Question: A water tank has a capacity of 4000 gallons. Mack connects a pipe to the tank that fills the tank with water at the rate of 10 gallons per hour. How long will it take to fill the tank to 3/4 of its capacity?
Answer: 3 / 4 of the water tank is 3 / 4 * 4000 = 3000. If the pipe fills the tank with water at the rate of 10 gallons per hour, it will take 3000 / 10 = 300 hours to fill the tank to 3 / 4 of its capacity. The answer is 300.
[Question]Cindy has 37 envelopes. If Cindy gives 3 envelopes to each of her 5 friends, how many envelopes does she have left?
[Answer]Cindy gave 3 envelopes / friend x 5 friends = 15 envelopes to her friends. Cindy has 37 envelopes - 15 envelopes = 22 envelopes left. The answer is 22.
Q: Mabel lives 4500 steps directly east of Lake High school. Helen lives 3/4 the number of steps that Mabel lives, directly west of the school. What's the total number of steps Mabel will walk to visit Helen so that they can do their assignments together?
A: Helen lives 3 / 4 * 4500 = 3375 steps directly west of Lake High. To reach Helen, Mabel would have to walk to 4500 + 3375 = 7875 steps. The answer is 7875.
Question: A third of all the cats in the village have spots. A quarter of the spotted cats in the village are fluffy. If there are 120 cats in the village, how many of the cats are spotted and fluffy?
Answer: If a third of the cats have spots and a quarter of those are fluffy (1 / 3) x (1 / 4) = 1 / 12 cats are both fluffy and spotted. Out of 120 cats, 120 cats / 12 = 10 cats are spotted and fluffy. The answer is 10.
[Question]Bob buys 50 feet of rope. He uses a 5th of it to make a small piece of art. He takes the rest and gives half of it to the friend. After that, he cuts 2-foot sections. How many sections does he get?
[Answer]He cuts off 50 / 5 = 10 feet. So he has 50 - 10 = 40 feet left. He gives half away which means he has 40 / 2 = 20 feet. So he has 20 / 2 = 10 sections. The answer is 10.
[Question]Village Foods sells good food at a fair price. Their specialty is fresh vegetables. If they get 500 customers per month, and each customer purchases 2 heads of lettuce for $1 each and 4 tomatoes for $0.5 apiece, then how much money, in dollars, will the store receive in sales of lettuce and tomatoes per month?
[Answer]
2 heads of lettuce at $1 apiece is 2 * $1 = $2. 4 tomatoes at $0.50 apiece is 4 * $0.5 = $2. Thus, each customer purchases $2 + $2 = $4 in lettuce and tomatoes per month. Therefore, if 500 customers per month spend $4 on lettuce and tomatoes, then the store will receive $4 * 500 = $2000 per month on sales of lettuce and tomatoes. The answer is 2000.