[Question]There is a massive rainstorm lasting 4 days. There is an area that collects water to prevent flooding in the area. It ends up overflowing on the 4th day. The area can hold the equivalent of 6 feet of rain. It can also drain out the equivalent of 3 inches of rain per day to the nearby river without causing problems. The first day it rained 10 inches. The second day it rained twice that much. On the third day, it rained 50% more than the second day. It flooded the fourth day before getting a chance to do any of the draining. What is the minimum amount it rained on the fourth day?
[Answer]The second day it rained 10 * 2 = 20 inches. On the third day it rained 20 * 1.5 = 30 inches. So in the first 3 days, it rained 10 + 20 + 30 = 60 inches. It drained 4 - 1 = 3 days. So it drained 3 * 3 = 9 inches. That means on the start of the fourth day, there were 60 - 9 = 51 inches in the pond. The area can hold 6 * 12 = 72 inches. So it rained at least 72 - 51 = 21 inches. The answer is 21.
Q: Bill is a painter who is hired to paint a client’s house. The house has three bedrooms, and twice as many other rooms as bedrooms. The client wants each bedroom painted a different color, and the other rooms painted white. Each room takes 2 gallons of paint. Color paint comes in 1-gallon paint cans, and white paint comes in 3-gallon cans. How many cans of paint will Bill need for the whole house?
A: Bill needs 2 * 3 = 6 gallons of color paint for the 3 bedrooms. Thus, he needs 6 / 1 = 6 cans of color paint for the bedrooms. There are 2 * 3 = 6 other rooms in the house. He needs 2 * 6 = 12 gallons of white paint for the other rooms. Thus, he needs 12 / 3 = 4 cans of white paint. In all, Bill needs 4 + 6 = 10 cans of paint for the whole house. The answer is 10.
Question: Benny has bought a new piggy bank and wants to start saving money. In January he adds $19, then adds the same amount in February. By the end of March, he has $46. How many dollars did he add to the piggy bank in March?
Answer: In January and February, Benny added 19 + 19 = $38 to the piggy bank. Calculating the difference between this and the total he has at the end of March shows that he saved 46 – 38 = $8 in March. The answer is 8.
[Question]Ralph is a member of the cross-country relay team. There are four other members on the team who run 3 km to complete their part of the race. Ralph runs twice as much as any member on his team to complete his part of the race. How long is the race?
[Answer]4 team members each run 3 km, so 4 x 3 = 12 km. Ralph runs twice as much as any team member and since team members each run 3 km, Ralph runs 2 x 3 km = 6 km. The length of the race is 6 km run by Ralph + 12 km run by the rest of the team = 18 km. The answer is 18.
Q: Angela has half as many insects as Jacob does, and Jacob has 5 times as many insects as Dean. If Dean has 30 insects, how much does Angela have?
A: Jacob has 5 * 30 = 150 insects. So, Angela has 150 / 2 = 75 insects. The answer is 75.
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.