Q: Sarah's external drive showed 2.4 gigabytes free and 12.6 gigabytes used. She decided to delete a folder of size 4.6 gigabytes and store new files of 2 gigabytes. If she will transfer all her files to a new external drive of size 20 gigabytes, how many free gigabytes will the new external drive have?
A: There were 12.6 - 4.6 = 8 gigabytes used after deleting some files. Then, the used space went up to 8 + 2 = 10 gigabytes after storing other files. Thus, the new 20 gigabytes external drive will have 20 - 10 = 10 gigabytes free. The answer is 10.
Question: Greta received 10 more letters in the mail than her brother. Greta's mother received twice the total number of letters Greta and her brother received. Calculate the total number of letters the three received if Greta's brother received 40 letters.
Answer: Since Greta's brother received 40 letters, Greta received 40 + 10 = 50 letters. Together, Greta and her brother received 50 + 40 = 90 letters. Greta's mother received twice the total number of letters Greta and her brother received, which totals 90 * 2 = 180 letters. In total, the three received 90 + 180 = 270 letters. The answer is 270.
[Question]The area of a triangle with a given base and height is given by 1/2*base*height. What is the base length of a triangle with height 8 and area 24 square units?
[Answer]Let b be the base of the triangle. (1 / 2) * b * 8 = 24. 4 * b = 24. b = 6. The answer is 6.
Q: 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?
A: 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. The answer is 75.
Question: A book library charges fifty cents per day on any book borrowed by its members to read outside the library's premises. At the start of May, Celine borrowed three books from the library to read at home for her upcoming examinations. If she returned one book 20 days after borrowing it, and the other two stayed at her house until the end of May, calculate the total amount of money that she paid at the library for lending the three books.
Answer: Celine was charged $0.50 * 20 = $10 for the book she returned to the library after 20 days. If the other two books stayed at her house until the end of May, she paid 31 * $0.50 = $15.5 for each book. For the two books that stayed at her house until the end of May, Celine paid $15.5 * 2 = $31. For the three books, Celine paid $31 + 10 = $41. The answer is 41.
Q: Eugene built a model house out of toothpicks and a deck of playing cards. For every card, he used 75 toothpicks. The deck of playing cards had 52 cards, and Eugene used all but 16 of the cards to build his house. If a box of toothpicks contains 450 toothpicks, how many boxes of toothpicks did Eugene use to create his model house?
A:
If Eugene used all but 16 of the 52 cards, then he used 52 - 16 = 36 cards. If for every card he used 75 toothpicks, then a box of toothpicks would have enough toothpicks for 450 / 75 = 6 cards. Since one box has enough toothpicks for 6 cards, then for 36 cards he would need 36 / 6 = 6 boxes of toothpicks. The answer is 6.
Q: Sarah's external drive showed 2.4 gigabytes free and 12.6 gigabytes used. She decided to delete a folder of size 4.6 gigabytes and store new files of 2 gigabytes. If she will transfer all her files to a new external drive of size 20 gigabytes, how many free gigabytes will the new external drive have?
A: There were 12.6 - 4.6 = 8 gigabytes used after deleting some files. Then, the used space went up to 8 + 2 = 10 gigabytes after storing other files. Thus, the new 20 gigabytes external drive will have 20 - 10 = 10 gigabytes free. The answer is 10.
Question: Greta received 10 more letters in the mail than her brother. Greta's mother received twice the total number of letters Greta and her brother received. Calculate the total number of letters the three received if Greta's brother received 40 letters.
Answer: Since Greta's brother received 40 letters, Greta received 40 + 10 = 50 letters. Together, Greta and her brother received 50 + 40 = 90 letters. Greta's mother received twice the total number of letters Greta and her brother received, which totals 90 * 2 = 180 letters. In total, the three received 90 + 180 = 270 letters. The answer is 270.
[Question]The area of a triangle with a given base and height is given by 1/2*base*height. What is the base length of a triangle with height 8 and area 24 square units?
[Answer]Let b be the base of the triangle. (1 / 2) * b * 8 = 24. 4 * b = 24. b = 6. The answer is 6.
Q: 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?
A: 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. The answer is 75.
Question: A book library charges fifty cents per day on any book borrowed by its members to read outside the library's premises. At the start of May, Celine borrowed three books from the library to read at home for her upcoming examinations. If she returned one book 20 days after borrowing it, and the other two stayed at her house until the end of May, calculate the total amount of money that she paid at the library for lending the three books.
Answer: Celine was charged $0.50 * 20 = $10 for the book she returned to the library after 20 days. If the other two books stayed at her house until the end of May, she paid 31 * $0.50 = $15.5 for each book. For the two books that stayed at her house until the end of May, Celine paid $15.5 * 2 = $31. For the three books, Celine paid $31 + 10 = $41. The answer is 41.
Q: Eugene built a model house out of toothpicks and a deck of playing cards. For every card, he used 75 toothpicks. The deck of playing cards had 52 cards, and Eugene used all but 16 of the cards to build his house. If a box of toothpicks contains 450 toothpicks, how many boxes of toothpicks did Eugene use to create his model house?
A:
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If Eugene used all but 16 of the 52 cards, then he used 52 - 16 = 36 cards. If for every card he used 75 toothpicks, then a box of toothpicks would have enough toothpicks for 450 / 75 = 6 cards. Since one box has enough toothpicks for 6 cards, then for 36 cards he would need 36 / 6 = 6 boxes of toothpicks. The answer is 6.
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Q: Sarah's external drive showed 2.4 gigabytes free and 12.6 gigabytes used. She decided to delete a folder of size 4.6 gigabytes and store new files of 2 gigabytes. If she will transfer all her files to a new external drive of size 20 gigabytes, how many free gigabytes will the new external drive have?
A: There were 12.6 - 4.6 = 8 gigabytes used after deleting some files. Then, the used space went up to 8 + 2 = 10 gigabytes after storing other files. Thus, the new 20 gigabytes external drive will have 20 - 10 = 10 gigabytes free. The answer is 10.
Question: Greta received 10 more letters in the mail than her brother. Greta's mother received twice the total number of letters Greta and her brother received. Calculate the total number of letters the three received if Greta's brother received 40 letters.
Answer: Since Greta's brother received 40 letters, Greta received 40 + 10 = 50 letters. Together, Greta and her brother received 50 + 40 = 90 letters. Greta's mother received twice the total number of letters Greta and her brother received, which totals 90 * 2 = 180 letters. In total, the three received 90 + 180 = 270 letters. The answer is 270.
[Question]The area of a triangle with a given base and height is given by 1/2*base*height. What is the base length of a triangle with height 8 and area 24 square units?
[Answer]Let b be the base of the triangle. (1 / 2) * b * 8 = 24. 4 * b = 24. b = 6. The answer is 6.
Q: 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?
A: 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. The answer is 75.
Question: A book library charges fifty cents per day on any book borrowed by its members to read outside the library's premises. At the start of May, Celine borrowed three books from the library to read at home for her upcoming examinations. If she returned one book 20 days after borrowing it, and the other two stayed at her house until the end of May, calculate the total amount of money that she paid at the library for lending the three books.
Answer: Celine was charged $0.50 * 20 = $10 for the book she returned to the library after 20 days. If the other two books stayed at her house until the end of May, she paid 31 * $0.50 = $15.5 for each book. For the two books that stayed at her house until the end of May, Celine paid $15.5 * 2 = $31. For the three books, Celine paid $31 + 10 = $41. The answer is 41.
Q: Eugene built a model house out of toothpicks and a deck of playing cards. For every card, he used 75 toothpicks. The deck of playing cards had 52 cards, and Eugene used all but 16 of the cards to build his house. If a box of toothpicks contains 450 toothpicks, how many boxes of toothpicks did Eugene use to create his model house?
A:
If Eugene used all but 16 of the 52 cards, then he used 52 - 16 = 36 cards. If for every card he used 75 toothpicks, then a box of toothpicks would have enough toothpicks for 450 / 75 = 6 cards. Since one box has enough toothpicks for 6 cards, then for 36 cards he would need 36 / 6 = 6 boxes of toothpicks. The answer is 6.