained Number of cats that went outside = 18 - 17 Number of cats that went outside = 1 Therefore, 1 cat went outside to play. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: A small snowman is built using 3 large snowballs. Over time, the snowman grows by an additional number of snowballs and becomes comprised of a total of 4 large snowballs. How many more snowballs were added to the snowman?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the initial number of snowballs and the final number of snowballs. Given information: - Initially, the snowman was built using 3 large snowballs. - After some time, the snowman became comprised of 4 large snowballs. Step 1: Find the number of snowballs added to the snowman. Number of snowballs added = Final number of snowballs - Initial number of snowballs Number of snowballs added = 4 - 3 Number of snowballs added = 1 Therefore, 1 more snowball was added to the snowman. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: A fruit seller had 14 oranges in his basket. After some time, he found that he had 16 oranges in total after collecting some from his garden. How many oranges did he collect from his garden?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the total number of oranges after collecting from the garden and the initial number of oranges in the basket. Given information: - The fruit seller initially had 14 oranges in his basket. - After collecting some oranges from his garden, he had a total of 16 oranges. Let's represent the number of oranges collected from the garden as x. Initial number of oranges + Oranges collected from the garden = Total number of oranges 14 + x = 16 Rearranging the equation to find x: x = 16 - 14 x = 2 Therefore, the fruit seller collected 2 oranges from his garden. ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: At the start of an art project, you already have 13 red crayons in your art box. By the end of the day, after adding some more red crayons, you have a total of 16 red crayons. How many red crayons did you add in during the day?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the final number of red crayons and the initial number of red crayons. Given information: - At the start of the day, you had 13 red crayons. - At the end of the day, you had a total of 16 red crayons. Step 1: Find the number of red crayons added during the day. Number of red crayons added = Final number of red crayons - Initial number of red crayons Number of red crayons added = 16 - 13 Number of red crayons added = 3 Therefore, you added 3 red crayons during the day. ### Answer: 3
Expected answer: 3
Correct? Yes
Problem: A puzzle maker had finished creating 11 picture puzzles by the end of last month. This month, he created a few more and now has a total of 20 picture puzzles. How many picture puzzles did the puzzle maker create this month?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the total number of picture puzzles the puzzle maker has now and the number of picture puzzles he had finished by the end of last month. Given information: - The puzzle maker had finished creating 11 picture puzzles by the end of last month. - The puzzle maker now has a total of 20 picture puzzles. Step 1: Find the number of picture puzzles the puzzle maker created this month. Number of picture puzzles created this month = Total number of picture puzzles now - Number of picture puzzles by the end of last month Number of picture puzzles created this month = 20 - 11 Number of picture puzzles created this month = 9 Therefore, the puzzle maker created 9 picture puzzles this month. ### Answer: 9
Expected answer: 9
Correct? Yes
Problem: In a garden, there were originally 11 red roses. But by the end of the week, only 1 red rose was left after some were picked. How many red roses were picked from the garden during the week?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the original number of red roses and the number of red roses left at the end of the week. Given information: - There were originally 11 red roses in the garden. - At the end of the week, only 1 red rose was left. Step 1: Find the number of red roses picked from the garden. Number of red roses picked = Original number of red roses - Number of red roses left Number of red roses picked = 11 - 1 Number of red roses picked = 10 Therefore, 10 red roses were picked from the garden during the week. ### Answer: 10
Expected answer: 10
Correct? Yes
Problem: A farmer had 16 apples in his basket. After some time, he noticed that there were only 5 apples left in his basket. How many apples were taken from the basket?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the initial number of apples and the remaining number of apples. Given information: - The farmer initially had 16 apples in the basket. - After some time, there were only 5 apples left in the basket. Step 1: Find the number of apples taken from the basket. Number of apples taken = Initial number of apples - Remaining number of apples Number of apples taken = 16 - 5 Number of apples taken = 11 Therefore, 11 apples were taken from the basket. ### Answer: 11
Expected answer: 11
Correct? Yes
Problem: An Unidentified Flying Object (UFO) was initially having 5 alien occupants on board. After some universal travels, the UFO had 8 alien occupants. How many extra aliens joined the UFO during its journey?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the initial number of alien occupants and the final number of alien occupants. Given information: - Initially, the UFO had 5 alien occupants. - After some universal travels, the UFO had 8 alien occupants. Step 1: Find the difference between the final number of alien occupants and the initial number of alien occupants. Final number of alien occupants - Initial number of alien occupants = Number of extra aliens joined 8 - 5 = 3 Therefore, 3 extra aliens joined the UFO during its journey. ### Answer: 3
Expected answer: 3
Correct? Yes
Problem: A toy store had 13 toy cars at the beginning of the day. By the end of the day, there was only 1 toy car left on the shelf. How many toy cars were sold during the day?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the number of toy cars at the beginning of the day and the number of toy cars left at the end of the day. Given information: - The toy store had 13 toy cars at the beginning of the day. - At the end of the day, there was only 1 toy car left on the shelf. Step 1: Find the number of toy cars sold during the day. Number of toy cars sold = Number of toy cars at the beginning - Number of toy cars left at the end Number of toy cars sold = 13 - 1 Number of toy cars sold = 12 Therefore, 12 toy cars were sold during the day. ### Answer: 12
Expected answer: 12
Correct? Yes
Problem: A robot factory had 18 fully operational robots at the beginning of the day. But by the end of the day, there were only 16 operational robots left. How many robots stopped functioning during the day?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the number of operational robots at the beginning of the day and the number of operational robots at the end of the day. Given information: - At the beginning of the day, there were 18 fully operational robots. - At the end of the day, there were 16 operational robots left. Step 1: Find the number of robots that stopped functioning during the day. Number of robots that stopped functioning = Number of operational robots at the beginning - Number of operational robots at the end Number of robots that stopped functioning = 18 - 16 Number of robots that stopped functioning = 2 Therefore, 2 robots stopped functioning during the day. ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: A circus has a certain number of tigers. After selling 3 of them to a zoo, they have 8 tigers left. How many tigers did the circus have originally?
Claude-3 Sonnet:
To solve this problem, we need to find the original number of tigers the circus had before selling 3 of them. Given information: - After selling 3 tigers, the circus has 8 tigers left. Let's represent the original number of tigers as x. Since the circus sold 3 tigers, we can write the equation: x - 3 = 8 Solving for x: x - 3 = 8 x = 8 + 3 x = 11 Therefore, the circus had 11 tigers originally before selling 3 of them. ### Answer: 11
Expected answer: 11
Correct? Yes
Problem: The tiger population in a nature reserve was originally 15. Over time, perilous conditions led to the demise of some of the tigers, leaving only 5 tigers in the reserve. How many tigers were lost?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the original tiger population and the remaining tiger population. Given information: - The original tiger population in the nature reserve was 15. - After perilous conditions, only 5 tigers remained in the reserve. Step 1: Find the number of tigers lost. Number of tigers lost = Original tiger population - Remaining tiger population Number of tigers lost = 15 - 5 Number of tigers lost = 10 Therefore, 10 tigers were lost due to the perilous conditions in the nature reserve. ### Answer: 10
Expected answer: 10
Correct? Yes
Problem: The Jackson family has 6 jackets to begin with but they purchased some more at a yard sale. If they now have 12 jackets total, how many jackets did they purchase at the yard sale?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the number of jackets they have now and the number of jackets they had initially. Given information: - The Jackson family had 6 jackets initially. - They now have a total of 12 jackets. Step 1: Find the number of jackets they purchased at the yard sale. Number of jackets purchased = Total number of jackets now - Initial number of jackets Number of jackets purchased = 12 - 6 Number of jackets purchased = 6 Therefore, the Jackson family purchased 6 jackets at the yard sale. ### Answer: 6
Expected answer: 6
Correct? Yes
Problem: A train initially has 16 cars. Part way through its journey, it detaches some cars and continues on with only 8 cars. How many train cars were detached during the journey?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the initial number of cars and the number of cars remaining after some were detached. Given information: - The train initially had 16 cars. - After detaching some cars, the train continued with 8 cars. Step 1: Find the number of cars detached. Number of cars detached = Initial number of cars - Number of cars remaining Number of cars detached = 16 - 8 Number of cars detached = 8 Therefore, 8 train cars were detached during the journey. ### Answer: 8
Expected answer: 8
Correct? Yes
Problem: A jewelry store has 1 bracelet in stock. Later, the store receives a fresh shipment, and the total number of bracelets increases to 4. How many bracelets were in the new shipment?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the initial number of bracelets and the final number of bracelets after the shipment. Given information: - The jewelry store initially had 1 bracelet in stock. - After receiving a new shipment, the total number of bracelets increased to 4. Step 1: Find the number of bracelets in the new shipment. Number of bracelets in the new shipment = Final number of bracelets - Initial number of bracelets Number of bracelets in the new shipment = 4 - 1 Number of bracelets in the new shipment = 3 Therefore, the new shipment contained 3 bracelets. ### Answer: 3
Expected answer: 3
Correct? Yes
Problem: A school bus started its morning route with 14 students on board. After dropping off some students at their respective schools, there were only 7 students left on the bus. How many students were dropped off in the morning?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the initial number of students on the bus and the number of students left on the bus after dropping off some students. Given information: - The school bus started its morning route with 14 students on board. - After dropping off some students, there were 7 students left on the bus. Step 1: Find the number of students dropped off. Number of students dropped off = Initial number of students - Number of students left on the bus Number of students dropped off = 14 - 7 Number of students dropped off = 7 Therefore, 7 students were dropped off in the morning. ### Answer: 7
Expected answer: 7
Correct? Yes
Problem: A cheese maker produced 9 pounds of swiss cheese one morning. By the end of the day, the total cheese production was 16 pounds. How much more cheese (in pounds) was produced by the end of the day?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the total cheese production by the end of the day and the amount of swiss cheese produced in the morning. Given information: - The cheese maker produced 9 pounds of swiss cheese in the morning. - The total cheese production by the end of the day was 16 pounds. Step 1: Find the difference between the total cheese production and the swiss cheese produced in the morning. Total cheese production - Swiss cheese produced in the morning = Additional cheese produced 16 pounds - 9 pounds = 7 pounds Therefore, the cheese maker produced 7 pounds more cheese by the end of the day. ### Answer: 7
Expected answer: 7
Correct? Yes
Problem: Sarah counted her pillows and found out that she has a total of 6 pillows. If she recalls correctly, 4 of them are stuffed with feathers and the rest are stuffed with foam. How many of her pillows are stuffed with foam?
Claude-3 Sonnet:
To solve this problem, we need to find the number of pillows that are not stuffed with feathers, which will be the number of pillows stuffed with foam. Given information: - Sarah has a total of 6 pillows. - 4 of her pillows are stuffed with feathers. Step 1: Find the number of pillows that are not stuffed with feathers. Total number of pillows - Number of pillows stuffed with feathers = Number of pillows stuffed with foam 6 - 4 = 2 Therefore, 2 of Sarah's pillows are stuffed with foam. ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: A binoculars maker started with 7 binoculars in the morning. By late afternoon, she had added few more, making a total of 11 binoculars. How many binoculars did she make in the afternoon?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the initial number of binoculars and the final number of binoculars. Given information: - The binoculars maker started with 7 binoculars in the morning. - By late afternoon, she had a total of 11 binoculars. Step 1: Find the number of binoculars she made in the afternoon. Number of binoculars made in the afternoon = Final number of binoculars - Initial number of binoculars Number of binoculars made in the afternoon = 11 - 7 Number of binoculars made in the afternoon = 4 Therefore, the binoculars maker made 4 binoculars in the afternoon. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: In a playground, there are originally 3 balls. As the day progresses, kids bring in some more balls and by the end of day, the total number of balls in the playground is 8. How many balls did kids bring to the playground?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the total number of balls at the end of the day and the original number of balls. Given information: - Originally, there were 3 balls in the playground. - At the end of the day, the total number of balls in the playground is 8. Step 1: Find the number of balls brought by the kids. Number of balls brought by the kids = Total number of balls at the end of the day - Original number of balls Number of balls brought by the kids = 8 - 3 Number of balls brought by the kids = 5 Therefore, the kids brought 5 balls to the playground. ### Answer: 5
Expected answer: 5
Correct? Yes
Problem: A fashion designer started with a total of a certain number of blue dresses. After selling 13 of them, there were only 2 left in stock. How many blue dresses did the designer start with?
Claude-3 Sonnet:
To solve this problem, we need to find the initial number of blue dresses the designer had before selling any. Given information: - The designer sold 13 blue dresses. - After selling 13 blue dresses, there were 2 blue dresses left in stock. Let's represent the initial number of blue dresses as x. Since the designer sold 13 blue dresses and had 2 left in stock, we can write the equation: x - 13 = 2 Solving for x: x - 13 = 2 x = 2 + 13 x = 15 Therefore, the designer started with 15 blue dresses. ### Answer: 15
Expected answer: 15
Correct? Yes
Problem: In a party, there were 2 helium balloons floating above a child. Suddenly one of them popped, leaving just 1 balloon. How many balloons popped?
Claude-3 Sonnet:
To solve this problem, we need to find the number of balloons that popped. Given information: - Initially, there were 2 helium balloons floating above a child. - After one of the balloons popped, there was only 1 balloon left. Since there were initially 2 balloons, and after one popped, there was 1 balloon left, it means that 1 balloon popped. Therefore, the number of balloons that popped is 1. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: A pirate has stashed away 4 of his gold coins and now has only 1 left with him. How many gold coins did the pirate originally have before stashing them away?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of gold coins the pirate had before stashing away 4 of them. Given information: - The pirate stashed away 4 gold coins. - The pirate has 1 gold coin left with him. Let's represent the total number of gold coins the pirate originally had as x. Since the pirate stashed away 4 gold coins and has 1 gold coin left, we can write the equation: x = 4 + 1 Solving for x: x = 4 + 1 x = 5 Therefore, the pirate originally had 5 gold coins before stashing away 4 of them. ### Answer: 5
Expected answer: 5
Correct? Yes
Problem: A desk drawer had 6 pens at the beginning of the day. At the end of the day, it acquired a total of 12 pens because some were dropped off in the drawer by office workers. How many pens did office workers drop off in the drawer throughout the day?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the number of pens at the end of the day and the number of pens at the beginning of the day. Given information: - At the beginning of the day, the desk drawer had 6 pens. - At the end of the day, the desk drawer had a total of 12 pens. Step 1: Find the number of pens dropped off in the drawer by office workers. Number of pens dropped off = Number of pens at the end of the day - Number of pens at the beginning of the day Number of pens dropped off = 12 - 6 Number of pens dropped off = 6 Therefore, office workers dropped off 6 pens in the drawer throughout the day. ### Answer: 6
Expected answer: 6
Correct? Yes
Problem: A shape enthusiast begins with a collection of 15 different types of shapes. Later, she decides to give some away and is left with 11 types of shapes. How many different types of shapes did she give away?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the initial number of different types of shapes and the number of different types of shapes left after giving some away. Given information: - The shape enthusiast initially had 15 different types of shapes. - After giving some away, she was left with 11 different types of shapes. Step 1: Find the number of different types of shapes given away. Number of different types of shapes given away = Initial number of different types of shapes - Number of different types of shapes left Number of different types of shapes given away = 15 - 11 Number of different types of shapes given away = 4 Therefore, the shape enthusiast gave away 4 different types of shapes. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: A student has a backpack that initially contains 3 pencils. Later in the day, the student adds some more pencils to the backpack, bringing the total count to 20 pencils. How many additional pencils did the student put in the backpack?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the final number of pencils and the initial number of pencils in the backpack. Given information: - The backpack initially contained 3 pencils. - The final number of pencils in the backpack is 20. Step 1: Find the number of additional pencils added to the backpack. Number of additional pencils = Final number of pencils - Initial number of pencils Number of additional pencils = 20 - 3 Number of additional pencils = 17 Therefore, the student put 17 additional pencils in the backpack. ### Answer: 17
Expected answer: 17
Correct? Yes
Problem: A zookeeper has 6 monkeys in one enclosure. Later in the day, some more monkeys are transferred into the enclosure, making a total of 7 monkeys. How many monkeys were transferred?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the initial number of monkeys and the final number of monkeys in the enclosure. Given information: - Initially, there were 6 monkeys in the enclosure. - After the transfer, there were 7 monkeys in the enclosure. Step 1: Find the number of monkeys transferred into the enclosure. Number of monkeys transferred = Final number of monkeys - Initial number of monkeys Number of monkeys transferred = 7 - 6 Number of monkeys transferred = 1 Therefore, 1 monkey was transferred into the enclosure. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: You were packing for a camping trip and counted 13 sleeping bags at the start. But when you finished packing, only 1 sleeping bag was left behind. How many sleeping bags did you pack for the trip?
Claude-3 Sonnet:
To solve this problem, we need to find the number of sleeping bags that were packed for the trip. Given information: - At the start, there were 13 sleeping bags. - After packing, 1 sleeping bag was left behind. Step 1: Find the number of sleeping bags that were packed for the trip. Number of sleeping bags packed = Total sleeping bags - Sleeping bags left behind Number of sleeping bags packed = 13 - 1 Number of sleeping bags packed = 12 Therefore, 12 sleeping bags were packed for the camping trip. ### Answer: 12
Expected answer: 12
Correct? Yes
Problem: A public park starts the day with 9 benches. By afternoon, they install some new ones making the total number of benches 10. How many new benches were installed?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the initial number of benches and the final number of benches. Given information: - The public park starts the day with 9 benches. - By afternoon, the total number of benches becomes 10. Let's represent the number of new benches installed as x. Initial number of benches + Number of new benches installed = Final number of benches 9 + x = 10 Solving for x: x = 10 - 9 x = 1 Therefore, 1 new bench was installed in the afternoon. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: A mermaid has 9 shimmering scales on her tail. But after a tough underwater race, she realizes that she has lost some, leaving her with just 4 intact scales. How many scales did the mermaid lose during the race?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the initial number of scales and the remaining number of scales after the race. Given information: - The mermaid initially had 9 shimmering scales on her tail. - After the race, she had 4 intact scales remaining. Step 1: Find the number of scales lost during the race. Number of scales lost = Initial number of scales - Remaining number of scales Number of scales lost = 9 - 4 Number of scales lost = 5 Therefore, the mermaid lost 5 scales during the race. ### Answer: 5
Expected answer: 5
Correct? Yes
Problem: A band has prepared 8 songs for a live performance. By the end of the concert, they've played 17 songs, due to audience requests and encore performances. How many additional songs did they end up playing?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the number of songs they prepared and the number of songs they actually played. Given information: - The band prepared 8 songs for the live performance. - They ended up playing 17 songs due to audience requests and encore performances. Step 1: Find the number of additional songs they played. Number of additional songs = Number of songs played - Number of songs prepared Number of additional songs = 17 - 8 Number of additional songs = 9 Therefore, the band ended up playing 9 additional songs beyond the 8 songs they had prepared. ### Answer: 9
Expected answer: 9
Correct? Yes
Problem: A hat maker starts a day with a certain number of wool hats in his shop. By noon, he sold 6 of these hats and was left with 9 hats. How many wool hats did he start the day with?
Claude-3 Sonnet:
To solve this problem, we need to find the initial number of wool hats the hat maker had before selling any. Given information: - By noon, the hat maker sold 6 hats. - After selling 6 hats, the hat maker was left with 9 hats. Let's represent the initial number of wool hats as x. Initial number of hats = x Number of hats sold = 6 Number of hats remaining = 9 We know that the initial number of hats minus the number of hats sold should be equal to the number of hats remaining. x - 6 = 9 Solving for x: x = 9 + 6 x = 15 Therefore, the hat maker started the day with 15 wool hats in his shop. ### Answer: 15
Expected answer: 15
Correct? Yes
Problem: A soap shop has 14 soaps in their inventory at the start of the day. By the end of the day, the total inventory counts to 19 soaps after making some more. How many soaps did they make during the day?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the final inventory count and the initial inventory count. Given information: - The soap shop had 14 soaps in their inventory at the start of the day. - At the end of the day, the total inventory count was 19 soaps. Step 1: Find the difference between the final inventory count and the initial inventory count. Final inventory count - Initial inventory count = Number of soaps made during the day 19 soaps - 14 soaps = 5 soaps Therefore, the soap shop made 5 soaps during the day. ### Answer: 5
Expected answer: 5
Correct? Yes
Problem: Sylvia starts making soap with 10 bars from her last huge batch. By the end of the day, she ends up with 14 bars of soap by creating a few new ones. How many new bars of soap did Sylvia make?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the number of bars Sylvia had at the end of the day and the number of bars she started with. Given information: - Sylvia started with 10 bars of soap from her last huge batch. - At the end of the day, she had 14 bars of soap. Step 1: Find the number of new bars of soap Sylvia made. Number of new bars of soap = Number of bars at the end of the day - Number of bars at the start Number of new bars of soap = 14 - 10 Number of new bars of soap = 4 Therefore, Sylvia made 4 new bars of soap. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: A rope factory starts the day producing a rope of 13 meters long. By the end of the day, another rope, combined with the first one, makes up a total of 19 meters of rope. How long is the second rope they produced?
Claude-3 Sonnet:
To solve this problem, we need to find the length of the second rope produced by the factory. Given information: - The factory starts the day with a rope of 13 meters long. - At the end of the day, the total length of the rope, including the first rope and the second rope, is 19 meters. Let's represent the length of the second rope as x. Since the total length of the rope is 19 meters, we can write the equation: 13 + x = 19 Solving for x: x = 19 - 13 x = 6 Therefore, the length of the second rope produced by the factory is 6 meters. ### Answer: 6
Expected answer: 6
Correct? Yes
Problem: There were 2 beach balls scattered around the beach early in the morning. As the day progressed, there were 12 beach balls all over the beach. How many beach balls did the beach visitors bring with them?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the number of beach balls at the end of the day and the number of beach balls in the morning. Given information: - There were 2 beach balls scattered around the beach early in the morning. - As the day progressed, there were 12 beach balls all over the beach. Step 1: Find the number of beach balls brought by the beach visitors. Number of beach balls brought by the beach visitors = Number of beach balls at the end of the day - Number of beach balls in the morning Number of beach balls brought by the beach visitors = 12 - 2 Number of beach balls brought by the beach visitors = 10 Therefore, the beach visitors brought 10 beach balls with them. ### Answer: 10
Expected answer: 10
Correct? Yes
Problem: A group of friends on a camping trip only had 1 piece of firewood left early in the night. By the end of the night, they managed to find and collect 10 pieces of firewood altogether. How many extra pieces of firewood did they find that night?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the total number of pieces of firewood they had at the end of the night and the number of pieces they started with. Given information: - At the beginning of the night, they had 1 piece of firewood. - At the end of the night, they had a total of 10 pieces of firewood. Step 1: Find the number of extra pieces of firewood they found. Extra pieces of firewood found = Total pieces at the end - Initial pieces Extra pieces of firewood found = 10 - 1 Extra pieces of firewood found = 9 Therefore, they found 9 extra pieces of firewood that night. ### Answer: 9
Expected answer: 9
Correct? Yes
Problem: You have a music store with 18 guitars in stock. During the day, a customer comes and buys a number of guitars. By the end of the day, you count and find that you have 16 guitars left. How many guitars did the customer buy?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the initial number of guitars and the number of guitars left at the end of the day. Given information: - The music store initially had 18 guitars in stock. - At the end of the day, there were 16 guitars left. Step 1: Find the number of guitars sold (bought by the customer). Number of guitars sold = Initial number of guitars - Number of guitars left Number of guitars sold = 18 - 16 Number of guitars sold = 2 Therefore, the customer bought 2 guitars. ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: A bike shop has 4 mountain bikes on hand at the beginning of the day. By the end of the day, they have a total of 14 mountain bikes, as some new shipments have arrived. How many new mountain bikes were shipped to the shop today?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the number of mountain bikes at the end of the day and the number of mountain bikes at the beginning of the day. Given information: - The bike shop had 4 mountain bikes at the beginning of the day. - The bike shop had a total of 14 mountain bikes at the end of the day. Step 1: Find the number of new mountain bikes shipped to the shop. Number of new mountain bikes shipped = Total mountain bikes at the end of the day - Mountain bikes at the beginning of the day Number of new mountain bikes shipped = 14 - 4 Number of new mountain bikes shipped = 10 Therefore, 10 new mountain bikes were shipped to the bike shop today. ### Answer: 10
Expected answer: 10
Correct? Yes
Problem: A child starts with 2 blue colored pencils, and then a classmate gives them some more. In the end, they have 3 blue colored pencils. How many colored pencils did their classmate give them?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the initial number of blue colored pencils and the final number of blue colored pencils. Given information: - The child starts with 2 blue colored pencils. - After receiving some blue colored pencils from their classmate, the child has 3 blue colored pencils. Let's represent the number of blue colored pencils given by the classmate as x. Initial number of blue colored pencils + Number of blue colored pencils given by the classmate = Final number of blue colored pencils 2 + x = 3 Solving for x: x = 3 - 2 x = 1 Therefore, the classmate gave the child 1 blue colored pencil. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: The campsite initially had 15 tents. By the end of the day, 19 tents were pitched in total. How many more tents were set up during the day?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the number of tents at the end of the day and the initial number of tents. Given information: - The campsite initially had 15 tents. - By the end of the day, there were 19 tents pitched in total. Step 1: Find the number of tents set up during the day. Number of tents set up during the day = Total number of tents at the end of the day - Initial number of tents Number of tents set up during the day = 19 - 15 Number of tents set up during the day = 4 Therefore, 4 more tents were set up during the day. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: A pirate found 7 gold coins in one of the treasure chests. By the end of his looting, he had a total of 16 gold coins. How many gold coins were in the other treasure chests he looted?
Claude-3 Sonnet:
To solve this problem, we need to find the number of gold coins the pirate found in the other treasure chests. Given information: - The pirate found 7 gold coins in one of the treasure chests. - The pirate had a total of 16 gold coins by the end of his looting. Step 1: Find the number of gold coins the pirate found in the other treasure chests. Total gold coins - Gold coins from the first treasure chest = Gold coins from the other treasure chests 16 - 7 = 9 gold coins Therefore, the pirate found 9 gold coins in the other treasure chests he looted. ### Answer: 9
Expected answer: 9
Correct? Yes
Problem: You start with 12 dollars in your wallet. By the end of a shopping trip, you find that you now have 16 dollars left in your wallet after receiving some change. How much money in dollars did you receive as change during the trip?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the amount of money you had after the shopping trip and the amount of money you started with. Given information: - You started with $12 in your wallet. - After the shopping trip, you had $16 left in your wallet. Step 1: Find the difference between the amount of money you had after the shopping trip and the amount of money you started with. Amount of money received as change = Amount of money after the trip - Amount of money before the trip Amount of money received as change = $16 - $12 Amount of money received as change = $4 Therefore, you received $4 as change during the shopping trip. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: A rope manufacturing task is ongoing. From several short pieces, a worker succeeds in creating a rope that is 17 feet long. If one of these pieces was 11 feet long, how long were the rest of the pieces together?
Claude-3 Sonnet:
To solve this problem, we need to find the total length of the remaining pieces after subtracting the length of the 11-foot piece from the total length of the rope. Given information: - The total length of the rope is 17 feet. - One of the pieces used to create the rope is 11 feet long. Step 1: Subtract the length of the 11-foot piece from the total length of the rope. Total length of the remaining pieces = Total length of the rope - Length of the 11-foot piece Total length of the remaining pieces = 17 feet - 11 feet Total length of the remaining pieces = 6 feet Therefore, the rest of the pieces together were 6 feet long. ### Answer: 6 feet
Expected answer: 6
Correct? Yes
Problem: An artist had one blue colored pencil in her collection. After adding a pack of new pencils, she now has 13 colored pencils. How many colored pencils were there in the new pack?
Claude-3 Sonnet:
To solve this problem, we need to find the number of colored pencils in the new pack by subtracting the initial number of colored pencils from the final number of colored pencils. Given information: - The artist initially had 1 blue colored pencil. - After adding a new pack, the artist now has 13 colored pencils. Step 1: Find the number of colored pencils in the new pack. Number of colored pencils in the new pack = Final number of colored pencils - Initial number of colored pencils Number of colored pencils in the new pack = 13 - 1 Number of colored pencils in the new pack = 12 Therefore, there were 12 colored pencils in the new pack. ### Answer: 12
Expected answer: 12
Correct? Yes
Problem: A musician starts off with 17 guitar strings in his collection. After restringing some guitars, he is left with only 2 strings. How many guitar strings did the musician use?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the initial number of guitar strings and the remaining number of guitar strings. Given information: - The musician starts with 17 guitar strings in his collection. - After restringing some guitars, he is left with 2 strings. Step 1: Find the number of guitar strings used. Number of guitar strings used = Initial number of guitar strings - Remaining number of guitar strings Number of guitar strings used = 17 - 2 Number of guitar strings used = 15 Therefore, the musician used 15 guitar strings to restring some guitars. ### Answer: 15
Expected answer: 15
Correct? Yes
Problem: There are 7 colors visible in a typical rainbow. If you have a special prism that shows a total of 13 colors in the rainbow, how many additional colors are visible through the prism?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the number of colors visible through the special prism and the number of colors in a typical rainbow. Given information: - A typical rainbow has 7 colors. - The special prism shows a total of 13 colors in the rainbow. Step 1: Find the number of additional colors visible through the special prism. Number of additional colors = Total colors visible through the special prism - Number of colors in a typical rainbow Number of additional colors = 13 - 7 Number of additional colors = 6 Therefore, there are 6 additional colors visible through the special prism compared to a typical rainbow. ### Answer: 6
Expected answer: 6
Correct? Yes
Problem: A full grown giraffe typically grows to a height of x meters. But a young giraffe was just 1 meter shorter than a full grown one when it was 3 meters tall. What is the typical height of a fully grown giraffe in meters?
Claude-3 Sonnet:
To solve this problem, we need to set up an equation using the given information and then solve for the unknown variable x, which represents the typical height of a fully grown giraffe in meters. Given information: - A young giraffe was 1 meter shorter than a full-grown giraffe when it was 3 meters tall. - Let x be the typical height of a fully grown giraffe in meters. We can represent the height of the young giraffe when it was 3 meters tall as (x - 1) meters, since it was 1 meter shorter than a full-grown giraffe. Therefore, we can set up the equation: x - 1 = 3 Solving for x: x - 1 = 3 x = 3 + 1 x = 4 Therefore, the typical height of a fully grown giraffe is 4 meters. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: In a pencil box, there were initially 10 pencils. Later, a student added some more pencils into the box and the total became 14. How many pencils did the student add to the box?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the initial number of pencils and the final number of pencils in the box. Given information: - Initially, there were 10 pencils in the box. - After adding more pencils, the total number of pencils became 14. Step 1: Find the number of pencils added to the box. Number of pencils added = Final number of pencils - Initial number of pencils Number of pencils added = 14 - 10 Number of pencils added = 4 Therefore, the student added 4 pencils to the box. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: A pillow factory has a stock of 14 feather pillows. After a small order is shipped, they have 4 feather pillows left. How many feather pillows were in the shipped order?
Claude-3 Sonnet:
To solve this problem, we need to find the number of feather pillows that were shipped, which is the difference between the initial stock and the remaining stock. Given information: - The pillow factory initially had 14 feather pillows. - After shipping an order, they have 4 feather pillows left. Step 1: Find the number of feather pillows that were shipped. Number of feather pillows shipped = Initial stock - Remaining stock Number of feather pillows shipped = 14 - 4 Number of feather pillows shipped = 10 Therefore, the shipped order contained 10 feather pillows. ### Answer: 10
Expected answer: 10
Correct? Yes
Problem: A pizzeria has 15 pepperoni pizzas ready to be served. Throughout the day, they bake a number of additional pepperoni pizzas, bringing the total to 16 by the evening. How many additional pepperoni pizzas did they bake throughout the day?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the initial number of pepperoni pizzas and the total number of pepperoni pizzas by the evening. Given information: - The pizzeria had 15 pepperoni pizzas ready to be served initially. - By the evening, the total number of pepperoni pizzas was 16. Step 1: Find the number of additional pepperoni pizzas baked throughout the day. Number of additional pepperoni pizzas = Total number of pepperoni pizzas by the evening - Initial number of pepperoni pizzas Number of additional pepperoni pizzas = 16 - 15 Number of additional pepperoni pizzas = 1 Therefore, the pizzeria baked 1 additional pepperoni pizza throughout the day. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: A band had prepared 11 songs to perform at a concert. However, they only managed to perform 7 songs due to technical problems. How many songs were they not able to perform at the concert?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the total number of songs prepared and the number of songs performed. Given information: - The band had prepared 11 songs for the concert. - They managed to perform 7 songs. Step 1: Find the number of songs they were not able to perform. Number of songs not performed = Total songs prepared - Number of songs performed Number of songs not performed = 11 - 7 Number of songs not performed = 4 Therefore, the band was not able to perform 4 songs at the concert due to technical problems. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: A snowman has a certain number of snowballs stacked to form its shape. If 7 snowballs are removed, only 11 snowballs remain. How many snowballs were used to build the snowman originally?
Claude-3 Sonnet:
To solve this problem, we need to find the total number of snowballs used to build the snowman before removing any snowballs. Given information: - After removing 7 snowballs, 11 snowballs remain. Let's represent the original number of snowballs as x. Since 7 snowballs were removed, and 11 snowballs remain, we can write the equation: x - 7 = 11 Rearranging the equation to solve for x: x = 11 + 7 x = 18 Therefore, the original number of snowballs used to build the snowman was 18. ### Answer: 18
Expected answer: 18
Correct? Yes
Problem: In underwater kingdom, there were 10 mermaids at the beginning. After a while, there were 20 mermaids. How many new mermaids joined the kingdom?
Claude-3 Sonnet:
To solve this problem, we need to find the difference between the final number of mermaids and the initial number of mermaids. Given information: - Initially, there were 10 mermaids in the underwater kingdom. - After a while, there were 20 mermaids in the underwater kingdom. Step 1: Find the increase in the number of mermaids. Increase in the number of mermaids = Final number of mermaids - Initial number of mermaids Increase in the number of mermaids = 20 - 10 Increase in the number of mermaids = 10 mermaids Therefore, 10 new mermaids joined the underwater kingdom. ### Answer: 10
Expected answer: 10
Correct? Yes