[Question]A business executive is going on a four day vacation where he will be unable to answer emails. The first day he is gone, he receives 16 new emails. On each of the following days, he receives half as many new emails as he received on the prior day. At the end of his four day vacation, how many new emails will he have received in total?
[Answer]On the second day, the executive receives 16 / 2 = 8 new emails. On the third day, he receives 8 / 2 = 4 new emails. On the fourth day, he receives 4 / 2 = 2 new emails. Therefore, during the entire trip he will have received 16 + 8 + 4 + 2 = 30 new emails. The answer is 30.
Q: Jessie won 3 times as many athletic awards as his buddy Scott, who won 4 awards. The best athlete at the rival high school won twice as many awards as Jessie. How many awards did the rival win?
A: Jessie won 3 times the amount of the 4 awards that Scott won so he won 3 * 4 = 12 awards. The rival athlete won twice the awards as Jessie, who won 12 so he won 2 * 12 = 24 awards. The answer is 24.
Question: James pays $1000 for advertising. It brought 100 customers to his site and 80% of those bought something at the store that cost $25. How much profit does he gain from the ad?
Answer: 100 * .8 = 80 customers bought something. That means they were worth 80 * 25 = $2000. So he gained 2000 - 1000 = $1000 from the ad. The answer is 1000.
[Question]Maurice had only been horseback riding a handful of times in his life. His best friend, Matt, goes horseback riding regularly. When Maurice went to visit Matt for two weeks, he rode another 8 times. Each time, Matt went with him. Meanwhile, besides the times that Matt accompanied Maurice, he rode an additional 16 times. If the total number of times Matt rode during that two weeks is three times the number of times Maurice had ridden before his visit, how many times had Maurice been horseback riding before visiting Matt?
[Answer]During the two weeks, Matt rode a total of 16 times + 8 times = 24 times. Before his visit, Maurice had ridden 24 times / 3 = 8 times. The answer is 8.
Q: Ahmed has 8 orange trees and four times as many apple trees in his orchard as Hassan. If Hassan has one apple tree and two orange trees, and they both have only apple and orange trees in their orchards, how many more trees are in Ahmed's orchard than in Hassan's?
A: Ahmed has 4 times as many apple trees as Hassan who has 1 apple tree so Ahmed has 4 * 1 = 4 apple trees. Ahmed has 8 orange trees in addition to the apple trees for a total of 8 + 4 = 12 trees. Hassan has 1 + 2 = 3 trees in his orchard. Ahmed has 12 - 3 = 9 more trees than Hassan. The answer is 9.
Question: A wild tiger escapes the zoo. He escapes at 1 AM and zookeepers do not notice he is missing until 4 AM. He runs at a speed of 25 mph. It takes 2 more hours to find him but after 4 hours of running, the tiger slows his speed to 10 mph. He then gets chased for half an hour going 50 mph. How far away from the zoo was he caught?
Answer:
He was running for 4 - 1 = 3 hours. So in that time he runs 3 * 25 = 75 miles. Since he slowed down after 4 hours, the time he spent running at 25mph was an additional 4 - 3 = 1 hours. So in the first hour they were finding him, he ran 1 * 25 = 25 miles. In the second hour they were finding him, he ran 1 * 10 = 10 miles. Finally, during the chase, he ran 50 * .5 = 25 miles. So he is 75 + 25 + 10 + 25 = 135 miles away. The answer is 135.