Q: Of the 600 students at River Falls High School, 3/4 of them play tennis. Of those that play tennis, 60% of them also play hockey. How many students play both hockey and tennis?
A: 3 / 4 of the students at River Falls High School play tennis, a total of 3 / 4 * 600 = 450 students. Of those that play tennis, 60% of them also play hockey, meaning 60 / 100 * 450 = 270 students play hockey and tennis. The answer is 270.
Question: Dana has 15 more pencils than Jayden, who has twice as much as Marcus. How many more pencils does Dana have than Marcus, if Jayden has 20 pencils?
Answer: Dana has 15 more pencils than Jayden who has 20, so Dana has 20 + 15 = 35 pencils. Jayden has 20 pencils which is twice as much as Marcus's so Marcus has 20 / 2 = 10 pencils. Dana has 35 - 10 = 25 more pencils than Marcus. The answer is 25.
[Question]A local park has 70 pigeons that call the park home. Half of the pigeons are black, and 20 percent of the black pigeons are male. How many more black female pigeons are there than black male pigeons?
[Answer]Black:70 / 2 = 35 pigeons. Black Male: 35(.20) = 7 pigeons. 35 - 7 = 28 female black pigeon. There are 28 - 7 = 21 more black female pigeons. The answer is 21.
Q: Luke takes fifty more than five times as many grape jelly beans as vanilla jelly beans. If there are 120 vanilla jelly beans, how many jelly beans are there in total?
A: Luke takes 5 * 120 = 600 grape jelly beans, five times the vanilla jelly beans there are?. Luke's total number of grape jelly beans is fifty more than five times the number of vanilla jelly beans, a total of 600 + 50 = 650. In total, there are 650 + 120 = 770 jelly beans. The answer is 770.
Question: Carlo has a music recital next week. He practiced twice as long on Monday as on Tuesday. On Tuesday, he practiced 10 minutes less than on Wednesday. On Wednesday, he practiced 5 minutes more than on Thursday. On Thursday, he practiced for 50 minutes. If he needs to practice for a total of 5 hours that week, how long should Carlo practice on Friday?
Answer: On Wednesday, Carlo practiced for 50 + 5 = 55 minutes. On Tuesday, he practiced for 55 - 10 = 45 minutes. On Monday, he practiced for 45 x 2 = 90 minutes. So, Carlo practiced for a total of 90 + 45 + 55 + 50 = 240 minutes from Monday to Thursday. He needs to practice for a total of 60 x 5 = 300 minutes. Therefore, he should practice for 300 - 240 = 60 minutes on Friday. The answer is 60.
Q: Vincent has 72 inches of rope that he wants to use for a project, but he needs to cut it into smaller pieces first. He cuts it into 12 equal length pieces, but then he realizes it's too short, so he ties three pieces together. The knots then make each piece 1 inch shorter. How long are his pieces of rope after all this?
A:
Each small piece is 6 inches because 72 / 12 = 6. Each piece is then 5 inches long after the knots are tied because 6 - 1 = 5. The three pieces tied together are now 15 inches long because 5 x 3 = 15. The answer is 15.