Common Core Standard 6.EE.B.7
This standard covers the following:
Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers.
Problem: James has a pair of binoculars that allows him to see 12 miles. If the basic binoculars only see 6 miles, how much additional distance does James's binoculars cover?
GPT-4o:
To determine the additional distance that James's binoculars cover compared to the basic binoculars, we need to subtract the distance the basic binoculars can see from the distance James's binoculars can see. James's binoculars can see 12 miles. Basic binoculars can see 6 miles. The additional distance covered by James's binoculars is: \[ 12 \text{ miles} - 6 \text{ miles} = 6 \text{ miles} \] ### Answer: 6 miles
Expected answer: 6
Correct? Yes
Problem: A box has 641 balls in total. If 284 of those balls are yellow, how many balls are not yellow?
GPT-4o:
To determine the number of balls that are not yellow, we need to subtract the number of yellow balls from the total number of balls. Total number of balls = 641 Number of yellow balls = 284 Number of balls that are not yellow = Total number of balls - Number of yellow balls = 641 - 284 Let's perform the subtraction: 641 -284 ----- 357 So, the number of balls that are not yellow is 357. ### Answer: 357
Expected answer: 357
Correct? Yes
Problem: In a bag, there are total 355 balls. If there are already 44 green balls, how many red balls should be added to the bag?
GPT-4o:
To determine how many red balls should be added to the bag, we need to subtract the number of green balls from the total number of balls. Given: - Total number of balls = 355 - Number of green balls = 44 First, we calculate the number of balls that are not green: \[ 355 - 44 = 311 \] Therefore, the number of red balls that should be added to the bag is 311. ### Answer: 311
Expected answer: 311
Correct? Yes
Problem: In a toy shop, there is a total of 601 toy cars. If 321 toy cars are blue, how many toy cars are not blue?
GPT-4o:
To determine the number of toy cars that are not blue, we need to subtract the number of blue toy cars from the total number of toy cars. Given: - Total number of toy cars = 601 - Number of blue toy cars = 321 We perform the subtraction: \[ 601 - 321 = 280 \] So, the number of toy cars that are not blue is 280. ### Answer: 280
Expected answer: 280
Correct? Yes
Problem: A certain breed of mouse has a metabolic rate such that it needs to consume 104 food units every day. If a group of these mice require 7592 units of food for one day, how many mice are there in the group?
GPT-4o:
To determine the number of mice in the group, we need to divide the total amount of food required by the amount of food one mouse consumes in a day. Given: - Each mouse consumes 104 food units per day. - The group of mice requires 7592 food units per day. We can set up the equation: \[ \text{Number of mice} = \frac{\text{Total food units required}}{\text{Food units per mouse}} \] Substituting the given values: \[ \text{Number of mice} = \frac{7592}{104} \] Now, we perform the division: \[ \text{Number of mice} = 73 \] ### Answer: 73
Expected answer: 73
Correct? Yes
Problem: In a park, there are 311 kids playing. If 159 of them are playing on the jungle gym, how many kids are not using the jungle gym?
GPT-4o:
To find out how many kids are not using the jungle gym, we need to subtract the number of kids playing on the jungle gym from the total number of kids in the park. Total number of kids in the park: 311 Number of kids playing on the jungle gym: 159 Number of kids not using the jungle gym = Total number of kids - Number of kids playing on the jungle gym = 311 - 159 Let's perform the subtraction: 311 -159 ----- 152 So, the number of kids not using the jungle gym is 152. ### Answer: 152
Expected answer: 152
Correct? Yes
Problem: In a basket, there are 168 apples. If a person just added 166 apples, how many apples were there in the basket before they were added?
GPT-4o:
To determine how many apples were in the basket before the additional 166 apples were added, we need to subtract the number of apples added from the total number of apples currently in the basket. Given: - Total apples in the basket now: 168 apples - Apples added: 166 apples We perform the subtraction: \[ 168 - 166 = 2 \] So, there were 2 apples in the basket before the 166 apples were added. ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: In a fantasy world, a dragon currently owns 380 gold coins in his treasure pile. If he had previously collected 333 gold coins, how many gold coins did he just add to his treasure pile?
GPT-4o:
To determine how many gold coins the dragon just added to his treasure pile, we need to subtract the number of gold coins he previously collected from the current total. The current total number of gold coins is 380. The number of gold coins he previously collected is 333. We perform the subtraction: \[ 380 - 333 = 47 \] So, the dragon just added 47 gold coins to his treasure pile. ### Answer: 47
Expected answer: 47
Correct? Yes
Problem: An accomplished drummer practices 9234 beats per day. If they play each drum solo 171 times a day, how many beats do they play during each solo?
GPT-4o:
To determine how many beats the drummer plays during each solo, we need to divide the total number of beats per day by the number of solos played per day. Given: - Total beats per day = 9234 - Number of solos per day = 171 We perform the division: \[ \frac{9234 \text{ beats}}{171 \text{ solos}} \] First, let's simplify the division: \[ 9234 \div 171 \] Performing the division: \[ 9234 \div 171 = 54 \] So, the drummer plays 54 beats during each solo. ### Answer: 54
Expected answer: 54
Correct? Yes
Problem: A zoo has 373 tigers in total. If the zoo added 55 new tigers and that made the total number of tigers 373, how many tigers were there in the zoo before the new ones arrived?
GPT-4o:
To find out how many tigers were in the zoo before the new ones arrived, we need to subtract the number of new tigers from the total number of tigers after the addition. Given: - Total number of tigers after adding new ones = 373 - Number of new tigers added = 55 We can set up the equation: \[ \text{Number of tigers before new ones} + 55 = 373 \] To find the number of tigers before the new ones arrived, we subtract 55 from 373: \[ \text{Number of tigers before new ones} = 373 - 55 \] Performing the subtraction: \[ 373 - 55 = 318 \] So, the number of tigers in the zoo before the new ones arrived was 318. ### Answer: 318
Expected answer: 318
Correct? Yes
Problem: A sunglasses store has 352 pairs of sunglasses in total. If 182 pairs are for men, how many pairs are for women?
GPT-4o:
To determine how many pairs of sunglasses are for women, we need to subtract the number of pairs for men from the total number of pairs. Given: - Total pairs of sunglasses = 352 - Pairs for men = 182 We calculate the pairs for women as follows: \[ \text{Pairs for women} = \text{Total pairs} - \text{Pairs for men} \] \[ \text{Pairs for women} = 352 - 182 \] Performing the subtraction: \[ 352 - 182 = 170 \] ### Answer: 170
Expected answer: 170
Correct? Yes
Problem: If the cloudiness index of city A was 1 point more than city B and city A had a cloudiness index of 157, what was the cloudiness index of city B?
GPT-4o:
To find the cloudiness index of city B, we start with the information given: 1. The cloudiness index of city A is 157. 2. The cloudiness index of city A is 1 point more than that of city B. Let \( x \) be the cloudiness index of city B. According to the problem, the cloudiness index of city A is \( x + 1 \). Given that the cloudiness index of city A is 157, we can set up the equation: \[ x + 1 = 157 \] To find \( x \), we subtract 1 from both sides of the equation: \[ x = 157 - 1 \] \[ x = 156 \] Therefore, the cloudiness index of city B is 156. ### Answer: 156
Expected answer: 156
Correct? Yes
Problem: A UFO was captured flying at a consistent speed. It was calculated that it traveled 3660 kilometers in 60 minutes. What was the speed of the UFO in kilometers per minute?
GPT-4o:
To determine the speed of the UFO in kilometers per minute, we need to divide the total distance traveled by the total time taken. Given: - Total distance traveled = 3660 kilometers - Total time taken = 60 minutes We use the formula for speed: \[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \] Substituting the given values: \[ \text{Speed} = \frac{3660 \text{ km}}{60 \text{ min}} \] Performing the division: \[ \text{Speed} = 61 \text{ km/min} \] ### Answer: 61 km/min
Expected answer: 61
Correct? Yes
Problem: You have a juice store that has a total of 655 bottles of juice. If 386 are apple juice, how many bottles of other types of juice are there?
GPT-4o:
To find the number of bottles of other types of juice, we need to subtract the number of apple juice bottles from the total number of juice bottles. Total number of juice bottles = 655 Number of apple juice bottles = 386 Number of other types of juice bottles = Total number of juice bottles - Number of apple juice bottles = 655 - 386 = 269 ### Answer: 269
Expected answer: 269
Correct? Yes
Problem: In a faraway galactic system a star radiates energy at 401 units per hour. If this amount includes 82 background units, how much energy does the star itself radiate per hour?
GPT-4o:
To determine how much energy the star itself radiates per hour, we need to subtract the background units from the total energy radiated. Given: - Total energy radiated per hour = 401 units - Background units = 82 units We perform the subtraction: \[ 401 \text{ units} - 82 \text{ units} = 319 \text{ units} \] Thus, the star itself radiates 319 units of energy per hour. ### Answer: 319 units
Expected answer: 319
Correct? Yes
Problem: A farmer had 414 grapes. After selling 78 of them, how many grapes do they have left?
GPT-4o:
To determine how many grapes the farmer has left after selling 78 of them, we need to subtract the number of grapes sold from the initial number of grapes. Initial number of grapes: 414 Number of grapes sold: 78 We perform the subtraction: \[ 414 - 78 = 336 \] So, the farmer has 336 grapes left. ### Answer: 336
Expected answer: 336
Correct? Yes
Problem: In a candy store, there are 107 total lollipops. If there are 34 apple-flavored lollipops, how many lollipops are of other flavors?
GPT-4o:
To find the number of lollipops of other flavors, we need to subtract the number of apple-flavored lollipops from the total number of lollipops. Total lollipops: 107 Apple-flavored lollipops: 34 Number of lollipops of other flavors = Total lollipops - Apple-flavored lollipops = 107 - 34 = 73 ### Answer: 73
Expected answer: 73
Correct? Yes
Problem: In a summer camp, there is a huge tent which takes up a total space of 352 square meters. If the space inside the tent is 36 square meters lesser than the total space, what is the actual inner space of the tent?
GPT-4o:
To find the actual inner space of the tent, we need to subtract the space that is lesser from the total space. Given: - Total space of the tent = 352 square meters - Space inside the tent is 36 square meters lesser than the total space We can calculate the inner space as follows: \[ \text{Inner space} = \text{Total space} - \text{Lesser space} \] \[ \text{Inner space} = 352 \, \text{square meters} - 36 \, \text{square meters} \] \[ \text{Inner space} = 316 \, \text{square meters} \] ### Answer: 316 square meters
Expected answer: 316
Correct? Yes
Problem: In a drumming competition, the total score a participant can earn is 95 points. If a drummer received a score of 27 points less than the total possible score, what was their score?
GPT-4o:
To find the drummer's score, we need to subtract 27 points from the total possible score of 95 points. \[ \text{Drummer's score} = 95 - 27 \] Now, let's perform the subtraction: \[ 95 - 27 = 68 \] ### Answer: 68
Expected answer: 68
Correct? Yes
Problem: In a magical world, a wizard cast a spell which resulted in 211 magical sparks. If he started with 29 sparks, how many sparks did his spell create?
GPT-4o:
To determine how many sparks the wizard's spell created, we need to subtract the initial number of sparks from the total number of sparks after the spell. The total number of sparks after the spell is 211. The initial number of sparks is 29. We perform the subtraction: \[ 211 - 29 = 182 \] Thus, the spell created 182 sparks. ### Answer: 182
Expected answer: 182
Correct? Yes
Problem: A police station has 327 police officers in total. If 231 officers are in the detective department, how many officers make up the rest of the police station's personnel?
GPT-4o:
To determine how many officers make up the rest of the police station's personnel, we need to subtract the number of officers in the detective department from the total number of officers. Given: - Total number of police officers = 327 - Number of officers in the detective department = 231 We perform the subtraction: \[ 327 - 231 = 96 \] So, the number of officers that make up the rest of the police station's personnel is 96. ### Answer: 96
Expected answer: 96
Correct? Yes
Problem: There are 5536 bars in total to construct a large jungle gym. If each section of the jungle gym requires 16 bars, how many sections can be constructed?
GPT-4o:
To determine how many sections of the jungle gym can be constructed, we need to divide the total number of bars by the number of bars required for each section. Given: - Total number of bars = 5536 - Bars required per section = 16 We perform the division: \[ \frac{5536}{16} \] First, let's do the division step-by-step: 1. Divide 5536 by 16: \[ 5536 \div 16 = 346 \] So, 346 sections can be constructed with 5536 bars. ### Answer: 346
Expected answer: 346
Correct? Yes
Problem: A mermaid finds 9282 beautiful seashells during her 91-day vacation. How many seashells does she find each day?
GPT-4o:
To determine how many seashells the mermaid finds each day, we need to divide the total number of seashells by the number of days in her vacation. Given: - Total seashells = 9282 - Number of days = 91 We perform the division: \[ \frac{9282}{91} \] First, let's set up the division: \[ 9282 \div 91 \] We can use long division to solve this: 1. 91 goes into 928 (the first three digits of 9282) 10 times because \( 91 \times 10 = 910 \). 2. Subtract 910 from 928 to get 18. 3. Bring down the next digit, which is 2, making it 182. 4. 91 goes into 182 exactly 2 times because \( 91 \times 2 = 182 \). So, the division is exact, and the quotient is: \[ 9282 \div 91 = 102 \] Thus, the mermaid finds 102 seashells each day. ### Answer: 102
Expected answer: 102
Correct? Yes
Problem: John had 726 contacts in his phone. If he previously had 345, how many new contacts did he add?
GPT-4o:
To determine how many new contacts John added, we need to subtract the number of contacts he previously had from the total number of contacts he has now. Given: - Total contacts now: 726 - Previous contacts: 345 We perform the subtraction: \[ 726 - 345 = 381 \] ### Answer: 381
Expected answer: 381
Correct? Yes
Problem: A river's length is 540 kilometers. If the upper part of the river is 191 kilometers, what is the length of the lower part of the river?
GPT-4o:
To find the length of the lower part of the river, we need to subtract the length of the upper part from the total length of the river. Given: - Total length of the river = 540 kilometers - Length of the upper part = 191 kilometers We can calculate the length of the lower part as follows: \[ \text{Length of the lower part} = \text{Total length} - \text{Length of the upper part} \] \[ \text{Length of the lower part} = 540 \, \text{km} - 191 \, \text{km} \] \[ \text{Length of the lower part} = 349 \, \text{km} \] ### Answer: 349 kilometers
Expected answer: 349
Correct? Yes
Problem: If a farmer stored some apples and the total count became 348 after adding another 219 apples, how many apples did the farmer initially have?
GPT-4o:
To find out how many apples the farmer initially had, we need to subtract the number of apples added from the total count. Given: - Total count after adding apples = 348 - Number of apples added = 219 We can set up the equation: Initial apples + 219 = 348 To find the initial number of apples, we subtract 219 from 348: \[ \text{Initial apples} = 348 - 219 \] Performing the subtraction: \[ 348 - 219 = 129 \] So, the farmer initially had 129 apples. ### Answer: 129
Expected answer: 129
Correct? Yes
Problem: An artist uses 258 bottles of paint in a month. If she has used 7 bottles already, how many more does she need to meet her monthly goal?
GPT-4o:
To determine how many more bottles of paint the artist needs to meet her monthly goal, we start with the total number of bottles she aims to use in a month, which is 258. She has already used 7 bottles. We subtract the number of bottles she has already used from her monthly goal: \[ 258 - 7 = 251 \] So, the artist needs 251 more bottles to meet her monthly goal. ### Answer: 251
Expected answer: 251
Correct? Yes
Problem: A helicopter started flying at an elevation of 124 feet. It continued to ascend until it reached an altitude of 334 feet. How many feet did the helicopter ascend after the initial 124 feet?
GPT-4o:
To determine how many feet the helicopter ascended after the initial 124 feet, we need to subtract the initial elevation from the final altitude. Final altitude: 334 feet Initial elevation: 124 feet The difference, which represents the ascent, is calculated as follows: \[ 334 \text{ feet} - 124 \text{ feet} = 210 \text{ feet} \] ### Answer: 210 feet
Expected answer: 210
Correct? Yes
Problem: A sailor is 22 miles into his journey and ends up 161 miles away from his starting point. How much farther did he travel from the point he was at 22 miles?
GPT-4o:
To determine how much farther the sailor traveled from the point he was at 22 miles, we need to subtract the initial 22 miles from the total distance of 161 miles. First, we start with the total distance: \[ 161 \text{ miles} \] Next, we subtract the distance already traveled (22 miles): \[ 161 \text{ miles} - 22 \text{ miles} = 139 \text{ miles} \] Thus, the sailor traveled an additional 139 miles from the point he was at 22 miles. ### Answer: 139 miles
Expected answer: 139
Correct? Yes
Problem: An ice cream shop made a total of 482 ice cream scoops. If 357 of those scoops are vanilla, how many scoops of other flavors did the shop make?
GPT-4o:
To find out how many scoops of other flavors the ice cream shop made, we need to subtract the number of vanilla scoops from the total number of scoops. Total scoops made: 482 Vanilla scoops: 357 We perform the subtraction: \[ 482 - 357 = 125 \] So, the number of scoops of other flavors is 125. ### Answer: 125
Expected answer: 125
Correct? Yes
Problem: During a circus performance, a juggler tossed 113 juggling balls into the air. If she started with 105 balls, how many additional balls did she add to the routine?
GPT-4o:
To determine how many additional balls the juggler added to the routine, we need to subtract the number of balls she started with from the total number of balls she tossed into the air. \[ \text{Total balls tossed} = 113 \] \[ \text{Balls she started with} = 105 \] The number of additional balls added is: \[ 113 - 105 = 8 \] ### Answer: 8
Expected answer: 8
Correct? Yes
Problem: A jeweler has a total of 267 gemstones. If 80 of these gemstones have already been attached to rings, how many gemstones has the jeweler not yet attached to any rings?
GPT-4o:
To determine how many gemstones the jeweler has not yet attached to any rings, we need to subtract the number of gemstones that have been attached to rings from the total number of gemstones. Total number of gemstones: 267 Number of gemstones attached to rings: 80 We perform the subtraction: \[ 267 - 80 = 187 \] So, the jeweler has 187 gemstones that have not yet been attached to any rings. ### Answer: 187
Expected answer: 187
Correct? Yes
Problem: A car can drive a total of 743 miles on its full tank. If the first half of the tank will get it 357 miles, how many miles will the second half of the tank get it?
GPT-4o:
To determine how many miles the second half of the tank will get the car, we need to subtract the miles driven on the first half of the tank from the total miles the car can drive on a full tank. First, we know the total miles the car can drive on a full tank is 743 miles. The first half of the tank allows the car to drive 357 miles. Now, we subtract the miles driven on the first half from the total miles: \[ 743 \text{ miles} - 357 \text{ miles} = 386 \text{ miles} \] Therefore, the second half of the tank will get the car 386 miles. ### Answer: 386 miles
Expected answer: 386
Correct? Yes
Problem: In a circus, a juggling act has a total of 447 pieces to juggle. If 273 pieces are already in use, how many extra pieces do they have left?
GPT-4o:
To determine how many extra pieces the juggling act has left, we need to subtract the number of pieces already in use from the total number of pieces. Total pieces: 447 Pieces in use: 273 We perform the subtraction: \[ 447 - 273 = 174 \] So, the juggling act has 174 extra pieces left. ### Answer: 174
Expected answer: 174
Correct? Yes
Problem: At an eyewear shop, there are 396 eyeglasses. If all the eyeglasses are manufactured in pairs, how many pairs of eyeglasses does the shop have?
GPT-4o:
To determine the number of pairs of eyeglasses, we need to divide the total number of eyeglasses by 2, since each pair consists of 2 eyeglasses. Given: - Total number of eyeglasses = 396 Calculation: \[ \text{Number of pairs} = \frac{396}{2} \] Performing the division: \[ \frac{396}{2} = 198 \] Thus, the shop has 198 pairs of eyeglasses. ### Answer: 198
Expected answer: 198
Correct? Yes
Problem: You're attempting to measure the wind speed in knots. Today, your device indicates a speed of 366 knots. Knowing that the device happens to add 314 knots to the actual speed due to a calibration error, can you calculate the actual wind speed today?
GPT-4o:
To find the actual wind speed, we need to subtract the calibration error from the indicated speed. Given: - Indicated speed = 366 knots - Calibration error = 314 knots The actual wind speed is calculated as follows: \[ \text{Actual wind speed} = \text{Indicated speed} - \text{Calibration error} \] \[ \text{Actual wind speed} = 366 \text{ knots} - 314 \text{ knots} \] \[ \text{Actual wind speed} = 52 \text{ knots} \] ### Answer: 52 knots
Expected answer: 52
Correct? Yes
Problem: A door manufacturer has a target to make 139 doors today. If they have already made 126 doors, how many more do they need to make to reach their target?
GPT-4o:
To determine how many more doors the manufacturer needs to make to reach their target, we subtract the number of doors already made from the target number of doors. The target number of doors is 139. The number of doors already made is 126. We perform the subtraction: \[ 139 - 126 = 13 \] So, the manufacturer needs to make 13 more doors to reach their target. ### Answer: 13
Expected answer: 13
Correct? Yes
Problem: If you have 200 pictures and your friend gives you 8 more, how many pictures did you start with?
GPT-4o:
To determine how many pictures you started with, we need to consider the total number of pictures after your friend gives you 8 more. Given: - You have 200 pictures initially. - Your friend gives you 8 more pictures. The total number of pictures after receiving the additional ones is: \[ 200 + 8 = 208 \] However, the question asks how many pictures you started with, which is clearly stated as 200. ### Answer: 200
Expected answer: 192
Correct? No
Problem: The police department has a total of 195 officers. If 95 of those officers are on vacation, how many are on active duty?
GPT-4o:
To determine the number of officers on active duty, we need to subtract the number of officers on vacation from the total number of officers. Total number of officers: 195 Number of officers on vacation: 95 Number of officers on active duty = Total number of officers - Number of officers on vacation = 195 - 95 = 100 ### Answer: 100
Expected answer: 100
Correct? Yes
Problem: In a Word document, there are a total of 578 words in it. If you know that you already wrote 206 words, how many more words will you have to write?
GPT-4o:
To determine how many more words you need to write, you can subtract the number of words you have already written from the total number of words required. Total words required: 578 Words already written: 206 Now, subtract the words already written from the total words required: \[ 578 - 206 = 372 \] ### Answer: 372
Expected answer: 372
Correct? Yes
Problem: A helicopter is carrying supplies for a total weight of 498 pounds. If the gear, excluding the weight of the supplies, weighs 251 pounds, how many pounds of supplies is the helicopter carrying?
GPT-4o:
To find the weight of the supplies, we need to subtract the weight of the gear from the total weight. Total weight = 498 pounds Weight of the gear = 251 pounds Weight of the supplies = Total weight - Weight of the gear Weight of the supplies = 498 pounds - 251 pounds Weight of the supplies = 247 pounds ### Answer: 247 pounds
Expected answer: 247
Correct? Yes
Problem: In a school, there are 632 books in total. If the English teacher has 271 of those books, how many books do the other teachers have?
GPT-4o:
To find out how many books the other teachers have, we need to subtract the number of books the English teacher has from the total number of books. Total number of books = 632 Number of books the English teacher has = 271 Number of books the other teachers have = Total number of books - Number of books the English teacher has = 632 - 271 Let's perform the subtraction: 632 -271 ----- 361 So, the other teachers have 361 books. ### Answer: 361
Expected answer: 361
Correct? Yes
Problem: In a bubble-making competition, a contestant created 161 bubbles. If he already had 142 bubbles and then blew more, how many additional bubbles did he blow?
GPT-4o:
To find out how many additional bubbles the contestant blew, we need to subtract the number of bubbles he already had from the total number of bubbles he created. Total bubbles created: 161 Bubbles he already had: 142 Additional bubbles blown = Total bubbles created - Bubbles he already had Additional bubbles blown = 161 - 142 ### Answer: 19
Expected answer: 19
Correct? Yes
Problem: In a chicken farm, there are 254 chickens. If there were originally 41 chickens and the rest were newly hatched, how many chickens were newly hatched?
GPT-4o:
To determine the number of newly hatched chickens, we need to subtract the number of original chickens from the total number of chickens on the farm. Given: - Total number of chickens = 254 - Number of original chickens = 41 We can calculate the number of newly hatched chickens as follows: \[ \text{Number of newly hatched chickens} = \text{Total number of chickens} - \text{Number of original chickens} \] \[ \text{Number of newly hatched chickens} = 254 - 41 \] \[ \text{Number of newly hatched chickens} = 213 \] ### Answer: 213
Expected answer: 213
Correct? Yes
Problem: In the magical land of unicorns, there are 619 unicorns in total. If 227 of those unicorns are baby unicorns, how many unicorns are grown adults?
GPT-4o:
To determine the number of grown adult unicorns, we need to subtract the number of baby unicorns from the total number of unicorns. Total number of unicorns: 619 Number of baby unicorns: 227 Number of grown adult unicorns = Total number of unicorns - Number of baby unicorns = 619 - 227 Let's perform the subtraction: ``` 619 - 227 ------ 392 ``` ### Answer: 392
Expected answer: 392
Correct? Yes
Problem: If the total amount of money in your bank account is $425, and $298 of it is still available after paying bills, how much did you spend on bills?
GPT-4o:
To determine how much was spent on bills, we need to subtract the amount still available after paying bills from the total amount in the bank account. Total amount in the bank account: $425 Amount still available after paying bills: $298 Amount spent on bills = Total amount - Amount still available Amount spent on bills = $425 - $298 Let's perform the subtraction: $425 - $298 = $127 ### Answer: $127
Expected answer: 127
Correct? Yes
Problem: After sharpening a number of pencils, a total of 127 bits of eraser were cut off. If 29 of them came from blue pencils, how many came from red pencils?
GPT-4o:
To find out how many bits of eraser came from red pencils, we need to subtract the number of bits that came from blue pencils from the total number of bits. Total bits of eraser cut off: 127 Bits from blue pencils: 29 Bits from red pencils = Total bits - Bits from blue pencils = 127 - 29 = 98 ### Answer: 98
Expected answer: 98
Correct? Yes
Problem: Angela's watch is fast by 262 minutes. If it is showing a time that's 399 minutes later than it actually is, then how many minutes ahead was it initially set?
GPT-4o:
To determine how many minutes ahead Angela's watch was initially set, we need to consider the information given: 1. Angela's watch is fast by 262 minutes. 2. The watch is showing a time that is 399 minutes later than the actual time. The difference between the time shown by the watch and the actual time is 399 minutes. This difference includes the 262 minutes by which the watch is fast. Therefore, the remaining difference must be the initial setting ahead of the actual time. Let's denote the initial setting ahead by \( x \) minutes. According to the problem, the total difference of 399 minutes is the sum of the watch being fast by 262 minutes and the initial setting ahead \( x \): \[ 262 + x = 399 \] To find \( x \), we solve the equation: \[ x = 399 - 262 \] \[ x = 137 \] Thus, the watch was initially set 137 minutes ahead. ### Answer: 137
Expected answer: 137
Correct? Yes
Problem: In a fireplace factory, a special type of fireplace is produced. If 1891 fireplaces were produced in a certain period of time and each day during that period produced 61 fireplaces, how many days did this period last?
GPT-4o:
To determine the number of days the factory took to produce 1891 fireplaces, we need to divide the total number of fireplaces by the number of fireplaces produced per day. Given: - Total fireplaces produced = 1891 - Fireplaces produced per day = 61 We perform the division: \[ \text{Number of days} = \frac{1891}{61} \] Now, let's calculate: \[ 1891 \div 61 = 31 \] So, the period lasted for 31 days. ### Answer: 31
Expected answer: 31
Correct? Yes
Problem: A star in the outer space is emitting 497 units of light in total. If 266 units are perceived by our naked eye, how many units of light are only detected by special instruments?
GPT-4o:
To determine how many units of light are only detected by special instruments, we need to subtract the units of light perceived by our naked eye from the total units of light emitted by the star. Given: - Total units of light emitted by the star = 497 units - Units of light perceived by our naked eye = 266 units Calculation: \[ \text{Units of light detected by special instruments} = \text{Total units of light} - \text{Units of light perceived by naked eye} \] \[ = 497 - 266 \] \[ = 231 \] ### Answer: 231
Expected answer: 231
Correct? Yes
Problem: In a chocolate factory, a mixer made 508 kg chocolate mixture for the day. If the chocolate without the added flavorings weighted 142 kg, how much kg of flavorings did the mixer add to the chocolate?
GPT-4o:
To find out how much flavorings were added to the chocolate, we need to subtract the weight of the chocolate without the added flavorings from the total weight of the chocolate mixture. Given: - Total weight of the chocolate mixture = 508 kg - Weight of the chocolate without flavorings = 142 kg We can calculate the weight of the flavorings added by subtracting the weight of the chocolate without flavorings from the total weight of the mixture: \[ \text{Weight of flavorings} = \text{Total weight of the chocolate mixture} - \text{Weight of the chocolate without flavorings} \] \[ \text{Weight of flavorings} = 508 \, \text{kg} - 142 \, \text{kg} \] \[ \text{Weight of flavorings} = 366 \, \text{kg} \] ### Answer: 366 kg
Expected answer: 366
Correct? Yes
Problem: A butterfly has 327 spots on its wings. If we subtract 4 from the number of spots, we will get another kind of butterfly. How many spots does this new type of butterfly have?
GPT-4o:
To find the number of spots on the new type of butterfly, we need to subtract 4 from the original number of spots. Starting with 327 spots: \[ 327 - 4 = 323 \] So, the new type of butterfly has 323 spots. ### Answer: 323
Expected answer: 323
Correct? Yes
Problem: The price of a luxury wristwatch is $402. If the manufacturing cost of the watch is $261, how much is the profit gained from selling the watch?
GPT-4o:
To determine the profit gained from selling the watch, we need to subtract the manufacturing cost from the selling price. Given: - Selling price of the watch = $402 - Manufacturing cost of the watch = $261 Profit = Selling price - Manufacturing cost Profit = $402 - $261 Profit = $141 ### Answer: $141
Expected answer: 141
Correct? Yes
Problem: A house needs 4082 bricks for its front wall. If each row utilizes 157 bricks, how many rows of bricks were used to complete the wall?
GPT-4o:
To determine the number of rows of bricks used to complete the wall, we need to divide the total number of bricks by the number of bricks per row. Given: - Total number of bricks = 4082 - Bricks per row = 157 We perform the division: \[ \text{Number of rows} = \frac{4082}{157} \] Let's calculate this: \[ \frac{4082}{157} \approx 26 \] So, the number of rows of bricks used to complete the wall is 26. ### Answer: 26
Expected answer: 26
Correct? Yes
Problem: A teacher has 344 books. If she already had 67 books and was given some more as a gift, how many books did she receive as a gift?
GPT-4o:
To determine how many books the teacher received as a gift, we need to subtract the number of books she already had from the total number of books she now has. The total number of books the teacher has is 344. The number of books she already had is 67. We can set up the equation: \[ \text{Number of books received as a gift} = \text{Total number of books} - \text{Number of books already had} \] Substituting the given values: \[ \text{Number of books received as a gift} = 344 - 67 \] Now, we perform the subtraction: \[ 344 - 67 = 277 \] ### Answer: 277
Expected answer: 277
Correct? Yes
Problem: In a police department, 524 police officers are currently on the force. If 376 of them are on duty, how many officers are off duty?
GPT-4o:
To determine the number of police officers who are off duty, we need to subtract the number of officers on duty from the total number of officers on the force. Given: - Total number of police officers = 524 - Number of officers on duty = 376 We perform the subtraction: \[ 524 - 376 = 148 \] Therefore, the number of police officers who are off duty is 148. ### Answer: 148
Expected answer: 148
Correct? Yes
Problem: A farmer counted that he has 1190 tomatoes overall. If each of his tomato plants produced exactly 35 tomatoes, how many tomato plants does the farmer have?
GPT-4o:
To determine the number of tomato plants the farmer has, we need to divide the total number of tomatoes by the number of tomatoes produced by each plant. Given: - Total number of tomatoes = 1190 - Number of tomatoes per plant = 35 We perform the division: \[ \text{Number of plants} = \frac{1190}{35} \] First, let's simplify the division: \[ 1190 \div 35 = 34 \] So, the farmer has 34 tomato plants. ### Answer: 34
Expected answer: 34
Correct? Yes
Problem: In a furniture showroom, there are a total of 297 chairs. If 280 of these chairs are wooden, how many chairs are not made of wood?
GPT-4o:
To determine the number of chairs that are not made of wood, we need to subtract the number of wooden chairs from the total number of chairs. Given: - Total number of chairs = 297 - Number of wooden chairs = 280 We perform the subtraction: \[ 297 - 280 = 17 \] So, the number of chairs that are not made of wood is 17. ### Answer: 17
Expected answer: 17
Correct? Yes
Problem: A cat catches 32 mice every day. If the cat catches a total of 1504 mice, how many days did it take the cat to catch all the mice?
GPT-4o:
To determine how many days it took the cat to catch a total of 1504 mice, we need to divide the total number of mice by the number of mice caught per day. Given: - The cat catches 32 mice every day. - The total number of mice caught is 1504. We use the formula: \[ \text{Number of days} = \frac{\text{Total number of mice}}{\text{Number of mice caught per day}} \] Substituting the given values: \[ \text{Number of days} = \frac{1504}{32} \] Perform the division: \[ 1504 \div 32 = 47 \] So, it took the cat 47 days to catch all the mice. ### Answer: 47
Expected answer: 47
Correct? Yes
Problem: A bubble blower machine blows 440 bubbles in one minute. If it blows 325 bubbles in the first half minute, how many bubbles does it blow in the second half minute?
GPT-4o:
To determine how many bubbles the machine blows in the second half minute, we need to subtract the number of bubbles blown in the first half minute from the total number of bubbles blown in one minute. First, we know the total number of bubbles blown in one minute: \[ 440 \text{ bubbles} \] Next, we know the number of bubbles blown in the first half minute: \[ 325 \text{ bubbles} \] To find the number of bubbles blown in the second half minute, we subtract the number of bubbles blown in the first half minute from the total number of bubbles: \[ 440 - 325 = 115 \] ### Answer: 115
Expected answer: 115
Correct? Yes
Problem: A truck has a total weight capacity of 430 kg. If 261 kg is already being used up, how much more weight can it carry?
GPT-4o:
To determine how much more weight the truck can carry, we need to subtract the weight already being used from the total weight capacity. Total weight capacity of the truck: 430 kg Weight already being used: 261 kg We perform the subtraction: \[ 430 \, \text{kg} - 261 \, \text{kg} = 169 \, \text{kg} \] ### Answer: 169 kg
Expected answer: 169
Correct? Yes
Problem: If a cheesemaker has 554 kilograms of cheese and it includes 156 kilograms of cheddar cheese, how many kilograms of the remaining cheese is not cheddar cheese?
GPT-4o:
To determine how many kilograms of the remaining cheese is not cheddar cheese, we need to subtract the amount of cheddar cheese from the total amount of cheese. Given: - Total cheese = 554 kilograms - Cheddar cheese = 156 kilograms We perform the subtraction: \[ 554 - 156 = 398 \] So, the amount of cheese that is not cheddar cheese is 398 kilograms. ### Answer: 398 kilograms
Expected answer: 398
Correct? Yes
Problem: A dairy farm has 433 cows in total. If 71 of them are still calves, how many of them are fully grown adult cows?
GPT-4o:
To determine the number of fully grown adult cows, we need to subtract the number of calves from the total number of cows. Total number of cows = 433 Number of calves = 71 Number of fully grown adult cows = Total number of cows - Number of calves Number of fully grown adult cows = 433 - 71 Let's perform the subtraction: 433 - 71 = 362 ### Answer: 362
Expected answer: 362
Correct? Yes
Problem: In a wind-turbine farm, there's a turbine which is able to generate 8640 kWh of electricity everyday when wind speed is steady at 45 kph. How many kWh does each kph of wind speed generate?
GPT-4o:
To determine how many kWh of electricity each kph of wind speed generates, we need to divide the total electricity generated by the wind speed. Given: - Total electricity generated per day = 8640 kWh - Wind speed = 45 kph We perform the division: \[ \text{Electricity generated per kph} = \frac{8640 \text{ kWh}}{45 \text{ kph}} \] \[ \text{Electricity generated per kph} = 192 \text{ kWh/kph} \] ### Answer: 192 kWh/kph
Expected answer: 192
Correct? Yes
Problem: A crayon factory is running a special production line that produces 5040 crayons in one day by operating for 't' hours. If the factory machine can produce 45 crayons every hour, for how many hours was the machine operating?
GPT-4o:
To determine the number of hours the machine was operating, we need to use the given information and set up an equation. We know: - The total number of crayons produced in one day is 5040. - The machine produces 45 crayons every hour. Let \( t \) be the number of hours the machine was operating. The total number of crayons produced can be expressed as: \[ 45 \text{ crayons/hour} \times t \text{ hours} = 5040 \text{ crayons} \] To find \( t \), we solve the equation: \[ 45t = 5040 \] Divide both sides by 45: \[ t = \frac{5040}{45} \] Now, perform the division: \[ t = 112 \] ### Answer: 112
Expected answer: 112
Correct? Yes
Problem: In a hat store, there are 298 hats in total. If 201 of those hats are baseball hats, how many are not baseball hats?
GPT-4o:
To determine the number of hats that are not baseball hats, we need to subtract the number of baseball hats from the total number of hats. Total number of hats: 298 Number of baseball hats: 201 Number of hats that are not baseball hats = Total number of hats - Number of baseball hats = 298 - 201 = 97 ### Answer: 97
Expected answer: 97
Correct? Yes
Problem: A particular type of cucumber plant produces 242 cucumbers. If each plant has 22 fruits, how many plants are there?
GPT-4o:
To determine the number of cucumber plants, we need to divide the total number of cucumbers by the number of fruits each plant produces. Given: - Total cucumbers = 242 - Fruits per plant = 22 We perform the division: \[ \text{Number of plants} = \frac{242}{22} \] Calculating the division: \[ \frac{242}{22} = 11 \] So, there are 11 cucumber plants. ### Answer: 11
Expected answer: 11
Correct? Yes
Problem: A city received 750 millimeters of rainfall during the monsoon season. If, in the first half of the season, there were 359 millimeters of rainfall, how much rainfall did the city receive in the second half of the season?
GPT-4o:
To find out how much rainfall the city received in the second half of the monsoon season, we need to subtract the rainfall in the first half from the total rainfall. Total rainfall during the monsoon season: 750 millimeters Rainfall in the first half of the season: 359 millimeters Rainfall in the second half of the season = Total rainfall - Rainfall in the first half = 750 millimeters - 359 millimeters = 391 millimeters ### Answer: 391 millimeters
Expected answer: 391
Correct? Yes
Problem: The weight of a fully inflated balloon is 573 grams. If the weight of the balloon itself is 254 grams, what is the weight of the air inside the balloon?
GPT-4o:
To find the weight of the air inside the balloon, we need to subtract the weight of the balloon itself from the total weight of the fully inflated balloon. Given: - Weight of the fully inflated balloon = 573 grams - Weight of the balloon itself = 254 grams We can calculate the weight of the air inside the balloon as follows: \[ \text{Weight of the air inside the balloon} = \text{Weight of the fully inflated balloon} - \text{Weight of the balloon itself} \] \[ \text{Weight of the air inside the balloon} = 573 \, \text{grams} - 254 \, \text{grams} \] \[ \text{Weight of the air inside the balloon} = 319 \, \text{grams} \] ### Answer: 319 grams
Expected answer: 319
Correct? Yes
Problem: A balloon seller just inflated a new batch of balloons, bringing the total number of balloons to 434. If the seller had 179 balloons already, how many new balloons did they inflate?
GPT-4o:
To determine how many new balloons the seller inflated, we need to subtract the number of balloons the seller already had from the total number of balloons after inflating the new batch. Given: - Total number of balloons after inflating the new batch: 434 - Number of balloons the seller already had: 179 We perform the subtraction: \[ 434 - 179 = 255 \] Thus, the seller inflated 255 new balloons. ### Answer: 255
Expected answer: 255
Correct? Yes
Problem: A bus operator counted 631 passengers in total today. If 362 passengers boarded the bus in the morning, how many passengers boarded the bus in the afternoon?
GPT-4o:
To find the number of passengers who boarded the bus in the afternoon, we need to subtract the number of passengers who boarded in the morning from the total number of passengers. Given: - Total passengers: 631 - Passengers in the morning: 362 We perform the subtraction: \[ 631 - 362 = 269 \] So, the number of passengers who boarded the bus in the afternoon is 269. ### Answer: 269
Expected answer: 269
Correct? Yes
Problem: If you added 8 liters of blue paint to some amount of yellow paint to make 280 liters of green paint, how many liters of yellow paint did you use?
GPT-4o:
To determine how many liters of yellow paint were used, we start by noting that the total amount of green paint is 280 liters. This total is made up of the blue paint and the yellow paint. Given: - Blue paint added: 8 liters - Total green paint: 280 liters We can set up the equation: \[ \text{Yellow paint} + \text{Blue paint} = \text{Total green paint} \] Let \( y \) represent the amount of yellow paint. Then: \[ y + 8 = 280 \] To find \( y \), we solve the equation: \[ y = 280 - 8 \] \[ y = 272 \] So, the amount of yellow paint used is 272 liters. ### Answer: 272 liters
Expected answer: 272
Correct? Yes
Problem: Through a telescope, an astronomer spots 419 celestial bodies in the sky. If 132 of those bodies are discovered to be stars, how many bodies are not stars?
GPT-4o:
To determine how many celestial bodies are not stars, we need to subtract the number of stars from the total number of celestial bodies. Total number of celestial bodies: 419 Number of stars: 132 We perform the subtraction: \[ 419 - 132 = 287 \] So, the number of celestial bodies that are not stars is 287. ### Answer: 287
Expected answer: 287
Correct? Yes
Problem: In a wild, one lion is eating 147 pounds of food each week. If the total amount of food eaten in four weeks is 588 pounds, how many weeks is accounted for?
GPT-4o:
To determine how many weeks are accounted for, we need to verify the given information and perform the necessary calculations. First, we know that one lion eats 147 pounds of food each week. We are given that the total amount of food eaten in four weeks is 588 pounds. We need to check if this information is consistent. Let's calculate the total amount of food eaten in four weeks by one lion: \[ 147 \text{ pounds/week} \times 4 \text{ weeks} = 588 \text{ pounds} \] Since the total amount of food eaten in four weeks is indeed 588 pounds, this confirms that the information is consistent. Therefore, the number of weeks accounted for is: \[ 4 \text{ weeks} \] ### Answer: 4 weeks
Expected answer: 4
Correct? Yes
Problem: John earns money by babysitting. He babysitted for 30 hours and earned a total of 4440 dollars. How much does he earn per hour?
GPT-4o:
To determine how much John earns per hour, we need to divide the total amount he earned by the number of hours he babysat. Given: - Total earnings = $4440 - Total hours = 30 We use the formula: \[ \text{Earnings per hour} = \frac{\text{Total earnings}}{\text{Total hours}} \] Substituting the given values: \[ \text{Earnings per hour} = \frac{4440}{30} \] Perform the division: \[ \text{Earnings per hour} = 148 \] ### Answer: $148 per hour
Expected answer: 148
Correct? Yes
Problem: If a cow produces 3360 pounds of milk over a period of time and the average amount of milk the cow produces per day is 120 pounds, how many days was the milk collected for?
GPT-4o:
To determine the number of days the milk was collected, we need to divide the total amount of milk produced by the average amount of milk produced per day. Given: - Total milk produced = 3360 pounds - Average milk produced per day = 120 pounds We use the formula: \[ \text{Number of days} = \frac{\text{Total milk produced}}{\text{Average milk produced per day}} \] Substituting the given values: \[ \text{Number of days} = \frac{3360 \text{ pounds}}{120 \text{ pounds/day}} \] Performing the division: \[ \text{Number of days} = 28 \] ### Answer: 28
Expected answer: 28
Correct? Yes
Problem: A tiger sanctuary has a total of 380 tigers. If 81 of them are Siberian tigers, how many are non-Siberian tigers?
GPT-4o:
To find the number of non-Siberian tigers, we need to subtract the number of Siberian tigers from the total number of tigers. Total number of tigers = 380 Number of Siberian tigers = 81 Number of non-Siberian tigers = Total number of tigers - Number of Siberian tigers = 380 - 81 = 299 ### Answer: 299
Expected answer: 299
Correct? Yes
Problem: A wind turbine generated 361 kilowatts of electricity in a day. During the morning, it generated 151 kilowatts. How many kilowatts were generated by the wind turbine in the afternoon?
GPT-4o:
To find out how many kilowatts were generated by the wind turbine in the afternoon, we need to subtract the amount generated in the morning from the total amount generated in the day. Total electricity generated in a day: 361 kilowatts Electricity generated in the morning: 151 kilowatts Electricity generated in the afternoon = Total electricity - Electricity generated in the morning = 361 kilowatts - 151 kilowatts = 210 kilowatts ### Answer: 210 kilowatts
Expected answer: 210
Correct? Yes
Problem: In a city, the total rainfall over the course of a month was 76mm. If it rained 41mm in the first half of the month, how much did it rain in the second half of the month?
GPT-4o:
To find out how much it rained in the second half of the month, we need to subtract the rainfall in the first half from the total rainfall for the month. Total rainfall for the month = 76 mm Rainfall in the first half of the month = 41 mm Rainfall in the second half of the month = Total rainfall - Rainfall in the first half = 76 mm - 41 mm = 35 mm ### Answer: 35 mm
Expected answer: 35
Correct? Yes
Problem: The local park has installed 30 new benches. If the total cost of installation was $6690, what was the cost to install each bench?
GPT-4o:
To find the cost to install each bench, we need to divide the total cost of installation by the number of benches. Total cost of installation = $6690 Number of benches = 30 Cost per bench = Total cost of installation / Number of benches Cost per bench = $6690 / 30 Now, let's perform the division: \[ \frac{6690}{30} = 223 \] So, the cost to install each bench is $223. ### Answer: $223
Expected answer: 223
Correct? Yes
Problem: A mermaid found a treasure chest containing 4554 pearls. If she found 46 pearls each time she dived, how many times did she dive to collect all the pearls?
GPT-4o:
To determine how many times the mermaid dived to collect all the pearls, we need to divide the total number of pearls by the number of pearls she found each time she dived. Given: - Total number of pearls = 4554 - Pearls found per dive = 46 We perform the division: \[ \frac{4554}{46} \] First, let's perform the division step-by-step: 1. Divide 4554 by 46: \[ 4554 \div 46 = 99 \] So, the mermaid dived 99 times to collect all the pearls. ### Answer: 99
Expected answer: 99
Correct? Yes
Problem: In a garden, there are 62 beautiful butterflies. If 28 of them are painted lady butterflies, how many are not painted lady butterflies?
GPT-4o:
To determine how many butterflies are not painted lady butterflies, we need to subtract the number of painted lady butterflies from the total number of butterflies in the garden. Given: - Total number of butterflies = 62 - Number of painted lady butterflies = 28 We perform the subtraction: \[ 62 - 28 = 34 \] So, the number of butterflies that are not painted lady butterflies is 34. ### Answer: 34
Expected answer: 34
Correct? Yes
Problem: Princess Serena has a total of 644 charms in her collection. If she gained 310 silver charms over the last year, how many gold charms did she already have in her collection?
GPT-4o:
To determine how many gold charms Princess Serena already had in her collection, we need to subtract the number of silver charms she gained from the total number of charms in her collection. Given: - Total number of charms: 644 - Number of silver charms gained: 310 We can set up the equation: \[ \text{Number of gold charms} = \text{Total number of charms} - \text{Number of silver charms gained} \] Substituting the given values: \[ \text{Number of gold charms} = 644 - 310 \] Performing the subtraction: \[ 644 - 310 = 334 \] ### Answer: 334
Expected answer: 334
Correct? Yes
Problem: One of Mary's bracelets is made out of individual pieces, and she counted that there are 276 pieces in total. If Mary only adds pieces in sets of 4, what was the original count of pieces before she added the last set?
GPT-4o:
To determine the original count of pieces before Mary added the last set of 4 pieces, we need to subtract 4 from the total number of pieces. Given: - Total pieces after adding the last set: 276 - Pieces added in the last set: 4 Original count of pieces before adding the last set: \[ 276 - 4 = 272 \] ### Answer: 272
Expected answer: 272
Correct? Yes
Problem: A doll collector has 716 dolls in total. If 380 of those dolls are porcelain dolls, how many dolls are not porcelain?
GPT-4o:
To find out how many dolls are not porcelain, we need to subtract the number of porcelain dolls from the total number of dolls. Total number of dolls = 716 Number of porcelain dolls = 380 Number of dolls that are not porcelain = Total number of dolls - Number of porcelain dolls = 716 - 380 = 336 ### Answer: 336
Expected answer: 336
Correct? Yes
Problem: A music store has 456 guitars in total. If 228 of those guitars are electric, how many of the guitars are acoustic?
GPT-4o:
To determine the number of acoustic guitars, we need to subtract the number of electric guitars from the total number of guitars. Given: - Total number of guitars = 456 - Number of electric guitars = 228 We can set up the equation: \[ \text{Number of acoustic guitars} = \text{Total number of guitars} - \text{Number of electric guitars} \] Substituting the given values: \[ \text{Number of acoustic guitars} = 456 - 228 \] Performing the subtraction: \[ 456 - 228 = 228 \] ### Answer: 228
Expected answer: 228
Correct? Yes
Problem: At the base of a mountain, hikers start at an elevation of 103 meters. By the end of their climb, they reach a total elevation of 457 meters. How many meters did the hikers climb?
GPT-4o:
To determine how many meters the hikers climbed, we need to find the difference between their final elevation and their starting elevation. Starting elevation: 103 meters Final elevation: 457 meters The difference in elevation is calculated as follows: \[ 457 \text{ meters} - 103 \text{ meters} = 354 \text{ meters} \] ### Answer: 354 meters
Expected answer: 354
Correct? Yes
Problem: In a castle, there are 264 total rooms. If 234 of those rooms are occupied, how many rooms are unoccupied?
GPT-4o:
To find the number of unoccupied rooms, we need to subtract the number of occupied rooms from the total number of rooms. Total number of rooms = 264 Number of occupied rooms = 234 Number of unoccupied rooms = Total number of rooms - Number of occupied rooms Number of unoccupied rooms = 264 - 234 ### Answer: 30
Expected answer: 30
Correct? Yes
Problem: In a ball factory, the number of soccer balls is 359. If that number includes 286 made yesterday, how many were made today?
GPT-4o:
To determine how many soccer balls were made today, we need to subtract the number of soccer balls made yesterday from the total number of soccer balls. Given: - Total number of soccer balls: 359 - Number of soccer balls made yesterday: 286 We perform the subtraction: \[ 359 - 286 = 73 \] So, the number of soccer balls made today is 73. ### Answer: 73
Expected answer: 73
Correct? Yes
Problem: There are 326 beach balls at a seaside resort. If one part of the beach already has 246 beach balls, how many beach balls are there in the other part?
GPT-4o:
To find out how many beach balls are in the other part of the beach, we need to subtract the number of beach balls in one part from the total number of beach balls. Given: - Total number of beach balls = 326 - Number of beach balls in one part = 246 We perform the subtraction: \[ 326 - 246 = 80 \] So, there are 80 beach balls in the other part of the beach. ### Answer: 80
Expected answer: 80
Correct? Yes
Problem: There are 9287 passengers that took the bus this week. If each bus can carry 251 passengers, how many buses were needed to carry all the passengers?
GPT-4o:
To determine how many buses were needed to carry all the passengers, we need to divide the total number of passengers by the capacity of each bus. First, we perform the division: \[ \frac{9287}{251} \] Using long division or a calculator, we find: \[ 9287 \div 251 \approx 37.00 \] Since we cannot have a fraction of a bus, we need to round up to the next whole number because even a small fraction of passengers would require an additional bus. Thus, the number of buses needed is: \[ \lceil 37.00 \rceil = 37 \] ### Answer: 37
Expected answer: 37
Correct? Yes
Problem: A farmer harvested 438 cucumbers in total. If he previously harvested 69 cucumbers, how many cucumbers did he harvest this time?
GPT-4o:
To find out how many cucumbers the farmer harvested this time, we need to subtract the number of cucumbers he previously harvested from the total number of cucumbers harvested. Total cucumbers harvested = 438 Previously harvested cucumbers = 69 Now, we perform the subtraction: \[ 438 - 69 = 369 \] So, the farmer harvested 369 cucumbers this time. ### Answer: 369
Expected answer: 369
Correct? Yes
Problem: In a warehouse, there are 424 chairs. If 208 chairs are already loaded onto the truck, how many chairs are left in the warehouse to be loaded?
GPT-4o:
To determine how many chairs are left in the warehouse to be loaded, we need to subtract the number of chairs already loaded onto the truck from the total number of chairs in the warehouse. Total number of chairs in the warehouse: 424 Number of chairs already loaded onto the truck: 208 We perform the subtraction: \[ 424 - 208 = 216 \] So, there are 216 chairs left in the warehouse to be loaded. ### Answer: 216
Expected answer: 216
Correct? Yes
Problem: Superhero Flash can run 198 miles in an hour. If the total miles he can run is increased by 19 miles per hour compared to his previous speed, what was his previous speed?
GPT-4o:
Let's denote Flash's previous speed as \( x \) miles per hour. According to the problem, Flash's current speed is 198 miles per hour, which is 19 miles per hour more than his previous speed. Therefore, we can set up the following equation: \[ x + 19 = 198 \] To find \( x \), we need to solve for \( x \): \[ x = 198 - 19 \] \[ x = 179 \] So, Flash's previous speed was 179 miles per hour. ### Answer: 179 miles per hour.
Expected answer: 179
Correct? Yes
Problem: On a farm, there are a total of 727 animals. If 342 of those animals are chickens, how many animals are not chickens?
GPT-4o:
To determine the number of animals that are not chickens, we need to subtract the number of chickens from the total number of animals on the farm. Given: - Total number of animals = 727 - Number of chickens = 342 We perform the subtraction: \[ 727 - 342 = 385 \] So, the number of animals that are not chickens is 385. ### Answer: 385
Expected answer: 385
Correct? Yes
Problem: A chocolate factory has a daily production of 385 chocolate bars. If 230 bars are dark chocolate, how many bars are milk chocolate?
GPT-4o:
To determine the number of milk chocolate bars produced daily, we need to subtract the number of dark chocolate bars from the total daily production. Given: - Total daily production of chocolate bars = 385 - Number of dark chocolate bars = 230 We can find the number of milk chocolate bars by performing the following subtraction: \[ \text{Number of milk chocolate bars} = \text{Total daily production} - \text{Number of dark chocolate bars} \] \[ \text{Number of milk chocolate bars} = 385 - 230 \] \[ \text{Number of milk chocolate bars} = 155 \] ### Answer: 155
Expected answer: 155
Correct? Yes
Problem: The initial altitude of a mountain is 289 meters above sea level but after some tectonic activity, it is now 357 meters above sea level. By how many meters did the altitude increase after the tectonic activity?
GPT-4o:
To determine the increase in altitude, we need to subtract the initial altitude from the new altitude. Initial altitude: 289 meters New altitude: 357 meters Increase in altitude = New altitude - Initial altitude Increase in altitude = 357 meters - 289 meters Now, let's perform the subtraction: 357 - 289 = 68 ### Answer: 68 meters
Expected answer: 68
Correct? Yes
Problem: If a zoo needs 4572 pounds of food to feed every monkey over a month and every single monkey eats 36 pounds of food in a month, how many monkeys are there in the zoo?
GPT-4o:
To determine the number of monkeys in the zoo, we need to divide the total amount of food required by the amount of food each monkey eats in a month. Given: - Total food required: 4572 pounds - Food consumed by each monkey in a month: 36 pounds We can find the number of monkeys by performing the division: \[ \text{Number of monkeys} = \frac{\text{Total food required}}{\text{Food consumed by each monkey}} \] \[ \text{Number of monkeys} = \frac{4572}{36} \] Now, let's perform the division: \[ 4572 \div 36 = 127 \] So, there are 127 monkeys in the zoo. ### Answer: 127
Expected answer: 127
Correct? Yes
Problem: A doll house can hold 16 dolls in each room. If it can house a total of 832 dolls, how many rooms are in the doll house?
GPT-4o:
To determine the number of rooms in the doll house, we need to divide the total number of dolls by the number of dolls each room can hold. Given: - Total number of dolls = 832 - Number of dolls each room can hold = 16 We perform the division: \[ \text{Number of rooms} = \frac{832}{16} \] Now, let's calculate: \[ \frac{832}{16} = 52 \] So, the doll house has 52 rooms. ### Answer: 52
Expected answer: 52
Correct? Yes
Problem: A luxurious watch costs $422. If the manufacturing cost is $200, how much is charged for brand value, sales profits, and other overheads?
GPT-4o:
To determine how much is charged for brand value, sales profits, and other overheads, we need to subtract the manufacturing cost from the total cost of the watch. Given: - Total cost of the watch: $422 - Manufacturing cost: $200 We calculate the difference: \[ 422 - 200 = 222 \] So, the amount charged for brand value, sales profits, and other overheads is $222. ### Answer: $222
Expected answer: 222
Correct? Yes