Q: Jake agrees to work part of his debt off. He owed someone $100 but paid them $40 before agreeing to work off the rest. He worked for $15 an hour. How many hours did he have to work?
A: He has to work off $100 - $40 = $60. So he has to work $60 / 15 = 4 hours. The answer is 4.
Question: Jim spends 8 hours scuba diving. In that time he finds a treasure chest with 100 gold coins in it. He also finds 2 smaller bags that have half as much gold each. How much gold does he find per hour?
Answer: The smaller bags each have 100 / 2 = 50 gold coins each. So in total, they have 50 * 2 = 100 coins. So he found 100 + 100 = 200 coins. So he finds 200 / 8 = 25 coins an hour. The answer is 25.
[Question]Darrel is an experienced tracker. He can tell a lot about an animal by the footprints it leaves behind. One day he saw a set of coyote footprints. Based on the impressions, he could tell the animal was traveling east at 15 miles per hour, and that the animal left the prints 1 hour ago. If the coyote continues to travel east at 15 miles per hour, and Darrell hops on his motorbike and travels east at 30 miles per hour, how long, in hours, will it take for Darrel to catch up to the coyote?
[Answer]If we let x be the amount of time, in hours, it will take for Darrel to catch up to the coyote, then we can figure this out. Because the distance Darrel travels is defined as the length of time Darrel travels (x) and Darrel's speed (20mph), or the expression 2 * x. And the distance the coyote travels is defined as the length of time the coyote travels (x + 1 hour) and the coyote's speed (15 mph), or the expression (x + 1) * 1. And since the distance Darrel and the coyote travel is the same, then 2 * x = (x + 1) * 1. Simplifying the expression, we get 2 * x = x + 1. If we subtract 1 x from each side, we get x = 1, the amount of time in hours. The answer is 1.
Q: Robert, a sales agent, earns a basic salary of $1250 per month and, 10% commission on his monthly sales. Last month, his total sales were $23600. He allocated 20% of his total earnings to savings and the rest of the money to his monthly expenses. How much were his monthly expenses last month?
A: Robert earned a commission of $23600 x 10 / 100 = $2360. So, he earned a total of $1250 + $2360 = $3610. And, he saved $3610 x 20 / 100 = $722. Therefore, his total expenses last month was $3610 - $722 = $2888. The answer is 2888.
Question: If Brooke adds eight balloons to his current 12, and Tracy adds 24 to her current 6, how many balloons will they have in total if Tracy pops half of her balloons?
Answer: When Brooke gets twelve more balloons, his total becomes 12 + 8 = 20. When Tracy adds 24 more balloons to her 6, her total number of balloons becomes 24 + 6 = 30. When half of Tracy's balloons pop, she remains with 1 / 2 * 30 = 15. The combined total balloons for the two is 15 + 20 = 35 balloons. The answer is 35.
Q: Renaldo drove 15 kilometers. Ernesto drove 7 kilometers more than one-third of Renaldo's distance. How many kilometers did the 2 men drive in total?
A:
Renaldo = 15 km. Ernesto = (1 / 3) * 15 + 7 = 12 km. Total = 15 + 12 = 27 km. Renaldo and Ernesto drove a total of 27 kilometers. The answer is 27.