text
stringlengths
473
18.3k
###Human Brad wanted to set up a lemonade stand to earn some money. Every gallon of lemonade would yield 16 glasses. He figured it would cost him $3.50 to make every gallon of lemonade. He made 2 gallons to sell and decided he would sell each glass for $1.00 He drank 5 glasses while sitting in his stand. He sold all but 6 glasses of lemonade. How much net profit did Brad earn?.###Assistant 14, He made 2 gallons and each gallon had 16 glasses so 2 * 16 = 32 glasses. He drank 5 glasses and had 6 left over which means he would not earn money on 5 + 6 = 11 glasses. The total revenue would come from 32 - 11 = 21 glasses. Each gallon cost $3.50 to make so the total cost was 2 * 3.50 = $7.00. He sold 21 glasses at $1.00 per glass for a total of 1 * 21 = $21.00. When you take his earnings of $21.00 and subtract the cost of $7.00 his total net profit was 21 - 7 = $14.00.
###Human Markus is twice the age of his son, and Markus's son is twice the age of Markus's grandson. If the sum of the ages of Markus, his son, and his grandson is 140 years, then how many years old is Markus's grandson?.###Assistant 20, Let "x" be the age of Markus's grandson. If Markus's son is twice the age of Markus's grandson, then Markus's son is 2 * x. If Markus is twice the age of his son, then Markus is 2 * 2 * x. Therefore, if the sum of the ages of Markus, his son, and his grandson is 140 years, then x + (2 * x) + (2 * 2 * x) = 140 years. Simplifying the equation, we see that 7 * x = 140 years. Therefore, the age of Markus's grandson is x = 20 years old.
###Human Marissa is serving her kids lunch. Each kid gets a burger with 400 calories and 5 carrot sticks with 20 calories each, and some cookies with 50 calories each. Marissa wants each kid to eat a total of 750 calories for lunch. How many cookies does each kid get?.###Assistant 5, First figure out how many total calories come from the carrots by multiplying the calories per carrot by the number of carrots: 20 calories / carrot * 5 carrots = 100 calories. Then subtract the calories the kids have already eaten from the goal number of calories to find out how many more total calories they should eat: 750 calories - 400 calories - 100 calories = 250 calories. Then divide the total number of calories by the calories per cookie to find the number of cookies each kid gets: 250 calories / 50 calories / cookie = 5 cookies.
###Human Janet buys 45-pound containers of cat litter for $21 each. If her cat litter box holds 15 pounds of cat litter, and she changes out the litter weekly, how much will it cost, in dollars, for her to buy enough litter to last 210 days?.###Assistant 210, If she changes the box weekly, then in 210 days, she will change the box 210 / 7 = 30 times. At 15 pounds of litter for every box change, she will require 30 * 15 = 450 pounds of cat litter in 210 days. If she buys 45 - pound containers, then for 450 pounds she will need to buy 450 / 45 = 10 containers of litter. At $21 per container, to buy enough cat litter for 210 days, it will cost 10 * $21 = $210.
###Human To win a brand new Bible at Tom Sawyer's Sunday school, a pupil has to win 10 yellow tickets; each yellow ticket is obtained by trading in 10 red tickets; each red ticket is obtained by trading in 10 blue tickets; and blue tickets are earned by memorizing two Bible verses. But rather than go to all that trouble, Tom Sawyer has traded various toys and treasures of his with his friends until he has gathered 8 yellow, 3 red, and 7 blue tickets. How many more blue tickets would he need to earn to win a new Bible?.###Assistant 163, A red ticket is equal to 10 blue tickets, and a yellow is equal to ten red tickets, so a yellow ticket is also equal to 10 * 10 = 100 blue tickets. It takes 10 yellow tickets to win a Bible, or 10 * 100 = 1000 blue tickets. Tom has 8 yellow tickets, which are worth 8 * 100 = 800 blue tickets. He also has 3 red tickets, which are worth 3 * 10 = 30 blue tickets. Added with his 7 blue tickets, he has 800 + 30 + 7 = 837 blue tickets' worth of tickets. So he still needs to earn 1000 - 837 = 163 blue tickets.
###Human Mark wants to order a pair of slippers for his wife with her initials embroidered on top. The slippers are currently $50.00 and are 10% off. The embroidery will be $5.50 per shoe and shipping is a flat rate of $10.00. How much will the slippers cost?.###Assistant 66, The slippers are $50.00 and currently 10% off so that’s 50 * .10 = $5.00 discount. The slippers are $50.00 with a $5.00 discount which makes them 50 - 5 = $45.00. The embroidery will be $5.50 per shoe, and 2 shoes make a pair so it will cost 5.50 * 2 = $11.00. The shoes are on sale for $45.00, the embroidery will be $11.00 and the shipping is $10.00 for a total of 45 + 11 + 10 = $66.00.
###Human Carter has a 14-hour road trip. He wants to stop every 2 hours to stretch his legs. He also wants to make 2 additional stops for food and 3 additional stops for gas. If each pit stop takes 20 minutes, how many hours will his road trip become?.###Assistant 18, He has a 14 - hour trip and wants to stop every 2 hours so that's 14 / 2 = 7 pit stops. He will make 7 pit stops plus 2 more for food and 3 more for gas for a total of 7 + 2 + 3 = 12 pit stops. Each pit stop will take 20 minutes and he is making 12 stops so that's 20 * 12 = 240 minutes. 60 minutes are in an hour and he's adding 240 minutes to his trip so that's 240 / 60 = 4 more hours. His trip started as 14 hours and he will add an additional 4 hours in pit stops for a total of a 14 + 4 = 18 hour long trip.
###Human The swimming club went to a swim meet in another town. They took 2 cars and 3 vans. There were 5 people in each car and 3 people in each van. Each car can hold a maximum of 6 people and each van can hold a maximum of 8 people. How many more people could have ridden with the swim team?.###Assistant 17, The available number of people in each car is 6 * 2 cars = 12 people. The available number of people in each van is 8 * 3 vans = 24 people. The total number of people that could go with the team is 12 people + 24 people = 36 people. The team took with them 2 cars * 5 people = 10 people. The team also took 3 vans * 3 people = 9 people. The team brought 10 people + 9 people = 19 people. The team could bring an additional 36 people - 19 people = 17 people.
###Human Aubrie has four cards with the labels W, X, Y, Z printed on them. W is tagged with the number 200, X is tagged with half the number W is tagged with, Y is tagged with the total of X and W's tags and Z is tagged with the number 400. Calculate the total of all the tagged numbers..###Assistant 1000, If the card with the letter X has half the number the card with letter W has, it has 1 / 2 * 200 = 100. Together, cards with letters W and X have tags that total 100 + 200 = 300. If the card with the letter Y has the total of the numbers cards with letters, W and X have, then the total for cards with letters W, X, and Y is 300 + 300 = 600. Since the card with the letter Z has a tag of 200, the total of the numbers the tags have is 600 + 400 = 1000.
###Human When three friends sold their video games, Ryan, the first of the three friends, received $50 more than Jason from his sales. Jason received 30% more money than Zachary from selling his video games. If Zachary sold 40 games at $5 each, calculate the total amount of money the three friends received together from the sale of the video games..###Assistant 770, The total amount of money that Zachary received from selling his video games is $40 * 5 = $200. Jason received 30 / 100 * $200 = $60 more than the amount Zachary received after selling his games. The total amount of money that Jason received is $60 + $200 = $260. Together, Zachary and Jason received $260 + $200 = $460 from the sale of their video games. Ryan received $260 + $50 = $310 from the sale of his video games. The three friends made a total of $310 + $460 = $770 from the sale of the video games.
###Human A state fair charges $5 for a ticket. Two-thirds of the people who buy a ticket will buy deep-fried fair food for $8, one quarter will go on a ride for $4, and one eighth will spend $15 on a souvenir. The fair made $2520 from tickets. How many dollars did they make in all?.###Assistant 6657, The fair made $2520 from tickets, so they had 2520 / 5 = 504 people attend the fair. Two - thirds of those people will buy food, so 504 * 2 / 3 = 336 people will buy food. The fair will make 336 * 8 = $2688 from food. A quarter of the people will go on a ride, so 504 / 4 = 126 people will go on a ride. The fair will make 126 * 4 = $504 from rides. An eighth of the people will buy a souvenir, so 504 / 8 = 63 people will buy souvenirs. The fair will make 63 * 15 = $945 from souvenirs. In all, the fair will make 2520 + 2688 + 504 + 945 = $6657.
###Human Lana and Mike are taking their dog and renting a cabin in the mountains for 2 weeks. The daily rate is $125.00 There is a $100.00 pet fee. There is also a 20% service/cleaning fee for the rental. They need to pay 50% of the entire bill as a security deposit. How much is their security deposit?.###Assistant 1110, There are 7 days in a week and they're going for 2 weeks so that's 7 * 2 = 14 days. The daily rate is $125.00 and they are staying for 14 days so that's 125 * 14 = $1,750.00. There is also a $100.00 pet fee on top of their rental fee of $1,750.00 so that's 100 + 1750 = $1850.00. There is a 20% fee on the $1,850.00 so the fee comes to .20 * 1850 = $370.00. The rental will costs $1,850.00 and there is $370.00 service / cleaning fee for a total of 1850 + 370 = $2,220.00. They need to pay 50% of the entire bill as a security deposit so that will be .5 * 2220 = $1,110.00.
###Human Quinton is looking to add 4 fruit trees to his backyard. He wants to plant 2 apple trees that will be 10 feet wide each and need 12 feet between them. The peach trees will be closer to the house and will grow to be 12 feet wide and will need 15 feet between each tree. All told, how much space will these trees take up in his yard?.###Assistant 71, Both apple trees will be 10 feet wide at maturity so they will be 2 * 10 = 20 feet wide. Quinton will need to leave 12 feet between these 2 trees so the apple trees will take up 20 + 12 = 32 feet. Both peach trees will be 12 feet wide at maturity so they will be 2 * 12 = 24 feet wide. Quinton will need to leave 15 feet between these 2 trees so the peach trees will take up 24 + 15 = 39 feet. Together, the apple trees will take up 32 feet and the peach trees will take up 39 feet so they will take 32 + 39 = 71 feet.
###Human Two puppies, two kittens, and three parakeets were for sale at the pet shop. The puppies were three times more expensive than the parakeets, and the parakeets were half as expensive as the kittens. If the cost of one parakeet was $10, what would it cost to purchase all of the pets for sale at the pet shop, in dollars?.###Assistant 130, Puppies cost three times more than parakeets, or 3 * $10 = $30 per puppy. Parakeets were half as expensive as the kittens, or 2 * $10 = $20 per kitten. Two puppies cost 2 * $30 = $60. Two kittens cost 2 * $20 = $40. And three parakeets cost 3 * $10 = $30. Thus, the cost to purchase all of the pets for sale at the pet shop is $60 + $40 + $30 = $130.
###Human In the Oprah Winfrey High School marching band, each trumpet and clarinet player carries 5 pounds of weight, each trombone player carries 10 pounds of weight, each tuba player carries 20 pounds of weight, and each drum player carries 15 pounds of weight. If there are 6 trumpets, 9 clarinets, 8 trombones, 3 tubas, and 2 drummers, how much weight does the total marching band carry?.###Assistant 245, First find the total number of clarinet and trumpet players: 6 players + 9 players = 15 players. Then find the total weight of the trumpets and clarinets: 15 players * 5 pounds / player = 75 pounds. Then find the total weight of the trombones: 8 players * 10 pounds / player = 80 pounds. Then find the total weight of the tubas: 3 players * 20 pounds / player = 60 pounds. Then find the total weight of the drummers: 2 drummers * 15 pounds / player = 30 pounds. Then add the weight of each type of instrument to find the total weight: 75 pounds + 80 pounds + 60 pounds + 30 pounds = 245 pounds.
###Human Jimmy is setting up a garden. He has three plots: one plot for green beans, one plot for carrots, and one plot for corn. Each corn plant produces 5 times as many servings of veggies as each carrot, and each green bean plant produces half as many servings as each corn plant. If each carrot produces 4 servings of vegetables, and each plot has 9 plants, how many servings of vegetables is Jimmy growing?.###Assistant 306, First, find how many servings one corn plant produces by multiplying the number of carrot servings by 5: 4 servings * 5 = 20 servings. Then find how many servings one green bean plant produces by dividing the number of corn servings by two: 20 servings / 2 = 10 servings. Now multiply the number of servings per carrot plant by the number of carrot plants: 4 servings / plant * 9 plants = 36 servings. Do the same for corn: 20 servings / plant * 9 plants = 180 servings. And do the same for green beans: 10 servings / plant * 9 plants = 90 servings. Now add up the servings for all three types of plant: 36 servings + 180 servings + 90 servings = 306 servings.
###Human A baker bakes 5 loaves of bread an hour in one oven. He has 4 ovens. From Monday to Friday, he bakes for 5 hours, but on Saturday and Sunday, he only bakes for 2 hours. How many loaves of bread does the baker bake in 3 weeks?.###Assistant 1740, In an hour, the baker bakes 5 x 4 = 20 loaves of bread. From Monday to Friday, he bakes 5 x 20 = 100 loaves of bread per day. From Monday to Friday, he bakes a total of 100 x 5 = 500 loaves of bread. On Saturday and Sunday, he bakes 2 x 20 = 40 loaves of bread per day. On Saturday and Sunday, he bakes a total of 40 x 2 = 80 loaves of bread. In a week, he bakes 500 + 80 = 580 loaves of bread. In 3 weeks, he bakes 580 x 3 = 1740 loaves of bread.
###Human Bob gets paid $5 an hour for the regular hours he works and $6 an hour for any overtime hours he works. All hours over 40 in a week are considered overtime. If Bob works 44 hours in the first week and 48 hours in the second week, how much did he make?.###Assistant 472, Bob has worked 40 hours / week x 2 weeks = 80 regular hours. Bob got paid 80 hours x $5 / hour = $400 for his regular hours. Bob worked 44 hours - 40 hours = 4 hours of overtime in the first week. Bob worked 48 hours - 40 hours = 8 hours of overtime in the second week. In total Bob worker 8 hours + 4 hours = 12 hours of overtime. Bob got paid $6 / hour x 12 hours = $72 for overtime. In 2 weeks Bob earned $400 + $72 = $472.
###Human Paul lives in a 5th story apartment. He makes 3 trips out from and back to his apartment throughout the day each day of a week. How many feet does he travel vertically in total over the week if each story is 10 feet tall?.###Assistant 2100, Since Paul makes 3 trips per day, and each trip involves going both down and up, this means he travels the full vertical distance of his apartment complex 3 * 2 = 6 times a day. Since there are 7 days in a week, this means he makes this trip 6 * 7 = 42 times a week. Since each story is 10 feet tall, that means with 5 stories he travels 5 * 10 = 50 feet each trip. Since he made 42 trips of 50 feet each, this means he traveled 50 * 42 = 2100 feet in a week.
###Human Aryan owes Fernanda $1200, which is twice what Kyro owes Fernanda. Aryan decides to pay 60% of her debt to Fernanda, and Kyro pays Fernanda 80% of her dept. If Fernanda had $300 in her savings account and adds the money she's been paid by her debtors to the savings account, calculate the total amount of money in her savings account now..###Assistant 1500, Kyro owes Fernanda half of what Aryan owes Fernanda, a total of 1 / 2 * $1200 = $600. Aryan pays 60% of her dept, which equals 60 / 100 * 1200 = $720. If Fernanda adds the amount she's been paid by Aryan to her savings account, it increases to $300 + $720 = $1020. Kyro also pays her debt by 80 / 100 * $600 = $480. When Fernanda adds the amount she's been paid by Kyro to her savings account, the total amount of money in the savings account increases to $1020 + $480 = $1500.
###Human To get to work, Ryan bikes one day a week takes the bus three times a week and gets a ride from a friend once a week. It takes him thirty minutes to bike to work. The bus takes ten minutes longer since it stops at every bus stop for other passengers. His friend driving him is the fastest and cuts two-thirds off his biking time. How many minutes does he spend every week commuting to work?.###Assistant 160, The bus to Ryan’s work takes 10 minutes longer than his bike ride, so it takes 10 + 30 = 40 minutes. Ryan takes the bus 3 times a week, so the bus rides take 40 * 3 = 120 minutes a week. His friend cuts two - thirds off his biking time, which is 2 / 3 * 30 = 20 minutes a week. This means his friend takes 30 - 20 = 10 minutes to drive him. Therefore, Ryan spends 120 + 10 + 30 = 160 minutes every week commuting to work.
###Human Crystal wanted to sell everything left in her pastry class before closing for the night. She reduced her $3.00 cupcakes and her $2.00 cookies by half. How much money did she make if she sold the last 16 cupcakes and 8 cookies?.###Assistant 32, She reduced the price of the $3.00 cupcakes by half so they are now 3 / 2 = $1.50. She reduced the price of the $2.00 cookies by half so they are now 2 / 2 = $1.00. She sold 16 cupcakes at $1.50 each so she made = 16 * 1.50 = $24.00. She sold 8 cookies at $1.00 each so she made 8 * 1 = $8.00. She made $24.00 from the cupcakes and $8.00 from the cookies for a total of 24 + 8 = $32.00.
###Human Remi wants to drink more water. He has a refillable water bottle that holds 20 ounces of water. That week Remi refills the bottle 3 times a day and drinks the whole bottle each time except for twice when he accidentally spills 5 ounces the first time and 8 ounces the second time. In 7 days how many ounces of water does Remi drink?.###Assistant 407, Remi drinks the same amount of water every day for a week except for when he spills some of it. His water bottle holds 20 ounces which he drinks 3 times a day, 20 x 3 = 60 ounces a typical day. Over 7 days, without spilling anything, Remi drinks 60 ounces x 7 days = 420 ounces. Except Remi spills 8 + 5 ounces of water during the week = 13 ounces of water Remi spills. Total, Remi drinks 420 ounces - 13 ounces of spilled water = 407 ounces Remi drank during the week.
###Human Dr. Jones earns $6,000 a month. His house rental is $640 each month; his monthly food expense is $380; his electric and water bill costs 1/4 of what he makes, and his insurances cost 1/5 of what he makes. How much money does he have left after paying those four bills?.###Assistant 2280, Dr. Jones pays $6000 / 4 = $ 1500 for his electric and water bill. He pays $6000 / 5 = $1200 for his insurances. The total amount he pays for the bills and insurances is $1500 + $1200 = $2700. The remaining money from his earning after paying off the bills and insurance is $6000 - $2700 = $3300. The total amount he needs to pay for the rent and food expenses is $640 + $380 = $1020. So, Dr. Jones has $3300 - $1020 = $2280 left.
###Human A spiral notebook costs $15, and a personal planner costs $10. How much would it cost in total to buy 4 spiral notebooks and 8 personal planners at a 20% discount?.###Assistant 112, If a spiral notebook cost $15, a 20% discount would reduce the price by 20 / 100 * 15 = $3. At a 20% discount, the buying price of a spiral notebook book is $15 - $3 = $12. At the same discount, a personal planner cost would reduce by 20 / 100 * $10 = $2. The new buying price of a personal planner will be $10 - $2 = $8. To buy four spiral notebooks at a 20% discount, you'll pay 4 * $12 = $48. At the same time discount, you'll buy eight personal planners at a cost pf 8 * $8 = 64. In total, to buy eight personal planners and four spiral notebooks, you'd have to pay $64 + $48 = $112.
###Human Jenny's property tax rate is 2%. Her house is currently worth $400,000. The city is about to build a new high-speed rail project nearby, which will increase her house's value by 25%. Jenny can only afford to spend $15,000/year on property tax. How many dollars worth of improvements can she make to her house before her property tax bill gets too high?.###Assistant 250000, First find how much the rail project will increase the house value by multiplying the initial value by 25%: $400,000 * .25 = $100,000. Then add that amount to the initial value to find the new value: $100,000 + $400,000 = $500,000. Then divide the maximum amount of property tax Jenny can afford to pay by the property tax rate to find the maximum value her house can have: $15,000 / .02 = $750,000. Now subtract the house's value after the rail project from the maximum value to find how much value the improvements can have: $750,000 - $500,000 = $250,000.
###Human In five years, Grant will be 2/3 the age of the hospital that he is hired into. If Grant is currently 25 years old, how old is the hospital now?.###Assistant 40, If Grant is currently 25 years old, he will be 25 + 5 = 30 years old in five years. If 2 / 3 represents Grant's age in five years, then the fraction representing the number of years the hospital is older than Grant is 1 - 2 / 3 = 1 / 3. If 2 / 3 represents 30 years, 3 / 3, which is the fraction representing the age of the hospital, represents 3 / 3 * 30 * 3 / 2 = 45 years. Currently, the hospital is 45 - 5 = 40 years old.
###Human Derek finally gets his own allowance. He puts $2 away in January, $4 away in February, $8 away in March, $16 away in April and follows this savings pattern through to December. How much money does he have to spare and save by December?.###Assistant 4096, Derek doubles his allowance savings each month, so in May, Derek has $16 * 2 = $32. In June, Derek has $32 * 2 = $64. In July, Derek has $64 * 2 = $128. In August, Derek has $128 * 2 = $256. In September, Derek has $256 * 2 = $512. In October, Derek has $512 * 2 = $1024. In November, Derek has $1024 * 2 = $2048. By December, Derek has $2048 * 2 = $4096 to save.
###Human Annie does a survey of the sixth-grade classes to see who prefers pretzels to goldfish. In Miss Johnson's class, 1/6 of the students preferred goldfish. In Mr. Feldstein's class, 2/3rds of the students preferred goldfish. In Ms. Henderson's class, 1/5 of the students prefer goldfish. If each class has 30 students, how many people total prefer goldfish?.###Assistant 31, First find the number of students in Mr. Feldstein's class who prefer goldfish: 2 / 3 * 30 students = 20 students. Then find the number of students in Mr. Feldstein's class who prefer goldfish: 1 / 6 * 30 students = 5 students. Then find the number of students in Ms. Henderson's class who prefer goldfish: 1 / 5 * 30 students = 6 students. Then add the number of students from each class who prefer goldfish to find the total: 20 students + 5 students + 6 students = 31 students.
###Human James is trying to avoid eating too much sodium. He's making a recipe that calls for 2 teaspoons of salt and 8 oz of parmesan cheese. Salt has 50 mg of sodium per teaspoon and parmesan has 25 mg of sodium per oz. If he can't reduce the salt, how many fewer ounces of parmesan cheese does he need to use to reduce the total amount of sodium by 1/3rd?.###Assistant 4, First find how much sodium the parmesan has in total by multiply the amount of sodium per ounce by the number of oz: 25 mg / oz * 8 oz = 200 mg. Then use the same process to find how much sodium is in the salt: 50 mg / tsp * 2 tsp = 100 mg. Then find the total sodium in the recipe by adding the sodium from the cheese and the salt: 100 mg + 200 mg = 300 mg. Then multiply the total amount of sodium by 1 / 3 to find how much less sodium James wants: 300 mg * 1 / 3 = 100 mg. Then divide this amount by the amount of sodium per ounce of cheese to find how many fewer ounces of cheese he needs: 100 mg / 25 mg / oz = 4 oz.
###Human For 6 weeks in the summer, Erica treats herself to 1 ice cream cone from the ice cream truck. Monday, Wednesday and Friday she gets a $2.00 orange creamsicle. Tuesday and Thursday she gets a $1.50 ice cream sandwich. Saturday and Sunday she gets a $3.00 Nutty-Buddy. How much money does she spend on ice cream in 6 weeks?.###Assistant 90, Mon, Wed, Fri she gets a $2.00 orange creamsicle so that's 3 days * $2 / day = $6.00. Tue and Thur she gets a $1.50 ice cream sandwich so that's 2 days * $1.50 / day = $3.00. Sat and Sun she gets a $3.00 nutty - buddy so that's 2 days * $3 / day = $6.00. In one week she spends $6 + $3 + $6 = $15.00. Over 6 weeks she spends 6 weeks * $15 / week = $90.00.
###Human Mary is going on a business trip. It takes 10 minutes for her Uber to get to her house and 5 times longer to get to the airport. It takes 15 minutes to check her bag and three times as long to get through security. Then she has to wait for 20 minutes for her flight to start boarding and twice as long before the plane is ready to take off. How many hours will this process take total?.###Assistant 3, First find the time to drive to the airport: 10 minutes * 5 = 50 minutes. Then find the time it takes to get through security: 15 minutes * 3 = 45 minutes. Then find the time Mary spends waiting for the plane to take off: 20 minutes * 2 = 40 minutes. Then add the time to each step to find the total time: 10 minutes + 50 minutes + 15 minutes + 45 minutes + 20 minutes + 40 minutes = 180 minutes. Then divide that amount by the number of minutes per hour to cover the total time to hours: 180 minutes / 60 minutes / hour = 3 hours.
###Human Gloria wants to buy the $129,000 mountain cabin that her friend Alfonso is selling. She only has $150 in cash. She intends to raise the remaining amount by selling her mature trees for lumber. She has 20 cypress trees, 600 pine trees, and 24 maple trees. She will get $100 for each cypress tree, $300 for a maple tree, and $200 per pine tree. After paying Alfonso for the cabin, how much money will Gloria have left?.###Assistant 350, The cypress trees will earn Gloria 20 trees * $100 / tree = $2000. From the sale of the cypress trees, Gloria will also make 600 trees * $200 / tree = $120000. Finally, the maple trees will bring in 24 trees * $300 / tree = $7200. Combining all the amounts will give Gloria a total of $150 + $2000 + $120000 + $7200 = $129350. Subtracting the cost of the mountain cabin from the total will leave Gloria with a balance of $129350 - $129000 = $350.
###Human If Ken's house is twice as far from Dawn's house as Mary's house along a certain road, and Ken's house is 4 miles away from Dawn's house along this same road, how much distance (in miles) will Ken cover if he goes from his house to Dawn's house, then Mary's, then back to Dawn's before going back to his own house?.###Assistant 12, Ken's house is twice as far from Dawn's house as Mary's, so the distance between Ken's and Mary's is half that between Ken's and Dawn's (4 miles) which means the former is (1 / 2) * 4 miles = 2 miles. If Ken goes from his house to Dawn's, he has covered 4 miles. He goes from there to Mary's (2 miles, same as Ken's to Mary's) for a total of 4 + 2 = 6 miles. He goes back to Dawn's (another 2 miles) for a total of 6 + 2 = 8 miles. Then he goes to his own house (4 miles) for a final total of 8 + 4 = 12 miles.
###Human Noah’s bedroom light uses 6 watts per hour. His office light is much brighter so he can see to work and uses three times as much energy. The living room light has a much larger space to cover and has to be more powerful, so it uses four times as much energy as his bedroom light. If Noah leaves all those lights on for two hours, how many watts has he used?.###Assistant 96, Noah’s bedroom light uses 6 watts per hour, so it would use 2 * 6 = 12 watts in two hours. His office light uses 3 times as many watts as his bedroom light, so it uses 3 * 6 = 18 watts per hour. In two hours, the office light would use 18 * 2 = 36 watts. The living room light uses 4 times as many watts as his bedroom light, so it uses 4 * 6 = 24 watts per hour. In two hours, the living room light would use 24 * 2 = 48 watts. Thus, if Noah leaves all those lights on for two hours, he has used 12 + 36 + 48 = 96 watts.
###Human Michael is stuck in an elevator that is slowly moving to the bottom floor. The elevator needs to move down 20 floors to reach the bottom. It takes 15 minutes for the elevator to travel down the first half of the floors. The elevator then takes 5 minutes per floor to travel down the next 5 floors. It then takes 16 minutes per floor for the elevator to finish traveling down the final 5 floors. In hours, how long did it take for the elevator to reach the bottom?.###Assistant 2, Over 5 of the floors, it takes the elevator 5 floors * 5 minutes per floor = 25 minutes to lower. Over the final 5 floors, it takes the elevator 5 floors * 16 minutes per floor = 80 minutes to lower. So in total, the elevator takes 15 minutes in the first half + 25 minutes in the next five floors + 80 minutes in the final five floors = 120 minutes to lower to the bottom. This is the same as 120 minutes / 60 minutes per hour = 2 hours.
###Human Mark went to a store where he spent one-half of his money, and then spent $14 more. He then went to another store where he spent one-third of his starting money, and then spent $16 more. If he then had no money left, how much did he have when he entered the first store?.###Assistant 180, Let X be the money Mark had. Mark spent 1 / 2 * X + 14 in the first store and 1 / 3 * X + 16 in the second store. Mark has X - 1 / 2 * X - 14 - 1 / 3 * X - 16 = $0 left. Combining like terms, we get 1 / 6 * X - 30 = $0. Adding 30 to both sides and multiplying both sides by 6, we find that Mark had X = $180 when he entered the first store.
###Human The total average age of three friends is 40. Jared is ten years older than Hakimi, and Molly's age is 30. How old is Hakimi?.###Assistant 40, The total age for the three friends is 40 * 3 = 120. If Molly's age is 30, then Jared and Hakimi have a total age of 120 - 30 = 90. Let's say the age of Hakimi is x. Since Jared is 10 years older than Hakimi, Jared is x + 10 years old. Jared and Hakimi's total age is x + (x + 10) = 90. This translates to 2x = 90 - 10. 2x = 80. Hakimi's age is x = 80 / 2. This gives us x = 40, which is Hamkimi's age.
###Human Martin rings the small bell 4 times more than 1/3 as often as the big bell. If he rings both of them a combined total of 52 times, how many times does he ring the big bell?.###Assistant 36, Let s be the number of times the small bell rings, and b be the number of times the big bell rings. We know that s + b = 52 and s = 4 + 1 / 3b. Substituting the second equation into the first equation, we get 4 + 1 / 3b + b = 52. Subtracting 4 from both sides, we get 1 / 3b + b = 48. Combining like terms, we get 4 / 3b = 48. Dividing both sides of the equation by 4 / 3, we get b = 36.
###Human Walmart sells a multitool with a screwdriver, 3 knives, and two other tools. Target sells a multitool with a screwdriver, twice as many knives as Walmart, three files and a pair of scissors. How many more tools does the Target multitool have compared to Walmart?.###Assistant 5, First find the total number of tools in the Walmart multitool: 1 tool + 3 tools + 2 tools = 6 tools. Then find the total number of knives in the Target multitool: 3 knives * 2 = 6 knives. Then find the total number of tools in the Target multitool: 1 tool + 6 tools + 3 tools + 1 tool = 11 tools. Then subtract the number of tools in the Walmart multitool from the number in the Target multitool to find the difference: 11 tools - 6 tools = 5 tools.
###Human The lunchroom is full of students: 40% are girls and the remainder are boys. There are 2 monitors for every 15 students. There are 8 monitors. Every boy drinks, on average, 1 carton of milk, and every girl drinks, on average, 2 cartons of milk. How many total cartons of milk are consumed by the students in the lunchroom?.###Assistant 168, There is 1 monitor for every fifteen students because 30 / 2 = 15. There are 120 students because 8 x 15 = 120. 60% of the lunchroom is boys because 100 - 40 = 60. There are 72 boys because 120 x .6 = 72. There are 48 girls because 120 x .4 = 48. The boys drink 72 cartons of milk because 72 x 1 = 72. The girls drink 96 cartons of milk because 48 x 2 = 96. They drink 168 cartons of milk because 72 + 96 = 168.
###Human Chrystal’s vehicle speed is 30 miles per hour. Ascending the mountain decreases its speed by fifty percent, and descending the mountain increases its speed by twenty percent. If the distance going to the top of the mountain is 60 miles and the distance going down to the foot of the mountain is 72 miles, how many hours will Crystal have to pass the whole mountain?.###Assistant 6, The vehicle's speed decreases to 30 x 0.50 = 15 miles per hour when ascending to the top of the mountain. So, the total time Crystal will have to spend going to the top of the mountain is 60 / 15 = 4 hours. And the speed of the vehicle increases by 30 x 0.20 = 6 miles per hour when going down to the foot of the mountain. So, the total speed of the vehicle when going down is 30 + 6 = 36 miles per hour. Thus, Chrystal will have to spend 72 / 36 = 2 hours to descend from the mountain. Therefore, the total hours she will spend to pass the whole mountain is 4 + 2 = 6 hours.
###Human Jerry wakes up one morning and finds the thermostat set to 40 degrees. He set it to double the initial temperature. His dad notices, yells at Jerry, and reducing the temperature by 30 degrees. Later, Jerry's mother reduces the temperature by 30%, before his sister increases it by 24 degrees. What's the final temperature?.###Assistant 59, First double the initial temperature: 40 degrees * 2 = 80 degrees. Then reduce that amount by 30 to reflect the dad's change: 80 degrees - 30 degrees = 50 degrees. Then multiply that number by 30% to find how much Jerry's mother reduces the temperature: 50 degrees * .3 = 15 degrees. Now subtract 15 degrees from 50 degrees to find the temperature after the mother's change: 50 degrees - 15 degrees = 35 degrees. Finally, add 24 degrees to find the final temperature: 35 degrees + 24 degrees = 59 degrees.
###Human Bob wants to build a pyramid out of legos with 3 levels where the bottom level has 7 legos per side and each level has one less lego per side than the level below it. How many legos total will he need?.###Assistant 110, First find the total number of legos on the bottom layer: 7 legos * 7 legos = 49 legos. Then find the number of legos per side on the next layer: 7 legos - 1 lego = 6 legos. Then find the total number of legos on the second level: 6 legos * 6 legos = 36 legos. Then find the number of legos per side on the top level: 6 legos - 1 lego = 5 legos. Then find the total number of legos on the top level: 5 legos * 5 legos = 25 legos. Then add the number of legos on each level to find the total number of legos: 49 legos + 36 legos + 25 legos = 110 legos.
###Human Carly is making burgers for a neighborhood BBQ. Each burger needs to be cooked for 4 minutes on each side. Carly can fit 5 burgers on the grill at once. If half her 30 guests want 2 burgers and the other half each want 1, how long will it take Carly to cook all the burgers?.###Assistant 72, First find half the number of guests at Carly's party: 30 guests / 2 = 15 guests. Then multiply that number by 2 for the number of burgers half the guests want: 15 guests * 2 burgers / guest = 30 burgers. Then add the 15 burgers for the 15 guests who only want 1 to find the total number of burgers: 30 burgers + 15 burgers = 45 burgers. Then divide the total number of burgers by the number of burgers Carly can cook at once to find the number of batches she cooks: 45 burgers / 5 burgers / batch = 9 batches. Then multiply the number of sides per burger by the cooking time per side to find each burger's total cook time: 4 minutes / side * 2 sides = 8 minutes. Finally, multiply each batch's cook time by the number of batches to find the total cook time: 8 minutes / batch * 9 batches = 72 minutes.
###Human Bill is trying to decide whether to make blueberry muffins or raspberry muffins. Blueberries cost $5.00 per 6 ounce carton and raspberries cost $3.00 per 8 ounce carton. If Bill is going to make 4 batches of muffins, and each batch takes 12 ounces of fruit, how much money would he save by using raspberries instead of blueberries?.###Assistant 22, First find how many ounces of fruit Bill will need total: 12 ounces / batch * 4 batches = 48 ounces. Then find how many cartons of blueberries Bill would need: 48 ounces / 6 ounces / carton = 8 cartons. Then multiply that number by the cost per carton to find the total cost of the blueberries: 8 cartons * $5 / carton = $40. Then find how many cartons of raspberries Bill would need: 48 ounces / 8 ounces / carton = 6 cartons. Then multiply that number by the cost per carton to find the total cost of the raspberries: 6 cartons * $3 / carton = $18. Then subtract the cost of the raspberries from the cost of the blueberries to find the difference: $40 - $18 = $22.
###Human Emily went to the store and bought art supplies for $20 and 2 skirts that cost the same amount of money. She spent a total of $50. How much did Emily pay for each of the skirts?.###Assistant 15, First, you need to set up the problem with the information given. The cost of the skirts and art supplies must equal $50. Since we know that the cost of the skirts is the same price and that she bought art supplies for $20, we can set up an equation: 2x + 20 = 50, with x being the cost of the skirts. To solve the equation, subtract 20 from both sides, to give you the new equation: 2x = 30. Solve for x by dividing both sides of the equation by 2, 2x / 2 = 30 / 2 gives you x = 15. Therefore, each skirt cost $15.
###Human The country of Belize had a 5 lane bridge that had 2000 vehicles passing through it every month. They decided to build a new bridge that had twice the capacity of the old one, and the number of vehicles passing through the new one increased by 60% more than the old bridge. If the bridges work concurrently for a year, calculate the total number of vehicles that pass through the two bridges..###Assistant 62400, In a year with 12 months, the total number of vehicles passing through the old bridge is 2000 * 12 = 24000. The new bridge has a capacity of 60 / 100 * 2000 = 1200 more vehicles passing through it in a month than the old one. The total number of vehicles passing through the new bridge in a month is 2000 + 1200 = 3200. There are 3200 * 12 = 38400 vehicles passing through the new bridge in a year. Altogether, the two bridges have 38400 + 24000 = 62400 vehicles passing through them in a year.
###Human Travis is hired to take 638 bowls from the factory to the home goods store. The home goods store will pay the moving company a $100 fee, plus $3 for every bowl that is delivered safely. Travis must pay the home goods store $4 each for any bowls that are lost or broken. If 12 bowls are lost, 15 bowls are broken, and the rest are delivered safely, how much should Travis be paid?.###Assistant 1825, Travis has lost or broken 12 + 15 = 27 bowls. Travis will need to pay the store 27 x $4 = $108 dollars. Travis has safely taken 638 - 27 = 611 bowls. For this, he will be paid 611 x $3 = $1833 dollars. In total Travis will be paid $1833 + $100 = $1933 dollars. Since Travis has to pay the home goods 108 for the broken and lost bowls, he will end up with $1933 - $108 = $1825.
###Human Carla has 6 sunflowers and 8 dandelions. The sunflowers have 9 seeds per plant and the dandelions have 12 seeds per plant. What percentage of Carla's seeds come from the dandelions?.###Assistant 64, First calculate the number of seeds from the sunflowers by multiplying the number of sunflowers by the number of seeds per sunflower: 6 sunflowers * 9 seeds / sunflower = 54 seeds. Next calculate the number of seeds from the dandelions by multiplying the number of dandelions by the number of seeds per dandelion: 8 dandelions * 12 seeds / dandelion = 96 seeds. Now add the number of seeds from each group of plants to find the total number of seeds: 54 seeds + 96 seeds = 150 seeds. Now divide the number of dandelion seeds by the total number of seeds and multiply the answer by 100 to find the percentage of seeds that come from the dandelions: 96 seeds / 150 seeds * 100% = 64%.
###Human There are 20 sandcastles on Mark's beach, each with 10 towers. On Jeff's beach, there are three times as many castles as on Mark's beach, each with 5 towers. What is the combined total number of sandcastles and towers on Mark's and Jeff's beaches?.###Assistant 580, The total number of towers at Mark's beach is 20 * 10 = 200 towers. There are 200 + 20 = 220 sandcastles and towers on Mark's beach. Jeff's beach has 3 * 20 = 60 sandcastles, three times as many as the number of sandcastles in Mark's beach. The number of towers in each of the sandcastles on Jeff's beach is 1 / 2 * 10 = 5. Since each sandcastle has 5 towers on Jeff's beach, there are 5 * 60 = 300 towers. In total, on Jeff's beach, there are 300 + 60 = 360 towers and sandcastles. Altogether, 360 + 220 = 580 sandcastles and towers can be found on their beaches.
###Human Mr. Roper cuts his lawn 15 days a month beginning in April and ending in September. From October to the end of March he cuts his lawn three times a month. What is the average number of times that Mr. Roper cuts his yard per month?.###Assistant 9, For 6 months of the year he cuts his yard 15 days per month so he cuts his yard 6 * 15 = 90 times. For the remaining 6 months of the year, he cuts his yard three times a month so he cuts his yard 6 * 3 = 18 times. He cuts his yard 90 times for part of the year and 18 times for the rest of the year for a total of 90 + 18 = 108 times. There are 12 months in a year and he cuts his yard 108 times so he averages 108 / 12 = 9 times per month.
###Human Carter has a jar with 20 green M&Ms and 20 red M&Ms. He eats 12 of the green M&Ms, then his sister comes and eats half the red M&Ms and adds 14 yellow M&Ms. If Carter picks an M&M at random now, what is the percentage chance he'll get a green M&M?.###Assistant 25, First find the final number of green M&Ms by subtracting 12 from the starting number: 20 M&Ms - 12 M&Ms = 8 green M&Ms. Then find the final number of red M&Ms by dividing the starting number by half: 20 M&Ms / 2 = 10 red M&Ms. Then find the total number of M&Ms at the end by adding the number of red, green and yellow M&Ms: 8 M&Ms + 10 M&Ms + 14 M&Ms = 32 M&Ms. Then divide the number of green M&Ms by the total number of M&Ms and multiply by 100 to find the percentage chance Carter gets a green M&M: 8 M&Ms / 32 M&Ms * 100 = 25%.
###Human Caden has four jars of coins. One jar of pennies, one jar of nickels, one jar of dimes and one jar of quarters. He has twice as many quarters as he does dimes. He has five times as many nickels as he does dimes. He has three times as many pennies as he does nickels. If he has 120 pennies, how much money does he have?.###Assistant 8, Starting with 120 pennies he has $1.20. If he has three times as many pennies as he does nickels, he has 120 pennies / 3 nickels per penny = 40 nickels. 40 nickels = 40 * $0.05 = $2. If he has five times as many nickels as dimes he has 40 nickels / 5 dimes per nickel = 8 dimes. 8 * $0.10 = $0.80. if he has twice as many quarters than he does dimes, he has 8 dimes * 2 quarters per dime = 16 quarters = 16 * $ 0.25 = $4.00. In all he has $1.20 + $2.00 + $0.80 + $4.00 = $8.00.
###Human Gina can paint six cups an hour with roses and 7 cups an hour with lilies. Her Etsy store gets an order for 6 rose cups and 14 lily cups. If Gina gets paid $90 total for the order, how much does she make per hour?.###Assistant 30, First find the total time to paint the rose cups: 6 cups / 6 cups / hour = 1 hour. Then find the total time to paint the lily cups: 14 cups / 7 cups / hour = 2 hours. Then add the painting time for each type of cup to find the total painting time: 1 hour + 2 hours = 3 hours. Then divide Gina's total earnings by the number of hours she works to find her hourly wage: $90 / 3 hours = $30 / hour.
###Human There are three dogs in the backyard. They like apples, blueberries, and bonnies. The first dog, which likes apples, eats 3 times as many apples as the number of blueberries eaten by the second dog that likes blueberries. The dog that likes blueberries eats 3/4 times as many blueberries as the number of bonnies eaten by the third dog. If the dog that likes bonnies ate 60 of them, calculate the total number of fruits eaten by the three dogs?.###Assistant 240, The dog that likes blueberries ate 3 / 4 * 60 = 45 blueberries, 3 / 4 as many blueberries as the number of bonnies eaten by the third dog. The total number of fruits eaten by the dog that likes bonnies and the one that like blueberries is 45 + 60 = 105. The first dog that likes apples ate 3 * 45 = 135 apples which are 3 times as many blueberries as the number eaten by the dog that likes blueberries. In total, the three dogs ate 105 + 135 = 240 fruits.
###Human There were students from three different schools taking part in a debate organized by the town's mayor on a stage. The first school had twice as many students as the second school, and the second school had 40 more students than the third school. If the third school had 200 students, and after the debate was over, every student shook the mayor's hand, calculate the total number of students who shook the mayor's hand on the stage..###Assistant 920, If the third school had 200 students, and the second school had 40 more students than the third school, the second school had 200 + 40 = 240 students. The third and second schools had 240 + 200 = 440 students on stage taking part in the debate. Since the first school had twice as many students as the second school, and the second school had 240 students, the first school had 240 * 2 = 480 students on stage taking part in the debate. If after the debate was over, every student at the stage shook the mayor's hand, the number of students who shook the mayor's hand is 480 + 440 = 920 students.
###Human Jill sells girl scout cookies. This year, she wants to sell at least 150 cookie boxes. Her first customer buys 5 boxes, Her second one buys 4 times more than her first customer. Her third customer buys half as much as her second. The fourth customer buys 3 times as much as her third. Lastly, her final customer buys 10. How many boxes so Jill have left to sell to hit her sales goal?.###Assistant 75, Jill's second customer buys 4 times more than her first customer's 5 boxes, so they buy 4 * 5 = 20 boxes. Jill's third customer buys half of what her second customer bought, so that means they buy 20 / 2 = 10 boxes. Jill's fourth customer buys 3 times as many as what her third customer bought, so that means they buy 10 * 3 = 30 boxes. Adding in the 5 boxes sold to the first customer, and the 10 boxes sold to the last one, that means Jill has sold 5 + 10 + 20 + 10 + 30 = 75 boxes. Since Jill's goal is 150 boxes sold, and she's only sold 75 so far, she needs to sell 150 - 75 = 75 more boxes to hit her goal.
###Human Jason is trying to figure out whether he can afford a new car. The car he wants costs $32,000, and he can make a down payment of $8,000. He'll have to get a loan for the rest of the amount and make 48 equal monthly payments on it. Each month, he also has to pay interest equal to 5% of that month's payment. How much will Jason's monthly payments be?.###Assistant 525, First figure out how much the loan will be: $32,000 - $8,000 = $24,000. Then divide the loan amount by the number of payments to find the monthly payment before interest: $24,000 / 48 months = $500 / month. Then multiply the loan amount by 5% to find out how much the interest is: $500 / month * .05 = $25 / month. Then add the interest to the payment amount to find the total monthly payment: $500 / month + $25 / month = $525 / month.
###Human Since Jason started investing, he has earned the same amount he invested twice over in 5 months. If Jason's investment currently is worth $90, how much has he been earning per month from his investment assuming he has been earning an equal amount of returns each month?.###Assistant 12, Let's say Jason invested x amount of money. Since Jason started investing, he has earned the same amount he invested twice over in 5 months, meaning he has earned x + 2 * x = $90. This evaluates to 3x = $90. The total amount of money that Jason invested is x = $90 / 3. Jason invested x = $30. The total amount of money that Jason has earned from his investments is $90 - $30 = $60. If he earned an equal amount of money from the investment in five months, his monthly returns is 60 / 5 = $12.
###Human Peter needs to buy birdseed to last a week. He knows that each parakeet eats 2 grams a day. His parrots eat 14 grams a day. His finches eat half of what a parakeet eats. If he has 3 parakeets, 2 parrots and 4 finches, how many grams of birdseed does he need to buy?.###Assistant 266, His parakeets eat 6 grams a day, because three parakeets times two grams each equals 6 grams. His parrots will eat 28 grams a day because two parrots times 14 grams equals 28 grams. Each finch will eat 1 gram a day, because they eat half of what a parakeet does and 1 / 2 of 2 equals one. His finches will eat 4 grams a day because four finches times 1 gram equals 4 grams. His birds eat 38 grams a day because 6 plus 28 plus 4 equals 38. Each week has 7 days. Therefore, in a week he will need 266 grams because 7 times 38 equals 266.
###Human Jason spent 1/4 of his money and an additional $10 on some books. He then spent 2/5 of the remaining money and an additional $8 on some DVDs. If he was left with $130, how much money did he have at first?.###Assistant 320, Let X be the money Jason had at first. Jason spent 1 / 4 * X + 10 on books. Jason spent 2 / 5 * [X - (1 / 4 * X + 10)] + 8 on some DVDs. Jason has X - (1 / 4 * X + 10) - {2 / 5 * [X - (1 / 4 * X + 10)] + 8} = $130 left. X - 1 / 4 * X - 10 - 2 / 5 * X + 1 / 10 * X + 4 - 8 = $130. 9 / 20 * X - 14 = $130. X = $320.
###Human A chocolate box contains 200 bars. Thomas and his 4 friends take 1/4 of the bars and decide to divide them equally between them. One of Thomas's friends doesn't like chocolate bars very much and returns 5 of his bars to the box. Later, his sister Piper comes home and takes 5 fewer bars than those taken in total by Thomas and his friends so she can also share with her friends. What's the total number of bars left in the box?.###Assistant 110, Thomas and his friends took 1 / 4 * 200 = 50 bars. The total number of bars left in the box was 200 - 50 = 150 bars. Since there are five of them sharing, each of them got 50 / 5 = 10 bars. After a friend returned 5 bars, there were 150 + 5 = 155 bars in the box. Piper took five fewer bars, that is 50 - 5 = 45 bars. The total remaining bars left in the box is 155 - 45 = 110 bars.
###Human If I give my brother 2 marbles I will have double his number of marbles, but my friend will have triple the number I do. The total number of marbles we have together is 63. How many marbles do I have?.###Assistant 16, Let X be the number of marbles I have. If I give my brother 2 marbles, I'll have X - 2 marbles left. And my brother will have (X - 2) / 2 marbles. And my friend will have (X - 2) * 3 left. So the total number of marbles is X - 2 + (X - 2) / 2 + (X - 2) * 3 = 63. (X - 2) * 9 / 2 = 63. X - 2 = 14. X = 16 marbles.
###Human Brian is taping up some boxes. Each box needs three pieces of tape, one as long as the long side and two as long as the short side. If Brian tapes up 5 boxes that measure 15 inches by 30 inches and 2 boxes that measure 40 inches square, how much tape does he need?.###Assistant 540, First find the amount of tape each 15 in x 30 in box needs on the short sides: 2 sides * 15 inches / side = 30 inches. Then add that to the amount of tape each 15 in x 30 in box needs on the long side to find the total amount needed per box: 30 inches + 30 inches = 60 inches. Then multiply that amount by 5 boxes to find the total amount needed: 60 inches / box * 5 boxes = 300 inches. Then find the amount of tape each 40 in x 40 in box needs for its three equal length sides: 3 sides * 40 inches / side = 120 inches. Then multiply that amount by 2 boxes to find the total amount needed: 120 inches / box * 2 boxes = 240 inches. Then add the total amount needed for each box size to find the grand total: 240 inches + 300 inches = 540 inches.
###Human Bill is laying power cable for a new neighborhood. There are going to be 18 east-west streets that are 2 miles long and 10 north-south streets that are four miles long. It takes 5 miles of cable to electrify 1 mile of street. If cable costs $2000/mile, what is the total cost of cable for the neighborhood?.###Assistant 760000, First find the total distance of the east - west streets: 18 streets * 2 miles / street = 36 miles. Then find the total distance of the north - south streets: 10 streets * 4 miles / street = 40 miles. Then add the number of miles from each type of street to find the total distance: 36 miles + 40 miles = 76 miles. Then multiply that number by 5 to find the number of miles of cable needed: 76 miles street * 5 miles cable / mile street = 380 miles of cable. Then multiply that number by the cost of one mile of cable to find the total cost: 380 miles * $2000 / mile = $760,000.
###Human Mrs. Brynlee reduced the prices of items in her store by 20% after the local government gave small businesses in her county a subsidy. If the price of a shirt in the store was $60 and that of the leather jacket was $90, calculate the amount of money Teagan will pay for buying 5 shirts and 10 leather jackets at the reduced prices..###Assistant 960, If the price of a shirt in the store was $60, its price was reduced by 20 / 100 * $60 = $12. The price of a shirt was reduced to $60 - $12 = $48. Teagan will pay $48 * 5 = $240 for buying 5 shirts. If the initial price of the leather jacket was $90, the price reduced by 20 / 100 * $90 = $18. The final leather jacket after Mrs. Brynlee reduced the price by 20% is $90 - $18 = $72. Teagan will pay $72 * 10 = $720 for buying 10 leather jackets. The amount of money Teagan paid to Mrs. Brynlee for the shirts and the leather jackets is $720 + $240 = $960.
###Human Chandra is going on a monster hunt. After a big storm, there have been lost monsters all around the castle grounds for the last 5 days. Chandra wants to rope them all up and return them to the swamps where they will be the most comfortable. On the first day she saw 2 monsters near the castle walls. Every day after that she saw double the amount as the day before. After 5 days how many monsters does she need to lead back to the swamps?.###Assistant 62, On the first day Chandra saw 2 monsters and on day 2 she saw twice that amount, 2 x 2 = 4 monsters seen on day 2. On day 3 she saw double that amount of monsters, 4 x 2 = 8. On day 4 she saw double that amount of monsters, 8 x 2 = 16. On day 5 she saw double that amount of monsters, 16 x 2 = 32. Altogether Chandra saw 2 + 4 + 8 + 16 + 32 lost monsters = 62 total lost monsters that Chandra needs to lead back to the swamps.
###Human Vermont opened up 4 web pages on his web browser and found 12 ads on the first web page and twice as many ads on the second web page as the first web page. When he opened the third web page, he found 24 more ads than the number of ads on the second web page. If the fourth web page had 3/4 times as many ads as the second web page, calculate the total number of ads Vermont clicked on if he clicked on 2/3 of them..###Assistant 68, If Vermont found 12 ads on the first web page and twice as many ads on the second web page as the first web page, he found 12 * 2 = 24 ads on the second web page. The first and the second web page had a total of 12 + 24 = 36. Vermont also found 24 more ads on the third web page than the second web page, a total of 24 + 24 = 48 ads. The first three web pages had 48 + 36 = 84 ads. The fourth web page had 3 / 4 times as many ads as the second web page, a total of 3 / 4 * 24 = 18 ads. In all the web pages Vermont opened, he found 84 + 18 = 102 ads. If he clicked on 2 / 3 of them, he clicked on 2 / 3 * 102 = 68 ads.
###Human Milly's babysitter charges $16/hour. Milly is considering switching to a new babysitter who charges $12/hour, but also charges an extra $3 for each time the kids scream at her. If Milly usually hires the babysitter for 6 hours, and her kids usually scream twice per babysitting gig, how much less will the new babysitter cost?.###Assistant 18, First figure out how much the first babysitter costs by multiplying her hourly rate by the number of hours she works: $16 / hour * 6 hours = $96. Then use the same method to figure out how much the second babysitter charges before any screaming: $12 / hour * 6 hours = $72. Then figure out how much the babysitter charges for two screams: 2 screams * $3 / scream = $6. Finally, subtract the second babysitter's two charges from the first babysitter's total charge to find the difference: $96 - $72 - $6 = $18.
###Human The cost of transporting 80 bags of cement, each weighing 50 kgs, is $6000. What's the cost of transporting three times as many cement bags, each weighing 3/5 times as many kgs?.###Assistant 10800, Three times as many cement bags is 3 * 80 = 240 cement bags. If a bag of cement weighs 50 kg, 3 / 5 times as much weight is 3 / 5 * 50 = 30 kgs. If the cost of transporting 80 bags of cement, each weighing 50 kgs, is $6000, the cost of transporting one bag of cement weighing 50 kg is $6000 / 80 = $75. Since a bag weighing 50 kgs costs $75 to transport, a bag weighing 30 kgs will cost 30 * $75 / 50 = $45 to transport. The cost of transporting 240 cement bags each weighing 30 kgs is $45 * 240 = $10800.
###Human Jason's dog has a tail that's half the length of its body, and a head that's 1/6 the length of its body. If the dog is 30 inches long overall, how long is its tail?.###Assistant 9, If b is the length of the body, h is the length of the head, and t is the length of the tail, we know that b + h + t = 30, h = b / 6 and t = b / 2. We can substitute the second two equations into the first equation to get b + b / 6 + b / 2 = 30. Now multiply both sides of this equation by 6: 6b + b + 3b = 180. Now combine like terms: 10b = 180. Now divide both sides by 10: b = 180. The dog's body is 18 inches long. Now divide that length by 2 to find the length of its tail: 18 inches / 2 = 9 inches.
###Human Nancy carves statues out of jade. A giraffe statue takes 120 grams of jade and sells for $150. An elephant statue takes twice as much jade and sells for $350. If Nancy has 1920 grams of jade, how much more money will she make turning it all into elephants instead of giraffes?.###Assistant 400, First find how many giraffe statues Nancy can make by dividing the total amount of jade by the amount used per giraffe statue: 1920 g / 120 g / giraffe = 16 giraffes. Then multiply that number by the price per giraffe to find how much Nancy earns total from giraffes: 16 giraffes * $150 / giraffe = $2400. Then find how much jade each elephant statue uses by doubling the jade used by the giraffe statues: 120 g / giraffe * 2 = 240 g / elephant. Then find how many elephant statues Nancy can make by dividing the total amount of jade by the amount used per elephant statue: 1920 g / 240 g / elephant = 8 elephant. Multiply that number by the price per elephant to find Nancy's total earnings from elephants: 8 elephants * $350 / elephant = $2800. Finally, subtract Nancy's total earnings from the giraffes from her total earnings from the elephants to find the difference: $2800 - $2400 = $400.
###Human Lucca bought 200 pieces of bread. Lucca ate 1/4 of the pieces of bread in one day, and 2/5 of the remaining pieces the next day. If he ate half of the remaining pieces on the third day, calculate how many pieces of bread are remaining..###Assistant 45, On the first day, Lucca ate 1 / 4 * 200 = 50 pieces. The number of pieces remaining after the first day is 200 - 50 = 150. On the second day, Lucca ate 2 / 5 * 150 = 60 pieces of bread. The pieces of bread that remained after the second day is 150 - 60 = 90. If Lucca ate half of the remaining pieces of bread on the third day, he ate 1 / 2 * 90 = 45 pieces. The pieces of bread that are remaining after the third day are 90 - 45 = 45.
###Human James has a small tree outside his window with 30 branches with 90 twigs per branch. 30% of the twigs sprout 4 leaves and the rest sprout 5 leaves. How many leaves are on the tree total?.###Assistant 12690, First find the total number of twigs on the tree: 30 branches * 90 twigs / branch = 2700 twigs. Then multiply that number by 30% to find how many twigs have 4 leaves: 2700 twigs * 30% = 810 twigs. Then subtract that number from the total number of twigs to find how many have 5 leaves: 2700 twigs - 810 twigs = 1890 twigs. Then multiply that number by 5 to find the number of leaves on the 5 - leaved twigs: 1890 twigs * 5 leaves / twig = 9450 leaves. Then multiply the number of 4 - leaved twigs by 4 to find the total number of leaves they have: 810 twigs * 4 leaves / twig = 3240 leaves. Then add the two groups of leaves to find the total number of leaves: 9450 leaves + 3240 leaves = 12690 leaves.
###Human There are 180 students in ninth grade. 1/4 of them bombed their finals because they were going through difficult breakups. 1/3rd of the rest didn't show up to take the test, and another 20 got less than a D. How many students passed their finals?.###Assistant 70, First find the number of students who went through breakups: 1 / 4 * 180 = 45 students. Then subtract that number from the total number: 180 students - 45 students = 135 students. Then divide that number by 3 to find the number of students who didn't show up to take the test: 135 students / 3 = 45 students. Then subtract the number of students who failed in each way from the total number to find the number who passed: 180 students - 45 students - 45 students - 20 students = 70 students.
###Human Mr Castiel prepared 600 boar sausages on the weekend. He ate 2/5 of them on Monday, half of the remaining on Tuesday and saved the rest for Friday. If he ate 3/4 of the remaining boar sausages on Friday, how many sausages are left?.###Assistant 45, On Monday, Mr Castiel ate 2 / 5 * 600 = 240 sausages. The remaining number of sausages after he ate 240 on Monday is 600 - 240 = 360. On Tuesday, he ate half of the remaining sausages, a total of 360 / 2 = 180. The remaining number of sausages that he saved for Friday after eating 180 on Tuesday is 360 - 180 = 180. On Friday, Mr Castiel ate 3 / 4 * 180 = 135 of the sausages he had kept. The remaining number of sausages after he ate 135 on Friday is 180 - 135 = 45.
###Human Martha buys 1 latte for $4.00 every morning, 5 days a week. 3 days a week, she buys an iced coffee for $2.00. Her goal for the entire year is to cut her coffee spending by 25%. How much will she save?.###Assistant 338, She buys a $4.00 latte in the morning for 5 days so that’s 4 * 5 = $20.00. She buys a $2.00 iced coffee 3 days a week so that’s 2 * 3 = $6.00. In one week she spends $20.00 on lattes and $6.00 on iced coffee for a total of 20 + 6 = $26.00. After 1 year, 52 weeks, she spends 52 * 26 = $1,352.00. She wants to cut her coffee spending by 25% so that will save her .25 * 1352 = $338.00.
###Human Andy gets a cavity for every 4 candy canes he eats. He gets 2 candy canes from his parents and 3 candy canes each from 4 teachers. Then he uses his allowance to buy 1/7 as many candy canes as he was given. How many cavities does he get from eating all his candy canes?.###Assistant 16, First find how many candy canes Andy gets from his teachers: 3 canes / teacher * 4 teachers = 12 canes. Then add the number of candy canes he gets from his parents: 12 canes + 2 canes = 14 canes. Then divide that number by 7 to find the number of canes he buys: 14 canes / 7 = 2 canes. Then add the number of candy canes he gets from each source to find the total number: 2 canes + 14 canes = 16 canes. Then divide the total number of candy canes by the number of candy canes it takes to get one cavity to find the number of cavities Andy gets: 16 canes / 4 canes / cavity = 4 cavities.
###Human John has a very inefficient toilet that uses 5 gallons of water per flush and his household flushed 15 times per day. He replaced it with a toilet that uses 80% less water per flush. How much water did John save in June?.###Assistant 1800, He used to use 5 * 15 = 75 gallons of water per day. This means he used 75 * 30 = 2250 gallons a month. His new toilet uses 5 * .8 = 4 gallons less water per flush. So, it only uses 5 - 4 = 1 gallon per flush. That means he uses 1 * 15 = 15 gallons per day. All in all, it accounts for a total usage of 15 * 30 = 450 gallons. So, he saved 2250 - 450 = 1800 gallons per month.
###Human There's a Bobbit worm hiding in the bottom of James' aquarium. Every day it eats 2 fish. After two weeks, James adds 8 more fish to the aquarium. A week later, he discovers the Bobbit worm. If the aquarium had 60 fish to start with, how many does it have when James discovers the Bobbit worm?.###Assistant 26, First find the total number of weeks the Bobbit worm preys on the fish: 2 weeks + 1 week = 3 weeks. Then multiply that number by the number of days per week: 3 weeks * 7 days / week = 21 days. Then multiply that number by the number of fish the worm eats per day to find how many fish it eats total: 21 days * 2 fish / day = 42 fish. Then add the number of fish James adds to the starting number of fish to find the ending number of fish: 60 fish + 8 fish = 68 fish. Then subtract the number of eaten fish to find the number of surviving fish: 68 fish - 42 fish = 26 fish.
###Human Antonella has ten Canadian coins in her purse that are either loonies or toonies. A loonie equals $1 and a toonie equals $2. If she bought a $3 Frappuccino and still has $11, how many toonies did she initially have?.###Assistant 4, If Antonella spent $3 and now has $11, that means initially she had $3 + $11 = $14. Let the number of loonies Antonella had be L and the number of toonies be T. Initially she had in her purse a total of 1L + 2T = $14. We also know that she had 10 coins in total or 10 = L + T. That means initially she had T = 10 - L toonies. Combining both equations we know that 14 = 1L + 2 * (10 - L). If we multiply through the parentheses, we get 14 = 1L + 20 - 2L. If we combine the variables on one side and the constants on another, we get - 6 = - 1L or L = 6. Knowing the value of L, we can solve for T = 10 - L = 10 - 6 = 4.
###Human Jason is hiring two construction workers, one electrician and one plumber. If the construction workers each make $100/day, the electrician makes double what a worker is paid and the plumber makes 250% of a worker's salary, how much are the overall labor costs for one day?.###Assistant 650, First find how much the electrician earns per day: $100 / day * 2 = $200 / day. Then find how much the plumber earns per day: $100 / day * 250% = $250 / day. Then find how much both workers pay together: $100 / day / worker * 2 workers = $200 / day. Then add the cost of each worker to find the total labor cost per day: $200 / day + $250 / day + $200 / day = $650 / day.
###Human Flynn watches 30 minutes of tv every night during the weekdays. On the weekends, she watches an additional 2 hours of TV in total. How many hours of tv does she watch in 52 weeks?.###Assistant 234, She watches 30 minutes of tv per night, 5 days a week so that's 30 * 5 = 150 minutes of tv. She watches 2 hours of tv on the weekends and 60 minutes are in 1 hour so that's 2 * 60 = 120 minutes of tv. All total she watches 150 + 120 = 270 minutes of tv per week. There are 52 weeks in a year and she watches 270 minutes per week so that's 52 * 270 = 14,040 minutes of tv per year. She watches 14,040 minutes of tv and 60 minutes are in an hour so she watches 14040 / 60 = 234 hours.
###Human Linda is building a new hotel with two wings. The first wing has 9 floors and each floor has 6 halls each with 32 rooms. The second wing has 7 floors each with 9 halls with 40 rooms each. How many rooms are in the hotel total?.###Assistant 4248, First find the number of rooms per floor in the first wing: 32 rooms / hall * 6 halls / floor = 192 rooms / floor. Then find the total number of rooms in the first wing by multiplying that number by the number of floors: 192 rooms / floor * 9 floors = 1728 rooms. Then find the number of rooms per floor in the second wing: 40 rooms / hall * 9 halls / floor = 360 rooms / floor. Then find the total number of rooms in the second wing by multiplying that number by the number of floors: 360 rooms / floor * 7 floors = 2520 rooms. Then add the total number of rooms in each wing to find the overall total: 1728 rooms + 2520 rooms = 4248 rooms.
###Human Karen and Donald and their 6 children are sharing a beach house with Tom and Eva and their 4 children. If there are 16 legs in the pool, how many people are not in the pool?.###Assistant 6, Karen and Donald and their 6 children are a party of 1 + 1 + 6 = 8 people. Tom and Evan and their 4 children are a party of 1 + 1 + 4 = 6 people. All total, there are 8 + 6 = 14 people at the beach house. There are 16 legs in the pool and everyone has 2 legs so there are 16 / 2 = 8 people in the pool. There are 14 people total at the beach house and 8 people are in the pool so 14 - 8 = 6 people are not in the pool.
###Human Bill has played 200 games of poker and won 63% of them. If he plays 100 more games and loses 43 of them, what is his new win percentage?.###Assistant 61, First find the total number of games Bill has won: 200 games * 63% = 126 games. Then find how many of the next 100 games he wins by subtracting the number he loses from the total: 100 games - 43 games = 57 games. Then add his new wins to his old wins to find his total wins: 57 games + 126 games = 183 games. Then add the old total number of games to the new total number of games to find the overall total number of games: 200 games + 100 games = 300 games. Then divide the total number of games Bill won by the overall total number of games and multiply by 100% to find the percentage of games he won: 183 games / 300 games * 100% = 61%.
###Human Karen is planning writing assignments for her fifth grade class. She knows each short-answer question takes 3 minutes to answer, each paragraph takes 15 minutes to write, and each essay takes an hour to write. If Karen assigns 2 essays and 5 paragraphs, how many short-answer questions should she assign if she wants to assign 4 hours of homework total?.###Assistant 15, First figure out how many minutes 4 hours is: 4 hours * 60 minutes / hour = 240 minutes. Then figure out how long the two essays will take by multiplying the time per essay by the number of essays: 2 essays * 1 hour / essay * 60 minutes / hour = 120 minutes. Use the same method to find the total time spent writing paragraphs: 15 minutes / paragraph * 5 paragraphs = 75 minutes. Now subtract the time spent on essays and paragraphs from the total time to find the time spent on all the short answer questions: 240 minutes - 120 minutes - 75 minutes = 45 minutes. Finally, divide the total time spent on short - answer questions by the time per question to find the number of questions: 45 minutes / 3 minutes / question = 15 questions.
###Human Anahi bought a 500 pages book to write some notes on. In the first week, she wrote on 150 pages. In the second week, she wrote on 30% of the remaining pages. While continuing writing, she accidentally spilled coffee on the book and damaged 20 percent of the empty pages she was to write on. Calculate the total number of empty pages available for her to write on now..###Assistant 196, If she bought a 500 pages book and wrote on 150 pages, the number of empty pages remaining is 500 - 150 = 350 pages. She then wrote on 30% of the remaining empty pages on the second week, a total of 30 / 100 * 350 = 105 pages. The number of remaining empty pages is 350 - 105 = 245 pages. When she spilled coffee on the remaining empty pages, the number of damaged pages was 20 / 100 * 245 = 49. The number of empty pages remaining that she could write on is 245 - 49 = 196 pages.
###Human If there are four times as many apples as oranges in a certain fruit basket and the basket has 15 apples, how many fruits would Emiliano have consumed if he eats 2/3 of each fruit's quantity in the basket?.###Assistant 50, If there are four times as many apples as oranges in a certain fruit basket, with the number of apples being 15, there are 15 * 4 = 60 oranges in the basket. If Emiliano eats 2 / 3 of the oranges in the basket, he would have taken 2 / 3 * 60 = 40 oranges from the basket. With the number of apples in the basket being 15, if Emiliano eats 2 / 3 of them, 2 / 3 * 15 = 10 apples would have been eaten by Emiliano. The total number of fruits eaten by Emiliano will total 10 + 40 = 50.
###Human Natasha has 3 times as much money as Carla, and Carla has twice as much money as Cosima. If Natasha has $60, and the three decide to buy goods worth the total amount they have and sell the goods at 7/5 of the buying price, how much profit would they make?.###Assistant 36, If Natasha has $60, which is 3 times as much money as Carla, Carla has $60 / 3 = $20. Together, Carla and Natasha have $20 + $60 = $80. Carla has twice as much money as Cosima, meaning Cosima has $20 / 2 = $10. Combined, the three have $10 + $80 = $90. If they buy goods with the amount they have and sell at 7 / 5 of the buying price, the total amount of money they will get from selling the goods is 7 / 5 * 90 = $126. If they earn $126 from the sale of the goods they bought with the money they had, their profit is $126 - $90 = $36.
###Human Last night Kannon had 3 apples, a banana, and 4 oranges for dinner. Today she is planning to have 4 more apples than last night, 10 times as many bananas as she ate last night, and twice as many oranges as apples she'll have today. How many fruits would she have eaten so far in the two meals?.###Assistant 39, The total number of fruits that Kannon ate last is 3 apples + 1 banana + 4 oranges = 8. Since last night Kannon had 3 apples, today she'll eat 3 + 4 = 7 apples. She is also planning to eat 10 times as many bananas as she ate last night, a total of 1 * 10 = 10 bananas. Kannon will also eat twice as many oranges as apples she'll have today, which means she'll eat 7 * 2 = 14 oranges. Tonight Kannon will eat 14 oranges + 10 bananas + 7 apples = 31 fruits. In total, after tonight, Kannon would have eaten 31 + 8 = 39 fruits.
###Human Monica and Sheila are twins. Their mother gave them $50 and told them to buy some toilet paper and spend the remainder on groceries. The toilet paper cost $12. They bought apples, butter, eggs, and a large ham for twice the cost of the toilet paper. Since they still had some leftover money, they called their mother and she gave them permission to buy whatever they wanted for themselves as long as they shared the money evenly. They saw some boots they really liked, but a pair of boots costs 3 times the amount they had left. How much more would Monica and Sheila each have to add of their own money to buy two pairs of boots?.###Assistant 35, The groceries cost $12 x 2 = $24. Including the toilet paper, Monica and Sheila had already spent $12 + $24 = $36. This means that they had $50 - $36 = $14 left to spend on themselves. However, the boots cost $14 x 3 = $42 per pair. Two pairs of boots would cost $42 x 2 = $84. They need another $84 - $14 = $70 to buy two pairs. Each of them needs to add another $70 / 2 = $35.
###Human Hasan is packing up his apartment because he’s moving across the country for a new job. He needs to ship several boxes to his new home. The movers have asked that Hasan avoid putting more than a certain weight in pounds in any cardboard box. The moving company has helpfully provided Hasan with a digital scale that will alert him if a package is too heavy. Hasan is in the kitchen, and he fills a cardboard box with 38 dinner plates. When he checks the box, the scale reports his box is too heavy. Hasan knows each of his plates weighs 10 ounces. He removes a single plate from the box and checks the movers’ scale again. The scale reports his box is still too heavy. Hasan repeats the process again and again. When he has removed enough plates, the movers’ scale shows the box is now an acceptable weight for shipping. Hasan deduces that each shipping box can hold 20 pounds before the scale says the box is too heavy. How many plates did Hasan need to remove from the shipping box?.###Assistant 6, Let x be the number of plates removed from the box. Hasan figured out the movers' weight limit was 20 pounds. Since a pound is equal to 16 ounces, each box can hold 20 * 16, or 320 ounces. Each plate weighs 10 ounces, so the weight of the plates in the box after Hasan removes enough plates to satisfy the movers' weight limit is (38 - x) * 10 ounces. Since these two values are equal, we can write the equation (38 - x) * 10 = 320. Dividing both sides by 10 leaves 38 - x = 32. Adding x to both sides gives 38 – x + x = 32 + x, or, 38 = 32 + x. Subtracting 32 from both sides gives the value of x, which is the number of plates removed from the box, 38 - 32 = 32 + x – 32, or, 6 = x.
###Human On his farm, Mr. Mathews has goats and sheep in the ratio of 5:7. He decides to sell half of the goats at $40 each and 2/3 of the sheep at $30 each. How much money does he make from the sale of the animals if the total number of sheep and goats on the farm is 360?.###Assistant 7200, The total ratio of goats and sheep on the farm is 5 + 7 = 12. The fraction that represents goats from the total ratio is 5 / 12, and since there are 360 goats and sheep on the farm, the number of goats is 5 / 12 * 360 = 150. The number of sheep on Mr. Mathews's farm is 360 - 150 = 210. Mr. Mathews sold 1 / 2 * 150 = 75 goats. If each goat went for $40, the total amount of money Mr. Mathews made from the sale of his goats is 75 * $40 = $3000. He also sold 2 / 3 * 210 = 140 of the total sheep on his farm. The income from the sale of the sheep is 140 * $30 = $4200. From the sale of goats and sheep, Mr. Mathews made $4200 + $3000 = $8600.
###Human Bill and Ted went into the forest to gather some wild mushrooms. Bill gathered 12 red mushrooms and 6 brown mushrooms. Ted gathered 14 green mushrooms and 6 blue mushrooms. If half of the blue mushrooms, two-thirds of the red mushrooms, and all of the brown mushrooms have white spots, how many white-spotted mushrooms did they gather?.###Assistant 17, Of the 12 red mushrooms, 2 / 3 had spots, for a total of (2 / 3) * 12 = 8 white - spotted mushrooms. Of the 6 brown mushrooms, 100% had spots, for a total of (100 / 100) * 6 = 6 white - spotted mushrooms. Of the 14 green mushrooms, 0% had white spots, for a total of 14 * 0 = 0 white - spotted mushrooms. And of the 6 blue mushrooms, half had spots, for a total of (1 / 2) * 6 = 3 white - spotted mushrooms. In total, they gathered 8 + 6 + 0 + 3 = 17 white - spotted mushrooms.
###Human A jar on the family's counter contains change they've been saving a trip to the ice cream shop. There are 123 pennies, 85 nickels, 35 dimes, and a number of quarters. All five family members get a double scoop, which costs $3 each. After the trip, they have 48 cents left over. How many quarters were in the jar?.###Assistant 26, The family spent $15 on ice cream because 5 x 3 = 15. They total amount of change they had was $15.48 because 15 + .48 = 15.48. They have $1.23 in pennies because 123 x .01 = 1.23. They have $4.25 in nickels because 85 x .05 = 4.25. They have $3.50 in dimes because 35 x .1 = 3.5. Without the quarters they have a total of $8.98 because 1.23 + 4.25 + 3.5 = 8.98. They have $6.5 worth of quarters because 15.48 - 8.98 = 6.5. They have 26 quarters because 6.5 / .25 = 26.
###Human Rica's group won in a dance competition. She got 3/8 of the prize money. From Rica's prize money, she spent 1/5 of it and is now left with $300. How much was the prize money that her group won?.###Assistant 1000, Rica is left with 1 - 1 / 5 = 4 / 5 of her prize money which is equal to $300. Since 4 / 5 is worth $300, then 1 / 5 is worth $300 / 4 = $75. So, Rica got $75 x 5 = $375 from their prize money which is 3 / 8 of the total prize. Since 3 / 8 is equal to $375, then 1 / 8 is worth $375 / 3 = $125. So, the total prize money is $125 x 8 = $1000.
###Human Susan had a sum of money. She spent 1/5 of it in September, 1/4 of it in October, and $120 in November. After spending these amounts of money, she still had $540 left. How much money did she have at first?.###Assistant 1200, Let X be the amount Susan had originally. Susan spent 1 / 5 * X in September, 1 / 4 * X in October, and $120 in November. Susan has X - 1 / 5 * X - 1 / 4 * X - $120 = $540 left. Combining like terms, we get 11 / 20 * X - $120 = $540. Adding $120 to both sides, we get 11 / 20 * X = $660. Dividing both sides by 11 / 20 we get X = $1200.
###Human The American swallow can lift into the air and carry a maximum of 5 pounds of weight, while the European swallow can lift and carry twice the weight as the American swallow. If there was a flock of 90 swallows, containing twice as many American as European swallows, what is the maximum combined weight the flock can carry?.###Assistant 600, If "x" is the number of European swallows, then, for every one European swallow, there would be 2x American swallows. Thus, the total number of swallows would be 2x + x = 90 swallows. Thus, the number of European swallows x = 30. And the number of American swallows is 90 - 30 = 60. A European swallow can carry twice what an American swallow can carry, or 2 * 5 = 10 pounds. 30 European swallows can carry a maximum of 30 * 10 = 300 pounds. 60 American swallows can carry a maximum of 60 * 5 = 300 pounds. Thus, a flock of 90 birds, with 30 European and 60 American swallows, can carry 300 + 300 = 600 pounds.