Q: Mobius is the fastest mule in Italy. She can run at a top speed of 13 miles per hour when she is without any load to carry, and she can travel at 11 miles per hour as her top speed when she carries a typical load. If she travels the 143 miles from Florence, Italy to Rome, Italy at top speed while carrying a typical load, then returns to Florence at her usual top speed without carrying a load, how long, in hours, will the trip take if she takes two 30-minute rest stops during each half of the trip?
A: 30 minutes is 30 / 60 = 0.5 hours. Two 30 - minute rest stops take 0.5 * 2 - 1 hour. If she takes two rest stops per each half of the journey, then she takes 2 * 1 = 2 hours in rest time. With a load, at her top speed, she can travel 143 miles in 143 / 11 = 13 hours. Without a load, at her top speed, she can travel 143 miles in 143 / 13 = 11 hours. Thus, the round trip will take 13 + 11 + 2 = 26 hours. The answer is 26.
Question: 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?
Answer: 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. The answer is 6657.
[Question]To improve her health, Mary decides to drink 1.5 liters of water a day as recommended by her doctor. Mary's glasses hold 250 mL of water. How many glasses of water should Mary drink per day to reach her goal?
[Answer]Each liter of water holds 1000 mL. Mary's goal is to drink 1.5 liters of water a day, which in mL is 1.5 L * 1000 mL / L = 1500 mL. To reach her goal, Mary should drink 1500 mL / 250 mL / glass = 6 glasses of water per day. The answer is 6.
Q: Dina has twice as many dolls as Ivy. 2/3 of Ivy's dolls are collectors editions. If Ivy has 20 collectors edition dolls, how many dolls does Dina have?
A: Ivy has 20 / 2 * 3 = 30 dolls. Dina has 30 * 2 = 60 dolls. The answer is 60.
Question: Rick likes to separate his collection of books into various groups by genre. He has 400 books in total and proceeds to divide them into two separate equally-sized categories repeatedly until he has each book in a category with 24 other books. How many times must he break these groups into smaller groups to accomplish this?
Answer: Rick starts with 400 books and divides them into two categories of equal size, meaning there are two categories of 400 / 2 = 200 books. Rick repeats this process again, dividing the 200 book categories into equal halves, leaving him with 200 / 2 = 100 books in each. Rick repeats this process again, dividing the 100 book categories into equal halves, leaving him with 100 / 2 = 50 books in each. Rick repeats this process again, dividing the 50 book categories into equal halves, leaving him with 50 / 2 = 25 books in each. Since Rick is looking for categories with 25 books in each, he accomplishes this by the 4th step. The answer is 4.
Q: After 100 new people move into a town, 400 of the original population move out. Every year afterward, the town’s population is halved. After 4 years, the population is 60 people. Before the new people moved in, how many people lived in the town?
A:
If the population is halving then at the end of the third year, the population must have been 60 people in the fourth year * 2 = 120 people. In the second year, the population was 120 people in the third year * 2 = 240 people. And in the first year, the population was 240 people in the third year * 2 = 480 people. Additional people moved out in the first year, so accounting for these shows the population was 480 people + 400 people who moved out = 880 people. Then removing the new people shows there were originally 880 people – 100 new people = 780 people. The answer is 780.
Q: Mobius is the fastest mule in Italy. She can run at a top speed of 13 miles per hour when she is without any load to carry, and she can travel at 11 miles per hour as her top speed when she carries a typical load. If she travels the 143 miles from Florence, Italy to Rome, Italy at top speed while carrying a typical load, then returns to Florence at her usual top speed without carrying a load, how long, in hours, will the trip take if she takes two 30-minute rest stops during each half of the trip?
A: 30 minutes is 30 / 60 = 0.5 hours. Two 30 - minute rest stops take 0.5 * 2 - 1 hour. If she takes two rest stops per each half of the journey, then she takes 2 * 1 = 2 hours in rest time. With a load, at her top speed, she can travel 143 miles in 143 / 11 = 13 hours. Without a load, at her top speed, she can travel 143 miles in 143 / 13 = 11 hours. Thus, the round trip will take 13 + 11 + 2 = 26 hours. The answer is 26.
Question: 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?
Answer: 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. The answer is 6657.
[Question]To improve her health, Mary decides to drink 1.5 liters of water a day as recommended by her doctor. Mary's glasses hold 250 mL of water. How many glasses of water should Mary drink per day to reach her goal?
[Answer]Each liter of water holds 1000 mL. Mary's goal is to drink 1.5 liters of water a day, which in mL is 1.5 L * 1000 mL / L = 1500 mL. To reach her goal, Mary should drink 1500 mL / 250 mL / glass = 6 glasses of water per day. The answer is 6.
Q: Dina has twice as many dolls as Ivy. 2/3 of Ivy's dolls are collectors editions. If Ivy has 20 collectors edition dolls, how many dolls does Dina have?
A: Ivy has 20 / 2 * 3 = 30 dolls. Dina has 30 * 2 = 60 dolls. The answer is 60.
Question: Rick likes to separate his collection of books into various groups by genre. He has 400 books in total and proceeds to divide them into two separate equally-sized categories repeatedly until he has each book in a category with 24 other books. How many times must he break these groups into smaller groups to accomplish this?
Answer: Rick starts with 400 books and divides them into two categories of equal size, meaning there are two categories of 400 / 2 = 200 books. Rick repeats this process again, dividing the 200 book categories into equal halves, leaving him with 200 / 2 = 100 books in each. Rick repeats this process again, dividing the 100 book categories into equal halves, leaving him with 100 / 2 = 50 books in each. Rick repeats this process again, dividing the 50 book categories into equal halves, leaving him with 50 / 2 = 25 books in each. Since Rick is looking for categories with 25 books in each, he accomplishes this by the 4th step. The answer is 4.
Q: After 100 new people move into a town, 400 of the original population move out. Every year afterward, the town’s population is halved. After 4 years, the population is 60 people. Before the new people moved in, how many people lived in the town?
A:
user
If the population is halving then at the end of the third year, the population must have been 60 people in the fourth year * 2 = 120 people. In the second year, the population was 120 people in the third year * 2 = 240 people. And in the first year, the population was 240 people in the third year * 2 = 480 people. Additional people moved out in the first year, so accounting for these shows the population was 480 people + 400 people who moved out = 880 people. Then removing the new people shows there were originally 880 people – 100 new people = 780 people. The answer is 780.
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Q: Mobius is the fastest mule in Italy. She can run at a top speed of 13 miles per hour when she is without any load to carry, and she can travel at 11 miles per hour as her top speed when she carries a typical load. If she travels the 143 miles from Florence, Italy to Rome, Italy at top speed while carrying a typical load, then returns to Florence at her usual top speed without carrying a load, how long, in hours, will the trip take if she takes two 30-minute rest stops during each half of the trip?
A: 30 minutes is 30 / 60 = 0.5 hours. Two 30 - minute rest stops take 0.5 * 2 - 1 hour. If she takes two rest stops per each half of the journey, then she takes 2 * 1 = 2 hours in rest time. With a load, at her top speed, she can travel 143 miles in 143 / 11 = 13 hours. Without a load, at her top speed, she can travel 143 miles in 143 / 13 = 11 hours. Thus, the round trip will take 13 + 11 + 2 = 26 hours. The answer is 26.
Question: 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?
Answer: 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. The answer is 6657.
[Question]To improve her health, Mary decides to drink 1.5 liters of water a day as recommended by her doctor. Mary's glasses hold 250 mL of water. How many glasses of water should Mary drink per day to reach her goal?
[Answer]Each liter of water holds 1000 mL. Mary's goal is to drink 1.5 liters of water a day, which in mL is 1.5 L * 1000 mL / L = 1500 mL. To reach her goal, Mary should drink 1500 mL / 250 mL / glass = 6 glasses of water per day. The answer is 6.
Q: Dina has twice as many dolls as Ivy. 2/3 of Ivy's dolls are collectors editions. If Ivy has 20 collectors edition dolls, how many dolls does Dina have?
A: Ivy has 20 / 2 * 3 = 30 dolls. Dina has 30 * 2 = 60 dolls. The answer is 60.
Question: Rick likes to separate his collection of books into various groups by genre. He has 400 books in total and proceeds to divide them into two separate equally-sized categories repeatedly until he has each book in a category with 24 other books. How many times must he break these groups into smaller groups to accomplish this?
Answer: Rick starts with 400 books and divides them into two categories of equal size, meaning there are two categories of 400 / 2 = 200 books. Rick repeats this process again, dividing the 200 book categories into equal halves, leaving him with 200 / 2 = 100 books in each. Rick repeats this process again, dividing the 100 book categories into equal halves, leaving him with 100 / 2 = 50 books in each. Rick repeats this process again, dividing the 50 book categories into equal halves, leaving him with 50 / 2 = 25 books in each. Since Rick is looking for categories with 25 books in each, he accomplishes this by the 4th step. The answer is 4.
Q: After 100 new people move into a town, 400 of the original population move out. Every year afterward, the town’s population is halved. After 4 years, the population is 60 people. Before the new people moved in, how many people lived in the town?
A:
If the population is halving then at the end of the third year, the population must have been 60 people in the fourth year * 2 = 120 people. In the second year, the population was 120 people in the third year * 2 = 240 people. And in the first year, the population was 240 people in the third year * 2 = 480 people. Additional people moved out in the first year, so accounting for these shows the population was 480 people + 400 people who moved out = 880 people. Then removing the new people shows there were originally 880 people – 100 new people = 780 people. The answer is 780.