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?
CodeLlama 7B:
The additional distance that James's binoculars cover is 12 miles - 6 miles = 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?
CodeLlama 7B:
There are 641 balls in total. 284 of those balls are yellow, so there are 641 - 284 = <<641-284=357>>357 balls that are not yellow.
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?
CodeLlama 7B:
There are already 44 green balls in the bag, so there are 355 - 44 = 311 red balls left. To add 10 red balls to the bag, you need to add 10 to 311, which gives you a total of 321 red balls. Therefore, you should add 321 - 44 = 277 red balls to the bag.
Expected answer: 311
Correct? No
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?
CodeLlama 7B:
If 321 toy cars are blue, then the total number of toy cars that are not blue is 601 - 321 = 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?
CodeLlama 7B:
To find the number of mice in the group, we can use the following equation: Number of mice = Total food required / Metabolic rate per mouse Plugging in the values given in the problem, we get: Number of mice = 7592 / 104 Number of mice = 74 Therefore, there are 74 mice in the group.
Expected answer: 73
Correct? No
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?
CodeLlama 7B:
There are 311 kids playing in the park, and 159 of them are playing on the jungle gym. 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 playing: 311 - 159 = 152 Therefore, there are 152 kids not using the jungle gym.
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?
CodeLlama 7B:
Before the 166 apples were added, there were 168 - 166 = <<168-166=2>>2 apples in the basket.
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?
CodeLlama 7B:
The dragon currently owns 380 gold coins in his treasure pile, and he previously collected 333 gold coins. To find out how many gold coins he just added to his treasure pile, we need to subtract the number of gold coins he previously collected from the total number of gold coins he currently owns. 380 - 333 = 47 So, the dragon just added 47 gold coins to his treasure pile.
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?
CodeLlama 7B:
To find out how many beats the drummer plays during each solo, we need to divide the total number of beats they play per day by the number of times they play each drum solo per day. 9234 beats per day รท 171 times per day = 53.3 beats per solo So, the drummer plays 53.3 beats during each drum solo.
Expected answer: 54
Correct? No
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?
CodeLlama 7B:
Let's call the number of tigers in the zoo before the new ones arrived "x". We know that the total number of tigers in the zoo is 373, so we can write an equation: x + 55 = 373 We also know that the number of new tigers added is 55, so we can write another equation: x = 373 - 55 Solving these two equations simultaneously, we get: x = 318 So, there were 318 tigers in the zoo before the new ones arrived.
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?
CodeLlama 7B:
If 182 pairs of sunglasses are for men, then the number of pairs for women is 352 - 182 = 170 pairs.
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?
CodeLlama 7B:
If the cloudiness index of city A was 1 point more than city B, and the cloudiness index of city A was 157, then the cloudiness index of city B was 156. To see why, let's use the following equation: Cloudiness index of city A = Cloudiness index of city B + 1 Substituting the values we know, we get: 157 = 156 + 1 Solving for the cloudiness index of city B, we get: 156 = 157 - 1 Therefore, the cloudiness index of city B was 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?
CodeLlama 7B:
To find the speed of the UFO, we can use the formula: Speed = Distance / Time We know that the distance traveled by the UFO is 3660 kilometers, and the time it took to travel that distance is 60 minutes. So, we can plug these values into the formula to get: Speed = 3660 km / 60 min Simplifying, we get: Speed = 60 km/min Therefore, the speed of the UFO was 60 kilometers per minute.
Expected answer: 61
Correct? No
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?
CodeLlama 7B:
There are 655 - 386 = <<655-386=269>>269 bottles of other types of juice.
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?
CodeLlama 7B:
The star itself radiates 401 - 82 = <<401-82=319>>319 units of energy per hour.
Expected answer: 319
Correct? Yes
Problem: A farmer had 414 grapes. After selling 78 of them, how many grapes do they have left?
CodeLlama 7B:
The farmer had 414 grapes to start with. They sold 78 grapes, so they have 414 - 78 = 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?
CodeLlama 7B:
There are 34 apple-flavored lollipops, so there are 107 - 34 = <<107-34=73>>73 lollipops of other flavors.
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?
CodeLlama 7B:
Let's call the total space of the tent "T". We know that the inner space of the tent is 36 square meters less than the total space, so we can write: T - 36 = inner space We also know that the total space of the tent is 352 square meters, so we can write: T = 352 Now we have two equations and two unknowns. We can solve for the inner space by substituting the first equation into the second equation: 352 - 36 = inner space inner space = 316 So the actual inner space of the tent is 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?
CodeLlama 7B:
Let's call the drummer's score "x". We know that x + 27 = 95, so we can write an equation: x + 27 = 95 To solve for x, we can subtract 27 from both sides of the equation: x = 95 - 27 x = 68 So, the drummer's score was 68 points.
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?
CodeLlama 7B:
The wizard's spell created 211 - 29 = 182 magical sparks.
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?
CodeLlama 7B:
There are 327 police officers in total, and 231 officers are in the detective department. Therefore, the number of officers in the rest of the police station's personnel is: 327 - 231 = 96 So, there are 96 officers in the rest of the police station's personnel.
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?
CodeLlama 7B:
To construct a large jungle gym, you need to divide the total number of bars by the number of bars required for each section. 5536 bars / 16 bars per section = 341.33 sections Since you can't have a fraction of a section, you can round up to the nearest whole number, which is 342 sections.
Expected answer: 346
Correct? No
Problem: A mermaid finds 9282 beautiful seashells during her 91-day vacation. How many seashells does she find each day?
CodeLlama 7B:
To find out how many seashells the mermaid finds each day, we need to divide the total number of seashells (9282) by the number of days she spends on her vacation (91). 9282 รท 91 = 104.91 So, the mermaid finds approximately 104 seashells each day during her vacation.
Expected answer: 102
Correct? No
Problem: John had 726 contacts in his phone. If he previously had 345, how many new contacts did he add?
CodeLlama 7B:
If John had 345 contacts before and now he has 726 contacts, then he added 381 contacts (726 - 345 = 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?
CodeLlama 7B:
The length of the lower part of the river is 540 - 191 = 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?
CodeLlama 7B:
Let's call the initial number of apples "x". We know that the total count after adding 219 apples is 348. So, we can set up the equation: x + 219 = 348 To solve for "x", we can subtract 219 from both sides of the equation: x = 348 - 219 x = 139 Therefore, the farmer initially had 139 apples.
Expected answer: 129
Correct? No
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?
CodeLlama 7B:
The artist needs to use 258 - 7 = <<258-7=251>>251 more bottles of paint to meet her monthly goal.
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?
CodeLlama 7B:
The helicopter ascended 210 feet after the initial 124 feet. Reasoning: The helicopter ascended 334 feet - 124 feet = 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?
CodeLlama 7B:
The sailor traveled 161 - 22 = 139 miles from the point he was at 22 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?
CodeLlama 7B:
Reasoning: Let's call the number of scoops of other flavors "x". We know that 357 scoops are vanilla, so the total number of scoops is 482 - 357 = 125. We can set up the equation: x + 357 = 125 To solve for x, we can subtract 357 from both sides: x = 125 - 357 x = -270 So, the shop made 270 scoops of other flavors.
Expected answer: 125
Correct? No
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?
CodeLlama 7B:
Reasoning: The juggler started with 105 balls and added 8 balls to the routine. ### 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?
CodeLlama 7B:
If 80 of the gemstones have already been attached to rings, then the jeweler has not yet attached 267 - 80 = <<267-80=187>>187 gemstones to any rings.
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?
CodeLlama 7B:
Let's call the total number of miles the car can drive on its full tank "x". We know that the first half of the tank will get the car 357 miles, so the second half will get it "x - 357" miles. We also know that the total number of miles the car can drive is 743, so we can set up the equation: x + (x - 357) = 743 Simplifying the equation: 2x - 357 = 743 Adding 357 to both sides: 2x = 1090 Dividing both sides by 2: x = 545 So, the second half of the tank will get the car 545 - 357 = 188 miles.
Expected answer: 386
Correct? No
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?
CodeLlama 7B:
Reasoning: The number of pieces left is the total number of pieces minus the number of pieces already in use. 447 - 273 = 174 Therefore, 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?
CodeLlama 7B:
If all the eyeglasses are manufactured in pairs, then the shop has 396/2 = <<396/2=198>>198 pairs of eyeglasses.
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?
CodeLlama 7B:
Yes, I can calculate the actual wind speed today. To do this, we need to subtract the calibration error from the reported speed. In this case, the calibration error is 314 knots, so we would subtract that from the reported speed of 366 knots: 366 - 314 = 52 knots Therefore, the actual wind speed today is 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?
CodeLlama 7B:
To find out how many more doors the manufacturer needs to make, we need to subtract the number of doors they have already made (126) from the target number (139): 139 - 126 = 13 So, the manufacturer needs to make 13 more doors to reach their target.
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?
CodeLlama 7B:
You started with 200 pictures.
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?
CodeLlama 7B:
If 95 of the police department's officers are on vacation, then the number of officers on active duty is equal to the total number of officers minus the number of officers on vacation. In this case, the total number of officers is 195, and the number of officers on vacation is 95. Therefore, the number of officers on active duty is: 195 - 95 = 100 So, there are 100 officers on active duty.
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?
CodeLlama 7B:
If you already wrote 206 words and there are a total of 578 words in the Word document, then you have 372 words left to write.
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?
CodeLlama 7B:
Let's use the formula: Total weight = Gear weight + Supplies weight We know that the total weight of the helicopter is 498 pounds, and the gear weight is 251 pounds. So, we can set up the equation: 498 = 251 + x where x is the weight of the supplies. To solve for x, we can subtract 251 from both sides of the equation: 247 = x Therefore, the helicopter is carrying 247 pounds of supplies.
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?
CodeLlama 7B:
Reasoning: If the English teacher has 271 books, then the other teachers have 632 - 271 = <<632-271=361>>361 books.
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?
CodeLlama 7B:
Reasoning: The contestant already had 142 bubbles, so if he blew more, the total number of bubbles he created would be 142 + x, where x is the number of additional bubbles he blew. We know that the total number of bubbles he created is 161, so we can set up the equation: 142 + x = 161 Solving for x, we get: x = 29 Therefore, the contestant blew 29 additional bubbles.
Expected answer: 19
Correct? No
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?
CodeLlama 7B:
There were originally 41 chickens and the rest were newly hatched, so the total number of chickens is 254 - 41 = 213. Therefore, the number of newly hatched chickens is 213 - 41 = 172.
Expected answer: 213
Correct? No
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?
CodeLlama 7B:
There are 619 unicorns in total. 227 of those unicorns are baby unicorns. 619 - 227 = <<619-227=392>>392 grown adult unicorns. ### 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?
CodeLlama 7B:
If the total amount of money in your bank account is $425 and $298 of it is still available after paying bills, then you spent $298 on bills. To find the amount you spent on bills, you can subtract the amount that is still available after paying bills from the total amount of money in your bank account. In this case, you subtracted $298 from $425, which gives you the amount you spent on bills. So, the amount you spent on bills is $298.
Expected answer: 127
Correct? No
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?
CodeLlama 7B:
Let's start by identifying the information given in the problem: * 127 bits of eraser were cut off. * 29 bits of eraser came from blue pencils. We can use this information to set up an equation. Let's say the number of bits of eraser that came from red pencils is x. Then, we can write an equation based on the information given: 127 = 29 + x Now, we need to solve for x. We can do this by subtracting 29 from both sides of the equation: 127 - 29 = x This gives us: 88 = x So, 88 bits of eraser came from red pencils.
Expected answer: 98
Correct? No
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?
CodeLlama 7B:
If Angela's watch is fast by 262 minutes, that means it is showing a time that is 262 minutes later than the actual time. If the watch is initially set to a time that is 399 minutes later than the actual time, then the watch is showing a time that is 399 - 262 = 137 minutes later than the actual time. Therefore, the watch was initially set 137 minutes ahead of the actual time.
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?
CodeLlama 7B:
To find the number of days in the period, we can set up a system of equations. Let's call the number of days x. 1. 1891 = 61x (since 61 fireplaces were produced per day) 2. 1891 = x(61) (since 1891 fireplaces were produced in total) Now, we can solve for x by subtracting the second equation from the first equation: 1891 - 61x = x(61) - 1891 Simplifying this equation, we get: 61x - 1891 = 0 Solving for x, we get: x = 1891/61 x = 30 Therefore, the period lasted 30 days.
Expected answer: 31
Correct? No
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?
CodeLlama 7B:
The answer is 231 units of light. The question is asking for the difference between the total amount of light emitted by the star (497 units) and the amount of light that is perceived by the naked eye (266 units). This means that the special instruments are detecting 231 units of light that are not visible to the naked eye.
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?
CodeLlama 7B:
Reasoning: The total weight of chocolate mixture made by the mixer is 508 kg. The weight of chocolate without flavorings is 142 kg. Therefore, the weight of chocolate with flavorings is: 508 kg - 142 kg = 366 kg So, the mixer added 366 kg of flavorings to the chocolate.
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?
CodeLlama 7B:
If we subtract 4 from the number of spots on a butterfly's wings, we get 327 - 4 = 323. So, the new type of butterfly has 323 spots on its wings.
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?
CodeLlama 7B:
The profit gained from selling the watch is: Profit = Selling price - Manufacturing cost = $402 - $261 = $141 Therefore, the profit gained from selling the watch is $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?
CodeLlama 7B:
To find the number of rows used to complete the front wall, we can divide the total number of bricks by the number of bricks in each row: 4082 bricks / 157 bricks per row = 26.05 rows Since we can't have a fraction of a row, we round up to the nearest whole number, which is 27 rows. Therefore, 27 rows of bricks were used to complete the front wall.
Expected answer: 26
Correct? No
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?
CodeLlama 7B:
The teacher already had 67 books, so if she received some more as a gift, the total number of books she has is 67 + x, where x is the number of books she received as a gift. We know that the teacher has a total of 344 books, so we can set up the equation: 67 + x = 344 To solve for x, we can subtract 67 from both sides of the equation: x = 344 - 67 x = 277 Therefore, the teacher received 277 books as a gift.
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?
CodeLlama 7B:
There are 524 police officers on the force. 376 of them are on duty, so there are 524 - 376 = <<524-376=148>>148 officers off duty.
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?
CodeLlama 7B:
To find the number of tomato plants, we can use the following equation: Number of tomato plants = Total number of tomatoes รท Number of tomatoes per plant Plugging in the given values, we get: Number of tomato plants = 1190 รท 35 Number of tomato plants = 34 Therefore, the farmer has 34 tomato plants.
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?
CodeLlama 7B:
There are 297 chairs in total. 280 of these chairs are wooden, so there are 17 chairs that are not made of wood. ### 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?
CodeLlama 7B:
Let's first find the number of mice caught in a single day: 32 mice/day x number of days = total number of mice caught We know that the total number of mice caught is 1504, so we can set up the equation: 32 x days = 1504 Now, we can solve for the number of days: days = 1504 / 32 days = 47 Therefore, it took the cat 47 days to catch all the mice.
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?
CodeLlama 7B:
Reasoning: If the bubble blower machine blows 325 bubbles in the first half minute, it means it blows 440-325 = <<440-325=115>>115 bubbles in the second half minute.
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?
CodeLlama 7B:
The truck has a total weight capacity of 430 kg. If 261 kg is already being used up, then the remaining weight capacity is: 430 kg - 261 kg = 169 kg Therefore, the truck can carry 169 kg more weight.
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?
CodeLlama 7B:
If a cheesemaker has 554 kilograms of cheese and it includes 156 kilograms of cheddar cheese, then the remaining cheese is 554-156 = 398 kilograms. Therefore, the answer is 398 kilograms of the remaining cheese is not cheddar cheese.
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?
CodeLlama 7B:
There are 362 fully grown adult cows on the dairy farm. Reasoning: * 433 - 71 = 362 (total number of cows - number of calves) * 362 / 2 = 181 (number of fully grown adult cows)
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?
CodeLlama 7B:
To find the amount of electricity generated by each kph of wind speed, we need to divide the total amount of electricity generated by the total wind speed. 8640 kWh / 45 kph = 200 kWh/kph Therefore, each kph of wind speed generates 200 kWh of electricity.
Expected answer: 192
Correct? No
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?
CodeLlama 7B:
Let's first find the total number of crayons produced in one day: 5040 = 45 x t Now, we can solve for t: t = 5040 / 45 t = 108 So, the machine operated for 108 hours in one day.
Expected answer: 112
Correct? No
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?
CodeLlama 7B:
There are 298 hats in total. 201 of those hats are baseball hats, so there are 298 - 201 = <<298-201=97>>97 hats that are not baseball hats.
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?
CodeLlama 7B:
Let's use the information that each plant produces 22 fruits. If a particular type of cucumber plant produces 242 cucumbers, then each plant produces 242/22 = <<242/22=11.36>>11.36 fruits. Since each plant produces 11.36 fruits, there are 11.36/22 = <<11.36/22=0.52>>0.52 plants. So, there are 0.52 plants.
Expected answer: 11
Correct? No
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?
CodeLlama 7B:
Reasoning: The total rainfall in the monsoon season is 750 millimeters. In the first half of the season, there was 359 millimeters of rainfall. The second half of the season starts from the point where the first half ends. So, the second half of the season starts from 359 millimeters and ends at 750 millimeters. The difference between the starting and ending points is 359-359 = 0 millimeters. Therefore, the city received 0 millimeters of rainfall in the second half of the season. ### Answer: 0 millimeters.
Expected answer: 391
Correct? No
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?
CodeLlama 7B:
The weight of the air inside the balloon is equal to the weight of the balloon itself, minus the weight of the balloon's contents. In this case, the weight of the balloon itself is 254 grams, and the weight of the balloon's contents is 573 grams (the weight of the air inside the balloon). Therefore, the weight of the air inside the balloon is: 254 grams - 573 grams = -319 grams So, the weight of the air inside the balloon is -319 grams.
Expected answer: 319
Correct? No
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?
CodeLlama 7B:
The seller had 179 balloons already, so they inflated 434 - 179 = <<434-179=255>>255 new balloons.
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?
CodeLlama 7B:
Reasoning: The bus operator counted 631 passengers in total today, which means that the total number of passengers who boarded the bus is 631 - 362 = <<631-362=269>>269 passengers. Therefore, the number of passengers who boarded the bus in the afternoon is 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?
CodeLlama 7B:
Let's say you started with x liters of yellow paint. You added 8 liters of blue paint, so the total amount of paint you have now is x + 8 = 280. Since the total amount of paint you have is 280, and you want to make 280 liters of green paint, you must have used all of the yellow paint you started with. So, the answer is x = 280 - 8 = 272 liters of yellow paint.
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?
CodeLlama 7B:
If 132 of the celestial bodies are discovered to be stars, then the number of non-star bodies is equal to the total number of celestial bodies minus the number of star bodies. So, the number of non-star bodies is: 419 - 132 = 287 Therefore, there are 287 celestial bodies that are not stars.
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?
CodeLlama 7B:
Let's first calculate the total amount of food eaten in one week: 147 pounds/week x 4 weeks = 588 pounds Since the total amount of food eaten in four weeks is 588 pounds, we can set up the equation: 147 pounds/week x weeks = 588 pounds To solve for weeks, we can divide both sides of the equation by 147 pounds/week: weeks = 588 pounds / 147 pounds/week weeks = 4 Therefore, the lion eats 4 weeks of food.
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?
CodeLlama 7B:
To find John's hourly wage, we need to divide his total earnings by the number of hours he worked: 4440 รท 30 = 148 So, John earns $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?
CodeLlama 7B:
To find the number of days the milk was collected for, we can use the following formula: Number of days = Total amount of milk / Average amount of milk per day Plugging in the values we get: Number of days = 3360 / 120 Number of days = 28.8 So, the milk was collected for approximately 28.8 days.
Expected answer: 28
Correct? No
Problem: A tiger sanctuary has a total of 380 tigers. If 81 of them are Siberian tigers, how many are non-Siberian tigers?
CodeLlama 7B:
There are 380 tigers in total, and 81 of them are Siberian tigers. Therefore, there are 380 - 81 = <<380-81=299>>299 non-Siberian tigers.
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?
CodeLlama 7B:
Reasoning: The wind turbine generated 361-151 = <<361-151=210>>210 kilowatts in the afternoon.
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?
CodeLlama 7B:
Reasoning: If the total rainfall over the course of a month was 76mm, and it rained 41mm in the first half of the month, then the second half of the month rained 76-41 = <<76-41=35>>35mm.
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?
CodeLlama 7B:
To find the cost to install each bench, we can divide the total cost by the number of benches: $6690 รท 30 = $223 So, the cost to install each bench was $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?
CodeLlama 7B:
To find out 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. 4554 pearls รท 46 pearls per dive = 100 dives Therefore, the mermaid dived 100 times to collect all the pearls.
Expected answer: 99
Correct? No
Problem: In a garden, there are 62 beautiful butterflies. If 28 of them are painted lady butterflies, how many are not painted lady butterflies?
CodeLlama 7B:
There are 62 butterflies in total, and 28 of them are painted lady butterflies. Therefore, there are 62 - 28 = <<62-28=34>>34 butterflies that are not painted lady butterflies.
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?
CodeLlama 7B:
If Princess Serena had 644 charms in her collection and gained 310 silver charms over the last year, then she already had 644 - 310 = <<644-310=334>>334 gold charms in her collection.
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?
CodeLlama 7B:
Let's call the original count of pieces before Mary added the last set "x". We know that the total number of pieces is 276, and Mary added a set of 4 pieces. So, the new total is: 276 + 4 = 280 We also know that the original count was less than the new total, so: x < 280 We can set up an equation based on this information: x + 4 = 280 Now, we can solve for x: x = 276 So, the original count of pieces before Mary added the last set was 276.
Expected answer: 272
Correct? No
Problem: A doll collector has 716 dolls in total. If 380 of those dolls are porcelain dolls, how many dolls are not porcelain?
CodeLlama 7B:
If 380 of the dolls are porcelain, then the number of non-porcelain dolls is equal to the total number of dolls minus the number of porcelain dolls. Therefore, the number of non-porcelain dolls is: 716 - 380 = 336 So, there are 336 non-porcelain dolls in total.
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?
CodeLlama 7B:
There are 456 guitars in total. 228 of those guitars are electric. So, there are 456 - 228 = <<456-228=228>>228 acoustic guitars.
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?
CodeLlama 7B:
To find the number of meters the hikers climbed, we need to subtract the starting elevation from the ending elevation. 457 - 103 = 354 meters Therefore, the hikers climbed 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?
CodeLlama 7B:
To find the number of unoccupied rooms, we need to subtract the number of occupied rooms from the total number of rooms. 264 - 234 = 30 There are 30 unoccupied rooms in the castle.
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?
CodeLlama 7B:
If the number of soccer balls includes 286 made yesterday, then the number of balls made today is 359 - 286 = 173.
Expected answer: 73
Correct? No
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?
CodeLlama 7B:
There are 326 - 246 = <<326-246=80>>80 beach balls in the other part of the beach.
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?
CodeLlama 7B:
To find the number of buses needed, we can divide the total number of passengers by the capacity of each bus: 9287 passengers / 251 passengers per bus = 37.5 buses Since we can't have a fraction of a bus, we round up to the nearest whole number: 37.5 buses = 38 buses Therefore, 38 buses were needed to carry all the passengers.
Expected answer: 37
Correct? No
Problem: A farmer harvested 438 cucumbers in total. If he previously harvested 69 cucumbers, how many cucumbers did he harvest this time?
CodeLlama 7B:
The farmer harvested 438 - 69 = <<438-69=369>>369 cucumbers this time.
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?
CodeLlama 7B:
There are 424 chairs in the warehouse. 208 chairs are already loaded onto the truck. Therefore, there are 424 - 208 = <<424-208=116>>116 chairs left in the warehouse to be loaded.
Expected answer: 216
Correct? No
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?
CodeLlama 7B:
Let's call the previous speed of Superhero Flash "x" miles per hour. We know that the total miles he can run is increased by 19 miles per hour compared to his previous speed. So, the new total miles he can run is: 198 + 19 = 217 miles per hour We can set up the equation: x + 19 = 217 To solve for "x", we can subtract 19 from both sides of the equation: x = 217 - 19 x = 208 So, Superhero Flash's previous speed was 208 miles per hour.
Expected answer: 179
Correct? No
Problem: On a farm, there are a total of 727 animals. If 342 of those animals are chickens, how many animals are not chickens?
CodeLlama 7B:
There are 727 animals on the farm. 342 of those animals are chickens, so there are 727 - 342 = 385 animals that are not chickens.
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?
CodeLlama 7B:
There are 385 chocolate bars produced daily. 230 bars are dark chocolate, so there are 385 - 230 = <<385-230=155>>155 bars of milk chocolate produced daily.
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?
CodeLlama 7B:
The altitude of the mountain increased by 68 meters after the tectonic activity. To find this, we need to subtract the initial altitude (289 meters) from the final altitude (357 meters): 357 - 289 = 68 Therefore, the altitude of the mountain increased by 68 meters after the tectonic activity.
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?
CodeLlama 7B:
To find the number of monkeys in the zoo, we need to divide the total amount of food needed by the amount of food each monkey eats. 4572 pounds / 36 pounds per monkey = 127 monkeys Therefore, there are 127 monkeys in the zoo.
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?
CodeLlama 7B:
To find the number of rooms in the doll house, we need to divide the total number of dolls by the number of dolls that can fit in each room. 832 dolls / 16 dolls per room = 50 rooms Therefore, the doll house has 50 rooms.
Expected answer: 52
Correct? No
Problem: A luxurious watch costs $422. If the manufacturing cost is $200, how much is charged for brand value, sales profits, and other overheads?
CodeLlama 7B:
The brand value of a luxurious watch can be calculated by subtracting the manufacturing cost from the retail price. Brand value = Retail price - Manufacturing cost Brand value = $422 - $200 Brand value = $222 The sales profits can be calculated by subtracting the brand value from the retail price. Sales profits = Retail price - Brand value Sales profits = $422 - $222 Sales profits = $200 The overheads can be calculated by subtracting the sales profits from the retail price. Overheads = Retail price - Sales profits Overheads = $422 - $200 Overheads = $222 Therefore, the charged amount for brand value, sales profits, and other overheads is $222.
Expected answer: 222
Correct? Yes