[Question]Miles is a musician. He owns three fewer trumpets than he has fingers, and two more guitars than he has hands. He also owns two more trombones than he has heads, and one fewer French horn than he has guitars. What is the total number of musical instruments that Miles owns?
[Answer]Three fewer trumpets than Miles has fingers is 10 - 3 = 7 trumpets. Two more guitars than he has hands is 2 + 2 = 4 guitars. Two more trombones than he has heads is 2 + 1 = 3 trombones. And one fewer French horn than he has guitars is 4 - 1 = 3 French horns. Altogether, Miles owns 7 + 4 + 3 + 3 = 17 musical instruments. The answer is 17.
Q: Tirzah has a lot of purses and handbags; in total she has 26 purses and 24 handbags. Half the purses and 1/4 the handbags are fake. If the rest are authentic, how many purses and handbags in total are genuine?
A: 26 / 2 = 13 of the purses are genuine. 24 / 4 = 6 of the handbags are fake. 24 - 6 = 18 of the handbags are genuine. There are 13 + 18 = 31 genuine purses and handbags. The answer is 31.
Question: Candy throws 4 pebbles into the lake. Lance throws in 3 times as many pebbles as Candy. How many more pebbles did Lance throw compared to Candy?
Answer: Lance throws this many pebbles into the lake 4 x 3 = 12. He throws this many more pebbles than Candy 12 - 4 = 8 pebbles. The answer is 8.
[Question]Mary earns $20 washing cars and $40 walking dogs each month. If she puts half of that money away each month how long would it take her to save $150?
[Answer]Each month she makes 20 + 40 = $60. Every month she saves 60 / 2 = $30. To save $150 it will take her 150 / 30 = 5 months. The answer is 5.
Q: Selena reads a book with 400 pages. Harry reads a book with 20 fewer than half the number of pages Selena's book has. How many pages are in the book of Harry?
A: Half the number of pages of Selena is 400 / 2 = 200. Therefore, Harry's book has 200 - 20 = 180 pages. The answer is 180.
Question: Alexa was on vacation for 3/4ths of the time it took Ethan to learn 12 fencing tricks. Joey spent half as much this time (that Ethan spent learning the tricks) learning to swim. If Alexa spent a week and 2 days on vacation, how many days did it take Joey to learn swimming?
Answer:
There are 7 days in one week so one week and 2 days = 7 + 2 = 9 days. Call the time Ethan spends learning tricks e. Alexa spent 9 days on vacation which is 3 / 4ths of the time Ethan spent learning 12 fencing tricks, hence (3 / 4)e = 9 days. If we multiply both sides of this equation by 4 / 3, we get e = (4 / 3) * 9 days = 12 days. Joey spent half of 12 days which is 12 / 2 = 6 days to learn swimming. The answer is 6.