[Question]Kenny played basketball last week. He ran for twice as long as he played basketball, and he practiced on the trumpet for twice as long as he ran. If he practiced on the trumpet for 40 hours, how many hours did Kenny play basketball last week?
[Answer]Kenny ran for 40 / 2 = 20 hours. Kenny played basketball for 20 / 2 = 10 hours. The answer is 10.
Q: Luke started working on a 1000-piece jigsaw puzzle. The first day he worked on it, he put together 10% of the pieces. On the second day, he put together another 20% of the remaining pieces from the first day. On the third day, he put together 30% of the remaining pieces from the previous day. How many pieces does he have left to complete after the third day?
A: Luke started putting together, 1000 x 0.1 = 100 pieces. The next day, there were 1000 - 100 = 900 pieces left. Then he put together 900 * 0.2 = 180 pieces on the second day. So there were 900 - 180 = 720 pieces left. On the third day, he put together 720 * 0.3 = 216 pieces. Therefore, Luke still has 720 - 216 = 504 pieces left to complete the puzzle. The answer is 504.
Question: The sum of the three sides of a triangle is 50. The right side of the triangle is 2 cm longer than the left side. Find the value of the triangle base if the left side has a value of 12 cm.
Answer: If the left side of the triangle is 12, and the right side is 2 cm longer, the right side is 12 + 2 = 14 cm long. The sum of the left and right sides of the triangle is 14 + 12 = 26 cm. If the sum of all sides of the is 50, and the left and right sides of the triangle are 26, the triangle base is 50 - 26 = 24 cm. The answer is 24.
[Question]20% of the job candidates at a temp agency have experience with Excel. 70% of the candidates are only willing to work day shifts. If a manager picks a candidate at random, what are the odds they know Excel and are willing to work nights?
[Answer]First find the percentage of candidates who are willing to work nights: 100% - 70% = 30%. Then multiply that percentage by the percentage who know Excel to find the percentage who meet both qualifications: 30% * 20% = 6%. The answer is 6.
Q: June made a design with 20 equal tiles. Three tiles are yellow and the number of blue tiles is one more than the number of yellow tiles. Six tiles are purple and the remaining tiles are white. How many white tiles are there?
A: There are 3 + 1 = 4 blue tiles. There are a total of 3 + 4 + 6 = 13 tiles are yellow, blue, and purple. Hence, 20 - 13 = 7 tiles are white. The answer is 7.
Question: Chastity made 12 angel food cakes to give to friends. She placed the cakes in boxes, and then walked them out to her car. But she had forgotten her keys. So, she placed the boxes of cakes in one stack on the hood of her car, and then she ran back into the house to get her keys. But before she returned, a black crow came, landed on the stack of cakes, and knocked over half of the stack. When Chastity returned, she picked up half of the fallen cakes, which were not damaged, but the rest of the cakes were destroyed. How many cakes were destroyed?
Answer:
There were 12 / 2 = 6 fallen cakes. Half of 6 fallen cakes were destroyed, for a total of 6 / 2 = 3 cakes. The answer is 3.