[Question]The ratio of boys to girls in a family is 5:7. The total number of children in the family is 180. If the boys are given $3900 to share, how much money does each boy receive?
[Answer]The total ratio representing the number of children in the family is 5 + 7 = 12. From the total ratio of children in the family, 5 / 12 represent the number of boys, meaning that the number of boys in the family is 5 / 12 * 180 = 75. If the boys are given $3900 to share, each boy receives $3900 / 75 = $52. The answer is 52.
Q: Each month, Diego deposits his $5,000 paycheck into a bank account, which he then uses for all of his expenses, which amount to $4,600 per month. How much, in dollars, does Diego save over the course of a year?
A: Each month, he saves $5000 - $4600 = $400. And 12 * $400 = $4800. The answer is 4800.
Question: A parking garage of a mall is four stories tall. On the first level, there are 90 parking spaces. The second level has 8 more parking spaces than on the first level, and there are 12 more available parking spaces on the third level than on the second level. The fourth level has 9 fewer parking spaces than the third level. If 100 cars are already parked, how many cars can be accommodated by the parking garage?
Answer: The second level has 90 + 8 = 98 parking spaces. The third level has 98 + 12 = 110 parking spaces. The fourth level has 110 - 9 = 101 parking spaces. So the parking garage can accommodate 90 + 98 + 110 + 101 = 399 cars. Thus, the parking garage can still accommodate 399 - 100 = 299 cars. The answer is 299.
[Question]Tom hasn't been sleeping well lately. He figures he has been getting about 5 hours of sleep each weeknight and 6 hours each night on the weekend. If Tom would ideally like to get 8 hours of sleep each night on both weeknights and weekends, how many hours of sleep is Tom behind on from the last week?
[Answer]Tom ideally wants to sleep 8 hours a night for 7 days, 8 x 7 = 56 hours sleep total for the week. Tom has actually only slept 5 hours each weeknight, 5 x 5 = 25 hours of sleep. Tom has only slept 6 hours each night on the weekend, 6 x 2 = 12 hours of sleep. Total, Tom has gotten 25 + 12 hours = 37 hours sleep. The difference between how many hours Tom would like to sleep, 56, and how many hours he's actually slept, 37, is 56 - 37 = 19 hours of sleep that Tom is behind on. The answer is 19.
Q: Chris wants to hold his breath underwater for 90 straight seconds so he starts training each day. On the first day, he holds it for 10 seconds. On the second day, he holds it for 20 seconds. On the third day, he holds it for 30 seconds. After realizing that he can hold it for ten extra seconds each day, he realizes he can calculate how many days it is until he reaches 90 if he keeps up the same pace. So how many days until he can hold his breath for 90 seconds?
A: He still has to improve by 60 more seconds because 90 - 30 = 60. This will take 6 days because 60 / 10 = 6. The answer is 6.
Question: Bob and Jim decide to skip rocks. Bob can skip a rock 12 times. Jim can skip a rock 15 times. If they each skipped 10 rocks how many total skips did they get?
Answer:
Bob got 12 * 10 = 120 skips. Jim got 15 * 10 = 150 skips. So in total they got 120 + 150 = 270 skips. The answer is 270.