Question: The school band has 30 songs in their repertoire. The band played 5 songs in their first set and 7 in their second set. The band will play 2 songs for their encore. Assuming the band plays through their entire repertoire, how many songs will they play on average in the third and fourth sets?
Answer: The band played 5 + 7 = 12 songs in their first two sets. They have 30 - 12 = 18 songs left for the third set, fourth set and encore. Since they played 2 songs in the encore, they have 18 - 2 = 16 songs to play on the third and fourth sets. They will play 16 / 2 = 8 songs on average over the third and fourth sets. The answer is 8.
[Question]Amanda needs 12 more marbles to have twice as many marbles as Katrina, and Mabel has 5 times as many marbles as Katrina. If Mabel has 85 marbles, how many more marbles does Mabel have than Amanda?
[Answer]Katrina has 85 / 5 = 17 marbles. Twice as many marbles as Katrina is 17 x 2 = 34. Amanda has 34 - 12 = 22 marbles. Mabel has 85 - 22 = 63 more marbles than Amanda. The answer is 63.
Q: A craft store makes a third of its sales in the fabric section, a quarter of its sales in the jewelry section, and the rest in the stationery section. They made 36 sales today. How many sales were in the stationery section?
A: The craft store made 36 / 3 = 12 sales in the fabric section. It made 36 / 4 = 9 sales in the jewelry section. Thus, there were 36 - 12 - 9 = 15 sales in the stationery section. The answer is 15.
Question: A river is to be used for a boat race. If each boat is 3 feet across and they must have at least 2 feet between them or the riverbank, how many boats can race in a river that is 42 feet across?
Answer: Each boat will require 3 feet across to fit itself and 2 feet space on one side for a total of 2 + 3 = 5 feet per boat. The last boat will need an additional 2 feet space on its other side, so this 2 feet should be subtracted first from the 42 feet which leaves 42 - 2 = 40 feet. 5 feet per boat on the remaining 40 feet for a total of 40 / 5 = 8 boats. The answer is 8.
[Question]Jason is climbing a telephone pole next to a tree his friend Matt is climbing. Matt can climb 6 feet/minute and Jason can climb 12 feet per minute. After 7 minutes, how much higher will Jason be than Matt?
[Answer]First find the distance Matt climbs in 7 minutes: 6 feet / minute * 7 minutes = 42 feet. Then find the distance Jason climbs in 7 minutes: 12 feet / minute * 7 minutes = 84 feet. Then subtract the distance Matt climbs from the distance Jason climbs to find the difference: 84 feet - 42 feet = 42 feet. The answer is 42.
[Question]Ben will receive a bonus of $1496. He chooses to allocate this amount as follows: 1/22 for the kitchen, 1/4 for holidays and 1/8 for Christmas gifts for his 3 children. How much money will he still have left after these expenses?
[Answer]
Ben's spending for the kitchen is $1496 x 1 / 22 = $68. Ben's spending for holidays is $1496 x 1 / 4 = $374. Ben's spending for children's gifts is $1496 x 1 / 8 = $187. The total amount spent is $68 + $374 + $187 = $629. So, Ben still has $1496 - $629 = $867 left. The answer is 867.