[Question]Page collects fancy shoes and has 80 pairs in her closet. She decides to donate 30% of her collection that she no longer wears. After dropping off her donation, she treats herself and buys 6 more pairs to add to her collection. How many shoes does she have now?
[Answer]She donates 30% of her 80 pairs of shoes so that’s .30 * 80 = 24 pair of shoes she donates. She had 80 shoes in her collection and donates 24 so that leaves 80 - 24 = 56 pairs of shoes. She now has 56 pairs of shoes and buys 6 more pairs so her collection is now 56 + 6 = 62 pairs of shoes. The answer is 62.
Q: Amiyah is cutting some trees to build a cow shade. For every tree she cuts, she plants 5 new trees. If there were 400 trees on her farm and she cut 20% of them, calculate the total number of trees on the farm.
A: The number of trees that Amiyah cut is 20 / 100 * 400 = 80. The number of trees remaining on the farm after she cut 80 trees is 400 - 80 = 320. For every tree that Amiyah cut, she plants 5 new trees, and since she cut 80 trees, she planted 80 * 5 = 400 new trees. The total number of trees on the farm is now 320 + 400 = 720 trees. The answer is 720.
Question: Tom goes to a combined undergrad and Ph.D. program. It takes 3 years to finish the BS and 5 years to finish the Ph.D. Tom finishes it in 3/4ths the time. How long does it take for him to finish?
Answer: The program normally takes 3 + 5 = 8 years. So he manages to finish in 8 * 3 / 4 = 6 years. The answer is 6.
[Question]Arthur wants to sell his basketball card collection and use the money to buy comic books. The store owner tells him that each card is worth 5 cents and comic books cost $6 each. If Arthur sells all 2,000 cards of his and buys as many comic books as he can, how much money does he have leftover?
[Answer]Arthur makes $100 because .05 x 2000 = 100. Arthur can buy 16 comic books because 100 / 6 = 16 and (2 / 3). The comic books cost $96 because 16 x 6 = 96. He has $4 leftover because 100 - 96 = 4. The answer is 4.
Q: George and Amelia are picking oranges and apples at an orchard. George picks 45 oranges and 5 more apples than Amelia. Amelia picks 18 fewer oranges than George and 15 apples. How many fruits do they pick altogether?
A: Amelia picks 45 - 18 = 27 oranges. The total number of oranges that they pick is 45 + 27 = 72. George picks 15 + 5 = 20 apples. The total number of apples that they pick is 20 + 15 = 35. So, they pick 72 + 35 = 107 fruits altogether. The answer is 107.
Question: Myrtle’s 3 hens lay 3 eggs a day. She would be gone for 7 days and told her neighbor to take as many as they would like. The neighbor took 12 eggs. Once home, Myrtle collected the remaining eggs, dropping 5 on the way into her house. How many eggs does Myrtle have?
Answer:
She has 3 hens that lay 3 eggs a day so they lay 3 * 3 = 9 eggs a day. The hens lay 9 eggs a day and she wasn't able to collect them for 7 days so that means there are 9 * 7 = 63 eggs. Her neighbor took 12 off the 63 eggs so that leaves 63 - 12 = 51 eggs. Myrtle dropped 5 of the remaining 51 eggs so she has 51 - 5 = 46 eggs. The answer is 46.