Q: Jordan gave Danielle two dozen roses and a box of chocolates as a birthday day gift. Later that day, after Jordan left, Danielle traded the box of chocolates for another dozen roses. Overnight, half of the roses wilted, and Danielle decided to throw the wilted flowers away. On the second day, another half of the remaining flowers wilted, and she threw the wilted ones away. How many unwilted flowers remained?
A: Danielle started with two dozen roses, or a total of 2 * 12 = 24 roses. Her trade added another dozen roses, for a total of 12 + 24 = 36 roses. The first night, half of the roses wilted, leaving 36 / 2 = 18 roses. On the second night, again half of the remaining roses wilted, leaving 18 / 2 = 9 unwilted roses. The answer is 9.
Question: An avant-garde sushi house sells jellyfish for a certain amount and eel for nine times that amount. If the combined cost of one order each kind of sushi is $200, how much does the eel cost?
Answer: Let j be the cost of the jellyfish and e be the cost of the eel. We know that j + e = $200 and e = 9j. Substituting the second equation into the first equation, we get j + 9j = $200. Combining like terms, we get 10j = $200. Dividing both sides by 10, we get j = $20. Substituting this value back into e = 9j, we get e = 9 * $20 = $180. The answer is 180.
[Question]Reginald is selling apples. He sells each apple for $1.25. He plans to use his profits to help repair his bike. His bike cost $80 and the repairs cost 25% of what his bike cost. After the repairs are paid for, 1/5 of the money he'd earned remains. How many apples did he sell?
[Answer]The bike repairs cost $20 because 80 x .25 = 20. Call the amount he earns e. We know that e - 20 = 1 / 5e. Therefore 5e - 100 = e. Therefore, 4e = 100. Therefore, e = 25. Therefore, he sold 20 apples because 25 / 1.25 = 20. The answer is 20.
Q: Lionel went to the grocery store and bought 14 boxes of Graham crackers and 15 packets of Oreos. To make an Oreo cheesecake, Lionel needs 2 boxes of Graham crackers and 3 packets of Oreos. After making the maximum number of Oreo cheesecakes he can with the ingredients he bought, how many boxes of Graham crackers would he have left over?
A: Lionel has enough Graham crackers to make 14 / 2 = 7 Oreo cheesecakes. Lionel has enough Oreos to make 15 / 3 = 5 Oreo cheesecakes. Therefore, the maximum number of cheesecakes Lionel can make is 5. Lionel needs 2 * 5 = 10 boxes of Graham crackers to make 4 cheesecakes. He'll have 14 - 10 = 4 boxes left over. The answer is 4.
Question: For a school fundraiser, Tory needs to sell 50 packs of cookies. So far, he has sold 12 packs to his grandmother, 7 packs to his uncle, and 5 packs to a neighbor. How many more packs of cookies does Tory need to sell?
Answer: Tory sold 12 packs + 7 packs = 19 packs to his family members. Tory sold 19 packs + 5 packs = 24 packs in total. He has to sell 50 packs - 24 packs = 26 more packs of cookies to reach his target. The answer is 26.
Q: Kate bought 7 packs of red bouncy balls and 6 packs of yellow bouncy balls. Each pack contained 18 bouncy balls. How many more red bouncy balls than yellow bouncy balls did Kate buy?
A:
Kate bought 7 packs 18 balls / pack = 126 red bouncy balls. She also bought 6 packs 18 balls / pack = 108 yellow bouncy balls. Kate bought 126 balls - 108 balls = 18 more red bouncy balls than yellow bouncy balls. The answer is 18.