Question: Lydia has a small pool she uses to bathe her dogs. When full, the pool holds 60 gallons of water. She fills her pool using the garden hose, which provides water at the rate of 1.6 gallons per minute. Unfortunately, her pool has a small hole that leaks water at a rate of 0.1 gallons per minute. How long will it take for her to fill the pool, in minutes?
Answer: With a garden hose that fills at a rate of 1.6 gallons per minute, and a hole that leaks at 0.1 gallons per minute, the net fill rate becomes 1.6 - 0.1 = 1.5 gallons per minute. Therefore, to fill a 60 - gallon pool, it will take 60 / 1.5 = 40 minutes. The answer is 40.
[Question]Nida has 50 chocolates in which some are in 3 filled boxes and 5 pieces are not in a box. Her friend brought 25 pieces of chocolates. If all chocolates must be placed in a box, how many more boxes do they need?
[Answer]There are 50 - 5 = 45 chocolates in three boxes. So, each box is filled with 45 / 3 = 15 chocolates. 5 + 25 = 30 chocolates are needed to be placed in boxes. Hence, they needed 30 / 15 = 2 boxes for the 30 chocolates. The answer is 2.
Q: Lisa makes breakfast for her family every morning, Monday through Friday. She makes 2 eggs for each of her 4 children and 3 eggs for her husband. Then, she makes 2 eggs for herself. How many eggs does Lisa cook for her family for breakfast in a year?
A: Lisa makes 2 eggs / child x 4 children = 8 eggs for her children. She makes 3 eggs for her husband + 2 for herself + 8 for her children = 13 eggs. Lisa makes breakfast 5 days a week for 52 weeks a year, so 5 * 52 = 260 breakfasts. So Lisa makes 13 eggs / breakfast x 260 breakfasts = 3,380 eggs. The answer is 3380.
Question: It's exam season and Tristan has several exams to prepare for. On Monday, he studies for 4 hours then studies for twice this long on Tuesday. On Wednesday, Thursday, and Friday he studies for 3 hours each day. He wants to study for a total of 25 hours over the week and divides the remaining amount of study time evenly between Saturday and Sunday. How many hours does Tristan spend studying on Saturday?
Answer: On Tuesday, Tristan studies twice as long as he did on Monday and this amounts to 4 hours * 2 = 8 hours. So in the first 5 days of the week, he studies for a total of 4 hours Monday + 8 hours Tuesday + 3 hours Wednesday + 3 hours Thursday + 3 hours Friday = 21 hours. He therefore has 25 planned hours 21 used hours = 4 hours left to study. As he splits his time evenly over 2 days, he spends 4 hours / 2 = 2 hours studying on Saturday. The answer is 2.
[Question]Joseph and his friends watched two movies in his house. The first movie is 1 hour and 30 minutes long while the second movie is 30 minutes longer than the first. Before the movies, they spent 10 minutes making popcorn and twice as long making fries. How long, in hours, did it take Joseph and his friends to cook and watch the movies?
[Answer]The first movie was 60 + 30 = 90 minutes long since an hour has 60 minutes. The second movie was 90 + 30 = 120 minutes long. It took them a total of 90 + 120 = 210 minutes to watch the two movies. It took them 10 x 2 = 20 minutes to cook the fries. Thus, it took them a total of 10 + 20 = 30 minutes to cook. So, they spent 210 + 30 = 240 minutes watching the movies and cooking. In hours, this is equal to 240 / 60 = 4 hours. The answer is 4.
[Question]A packet of candy sweets has 30 cherry-flavored sweets, 40 strawberry-flavored sweets, and 50 pineapple-flavored sweets. Aaron eats half of each of the flavored sweets and gives 5 cherry-flavored sweets to his friend. How many sweets are still in the packet of candy?
[Answer]
Aaron eats 1 / 2 * 30 sweets + 1 / 2 * 40 sweets + 1 / 2 * 50 sweets = 60 candy sweets. The packet of candy sweets still has 60 sweets - 5 sweets = 55 candy sweets. The answer is 55.