[Question]Mary and her two friends agreed to evenly pay for the cost of 2 pounds of chicken. Mary's mother went to the grocery and bought the 2-pound chicken, 3 pounds of beef that cost $4 per pound, and a liter of oil that costs $1. If Mary's mother paid a total of $16 for the grocery, how much should Mary and her two friends pay each for the chicken?
[Answer]Three pounds of beef cost $4 x 3 = $12. Mary's mother paid $12 + $1 = $13 for the beef and oil. Hence, the 2 - pound chicken cost $16 - $13 = $3. There are 1 (Mary) + 2 friends = 3 people who will split the $3 cost. Therefore, each of them will pay $3 / 3 = $1. The answer is 1.
Q: In a house of 15, 3/5 of the people eat pizza. If Aviana brought pizza with 50 pieces, and each person eating pizza took 4 pieces, calculate the number of pizza pieces that remained.
A: If there are 15 people in the house, the number of people eating pizza is 3 / 5 * 15 = 9 people. If each house member who eats pizza took four pieces to eat, the number of pieces taken is 4 * 9 = 36 pieces. Since the total number of pieces was 50, the number of pieces not taken is 50 - 36 = 14 pieces. The answer is 14.
Question: Randy got 90, 98, 92, and 94 in his first four quizzes. His goal is to get a 94 average on his 5 quizzes. What score should he get in the fifth quiz to reach his desired average?
Answer: Since Randy wants to get an average of 94, then the sum of the 5 quizzes should be 94 x 5 = 470. The sum of Randy's score for the first four quizzes is 90 + 98 + 92 + 94 = 374. Thus, Randy needs to get 470 - 374 = 96 in his fifth quiz. The answer is 96.
[Question]The movie theater sells matinee tickets for $5, evening tickets for $12, and 3D tickets for $20. If they sell 200 matinee tickets, 300 evening tickets and 100 3D tickets, how much money do they make in total?
[Answer]First find the total revenue from the matinee tickets: $5 / ticket * 200 tickets = $1000. Then find the total revenue from the evening tickets: $12 / ticket * 300 tickets = $3600. Then find the total revenue from the 3D tickets: $20 / ticket * 100 tickets = $2000. Then add the cost of each group of tickets to find the total cost: $1000 + $3600 + $2000 = $6600. The answer is 6600.
Q: Tony puts $1,000 in a savings account for 1 year. It earns 20% interest. He then takes out half the money to buy a new TV. The next year, the remaining money earns 15% interest. How much is now in the account?
A: After one year he earns $200 in interest because 1,000 x .2 = 200. After one year it has $1,200 in the account because 1,000 + 200 = 1,200. He takes out $600 because 1,200 / 2 = 600. After this it has $600 in it because 1,200 - 600 = 600. She earns $90 in interest because 600 x .15 = 90. The account now has $690 because 600 + 90 = 690. The answer is 690.
Question: Pastor Paul prays 20 times per day, except on Sunday, when he prays twice as much. Pastor Bruce prays half as much as Pastor Paul, except on Sundays, when he prays twice as much as Pastor Paul. How many more times does Pastor Paul pray than Pastor Bruce prays in a week?
Answer:
Pastor Paul prays 20 * 6 = 120 days per week, except Sunday. On Sunday, Pastor Paul prays 2 * 20 = 40 times. Per week, Pastor Paul prays 120 + 40 = 160 times. Pastor Bruce prays half as much as Pastor Paul does on all days except Sunday, for a total of 120 / 2 = 60 times. Pastor Bruce prays twice as much on Sundays as does Pastor Paul, or 40 * 2 = 80 times. In total, Pastor Bruce prays 60 + 80 = 140 times per week. Thus, per week, Pastor Paul prays 160 - 140 = 20 more times per week than Pastor Bruce. The answer is 20.
[Question]Mary and her two friends agreed to evenly pay for the cost of 2 pounds of chicken. Mary's mother went to the grocery and bought the 2-pound chicken, 3 pounds of beef that cost $4 per pound, and a liter of oil that costs $1. If Mary's mother paid a total of $16 for the grocery, how much should Mary and her two friends pay each for the chicken?
[Answer]Three pounds of beef cost $4 x 3 = $12. Mary's mother paid $12 + $1 = $13 for the beef and oil. Hence, the 2 - pound chicken cost $16 - $13 = $3. There are 1 (Mary) + 2 friends = 3 people who will split the $3 cost. Therefore, each of them will pay $3 / 3 = $1. The answer is 1.
Q: In a house of 15, 3/5 of the people eat pizza. If Aviana brought pizza with 50 pieces, and each person eating pizza took 4 pieces, calculate the number of pizza pieces that remained.
A: If there are 15 people in the house, the number of people eating pizza is 3 / 5 * 15 = 9 people. If each house member who eats pizza took four pieces to eat, the number of pieces taken is 4 * 9 = 36 pieces. Since the total number of pieces was 50, the number of pieces not taken is 50 - 36 = 14 pieces. The answer is 14.
Question: Randy got 90, 98, 92, and 94 in his first four quizzes. His goal is to get a 94 average on his 5 quizzes. What score should he get in the fifth quiz to reach his desired average?
Answer: Since Randy wants to get an average of 94, then the sum of the 5 quizzes should be 94 x 5 = 470. The sum of Randy's score for the first four quizzes is 90 + 98 + 92 + 94 = 374. Thus, Randy needs to get 470 - 374 = 96 in his fifth quiz. The answer is 96.
[Question]The movie theater sells matinee tickets for $5, evening tickets for $12, and 3D tickets for $20. If they sell 200 matinee tickets, 300 evening tickets and 100 3D tickets, how much money do they make in total?
[Answer]First find the total revenue from the matinee tickets: $5 / ticket * 200 tickets = $1000. Then find the total revenue from the evening tickets: $12 / ticket * 300 tickets = $3600. Then find the total revenue from the 3D tickets: $20 / ticket * 100 tickets = $2000. Then add the cost of each group of tickets to find the total cost: $1000 + $3600 + $2000 = $6600. The answer is 6600.
Q: Tony puts $1,000 in a savings account for 1 year. It earns 20% interest. He then takes out half the money to buy a new TV. The next year, the remaining money earns 15% interest. How much is now in the account?
A: After one year he earns $200 in interest because 1,000 x .2 = 200. After one year it has $1,200 in the account because 1,000 + 200 = 1,200. He takes out $600 because 1,200 / 2 = 600. After this it has $600 in it because 1,200 - 600 = 600. She earns $90 in interest because 600 x .15 = 90. The account now has $690 because 600 + 90 = 690. The answer is 690.
Question: Pastor Paul prays 20 times per day, except on Sunday, when he prays twice as much. Pastor Bruce prays half as much as Pastor Paul, except on Sundays, when he prays twice as much as Pastor Paul. How many more times does Pastor Paul pray than Pastor Bruce prays in a week?
Answer:
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Pastor Paul prays 20 * 6 = 120 days per week, except Sunday. On Sunday, Pastor Paul prays 2 * 20 = 40 times. Per week, Pastor Paul prays 120 + 40 = 160 times. Pastor Bruce prays half as much as Pastor Paul does on all days except Sunday, for a total of 120 / 2 = 60 times. Pastor Bruce prays twice as much on Sundays as does Pastor Paul, or 40 * 2 = 80 times. In total, Pastor Bruce prays 60 + 80 = 140 times per week. Thus, per week, Pastor Paul prays 160 - 140 = 20 more times per week than Pastor Bruce. The answer is 20.
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[Question]Mary and her two friends agreed to evenly pay for the cost of 2 pounds of chicken. Mary's mother went to the grocery and bought the 2-pound chicken, 3 pounds of beef that cost $4 per pound, and a liter of oil that costs $1. If Mary's mother paid a total of $16 for the grocery, how much should Mary and her two friends pay each for the chicken?
[Answer]Three pounds of beef cost $4 x 3 = $12. Mary's mother paid $12 + $1 = $13 for the beef and oil. Hence, the 2 - pound chicken cost $16 - $13 = $3. There are 1 (Mary) + 2 friends = 3 people who will split the $3 cost. Therefore, each of them will pay $3 / 3 = $1. The answer is 1.
Q: In a house of 15, 3/5 of the people eat pizza. If Aviana brought pizza with 50 pieces, and each person eating pizza took 4 pieces, calculate the number of pizza pieces that remained.
A: If there are 15 people in the house, the number of people eating pizza is 3 / 5 * 15 = 9 people. If each house member who eats pizza took four pieces to eat, the number of pieces taken is 4 * 9 = 36 pieces. Since the total number of pieces was 50, the number of pieces not taken is 50 - 36 = 14 pieces. The answer is 14.
Question: Randy got 90, 98, 92, and 94 in his first four quizzes. His goal is to get a 94 average on his 5 quizzes. What score should he get in the fifth quiz to reach his desired average?
Answer: Since Randy wants to get an average of 94, then the sum of the 5 quizzes should be 94 x 5 = 470. The sum of Randy's score for the first four quizzes is 90 + 98 + 92 + 94 = 374. Thus, Randy needs to get 470 - 374 = 96 in his fifth quiz. The answer is 96.
[Question]The movie theater sells matinee tickets for $5, evening tickets for $12, and 3D tickets for $20. If they sell 200 matinee tickets, 300 evening tickets and 100 3D tickets, how much money do they make in total?
[Answer]First find the total revenue from the matinee tickets: $5 / ticket * 200 tickets = $1000. Then find the total revenue from the evening tickets: $12 / ticket * 300 tickets = $3600. Then find the total revenue from the 3D tickets: $20 / ticket * 100 tickets = $2000. Then add the cost of each group of tickets to find the total cost: $1000 + $3600 + $2000 = $6600. The answer is 6600.
Q: Tony puts $1,000 in a savings account for 1 year. It earns 20% interest. He then takes out half the money to buy a new TV. The next year, the remaining money earns 15% interest. How much is now in the account?
A: After one year he earns $200 in interest because 1,000 x .2 = 200. After one year it has $1,200 in the account because 1,000 + 200 = 1,200. He takes out $600 because 1,200 / 2 = 600. After this it has $600 in it because 1,200 - 600 = 600. She earns $90 in interest because 600 x .15 = 90. The account now has $690 because 600 + 90 = 690. The answer is 690.
Question: Pastor Paul prays 20 times per day, except on Sunday, when he prays twice as much. Pastor Bruce prays half as much as Pastor Paul, except on Sundays, when he prays twice as much as Pastor Paul. How many more times does Pastor Paul pray than Pastor Bruce prays in a week?
Answer:
Pastor Paul prays 20 * 6 = 120 days per week, except Sunday. On Sunday, Pastor Paul prays 2 * 20 = 40 times. Per week, Pastor Paul prays 120 + 40 = 160 times. Pastor Bruce prays half as much as Pastor Paul does on all days except Sunday, for a total of 120 / 2 = 60 times. Pastor Bruce prays twice as much on Sundays as does Pastor Paul, or 40 * 2 = 80 times. In total, Pastor Bruce prays 60 + 80 = 140 times per week. Thus, per week, Pastor Paul prays 160 - 140 = 20 more times per week than Pastor Bruce. The answer is 20.