[Question]Marcos has to get across a 5 mile lake in his speedboat in 10 minutes so he can make it to work on time. How fast does he need to go in miles per hour to make it?
[Answer]10 minutes for 5 miles means 10 minutes / 5 miles = 2 minutes / mile. 1 hour is 60 minutes so 60 minutes / hour / 2 minutes / mile = 30 miles / hour. The answer is 30.
Q: 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?
A: 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.
Question: Jeff makes 10 donuts each day for 12 days. Jeff eats one of the donuts each day. Chris then comes over and eats 8 donuts. If 10 donuts fit in each box, how many boxes can Jeff fill with his donuts?
Answer: Jeff makes a total of 10 * 12 = 120 donuts. Jeff eats 1 * 12 = 12 donuts. After Chris is done eating, there are 120 - 12 - 8 = 100 donuts remaining. Jeff needs 100 / 10 = 10 boxes to store all of his donuts. The answer is 10.
[Question]Reynald is the head of the varsity department, and he bought 145 balls. Twenty were soccer balls. There were five more basketballs than the soccer balls. Twice the number of soccer balls were tennis balls. There were ten more baseballs than the soccer balls, and the rest were volleyballs. How many were volleyballs?
[Answer]There were 20 + 5 = 25 basketballs. There were 2 x 20 = 40 tennis balls. And, there were 20 + 10 = 30 baseballs. So, there were 20 + 25 + 40 + 30 = 115 soccer balls, basketballs, tennis balls and baseball altogether. Therefore, Reynald bought 145 - 115 = 30 volleyballs,. The answer is 30.
Q: There are 40 students in a class. If 1/10 are absent, 3/4 of the students who are present are in the classroom, and the rest are in the canteen, how many students are in the canteen?
A: Out of the 40, 40 x 1 / 10 = 4 students are absent. So, 40 - 4 = 36 students are present in school. Out of the 36, 36 x 3 / 4 = 27 students are in the classroom. This means, 36 - 27 = 9 students are in the canteen. The answer is 9.
Question: The age difference between Asaf and Alexander's age is half the total number of pencils Asaf has. The sum of their ages is 140, and Asaf is 50 years old. If Alexander has 60 more pencils than Asaf, calculate the total number of pencils they have together.
Answer:
If the sum of their ages is 140, and Asaf is 50 years old, Alexander is 140 - 50 = 90 years old. The age difference between Asaf and Alexander's age is 90 - 50 = 40. Since the age difference between Asaf and Alexander's age is half the total number of pencils Asaf has, Asaf has 2 * 40 = 80 pencils. If Alexander has 60 more pencils than Asaf, Alexander has 80 + 60 = 140 pencils. Together, they have 140 + 80 = 220 pencils. The answer is 220.