Q: Mary bought a packet of 1500 stickers. She shared them between Susan, Andrew and Sam in the ratio 1:1:3 respectively. If Sam gave Andrew two-thirds of his own share, how many stickers does Andrew now have?
A: The sum of the ratio is 1 + 1 + 3 = 5, therefore each part is 1500 / 5 = 300 stickers. Sam got 3 parts for a total of 3 * 300 = 900 stickers. He gave two - thirds of this which is 900 * (2 / 3) = 600 stickers to Andrew. Andrew had one part already, which is 1 * 300 = 300. Andrew now has a total of 300 + 600 = 900 stickers. The answer is 900.
Question: Brian has the same percentage of white stones and black stones in his collection of 100 stones as he does of grey stones and green stones in a separate collection. He has 40 grey stones and 60 green stones. How many white stones does Brian have if he has more white stones than black ones?
Answer: First we must determine the percentage of the grey and green stones. We add the two amounts together, finding 40 + 60 = 100. We then figure out that 40 / 100 = .4, meaning 40 percent of the stones are grey in the second selection. This means that 1.0 - .4 = .6, or 60 percent of the stones are green. Since there are more green stones than grey stones, and the white and black pile have the same percentage, and there are more white stones than black stones, that means there are 60 percent white stones in the first pile. Therefore, to find the number of white stones we multiply 100 * .6 = 60 white stones. The answer is 60.
[Question]Gabriel is 3 years younger than Frank. The current total of their ages right now is 17. What is Frank's age?
[Answer]Let X be Frank's age. So Gabriel is X - 3 years old. The total of their ages is X + (X - 3) = 17 years old. 2X - 3 = 17. 2X = 20. X = 10. So Frank is X = 10 years old. The answer is 10.
Q: Fifteen more than a quarter of a number is 27. What is the number?
A: A quarter of the number is 27 - 15 = 12. The number is 12 * 4 = 48. The answer is 48.
Question: Mark does a gig every other day for 2 weeks. For each gig, he plays 3 songs. 2 of the songs are 5 minutes long and the last song is twice that long. How many minutes did he play?
Answer: He played 7 * 2 = 14 gigs. The long song was 5 * 2 = 10 minutes. So all the gigs were 5 + 5 + 10 = 20 minutes. So he played 14 * 20 = 140 minutes. The answer is 280.
Q: Jessica wrote a long letter to her aunt and needed to put stamps on it to mail it. She used eight pieces of paper that weigh 1/5 of an ounce each, and her envelope weighs 2/5 of an ounce. She needed one stamp per ounce. How many stamps did Jessica need to mail her letter?
A:
Jessica's papers weigh 8 * 1 / 5 = 8 / 5 ounces. The papers in the envelope weigh 8 / 5 + 2 / 5 = 10 / 5 = 2 ounces. Thus, Jessica needs 2 * 1 = 2 stamps to mail her letter. The answer is 2.