[Question]April went to a concert that has two bands. 2/3 of the audience was there for the second band and 1/3 was there for the first band. 50% of the audience there for the second band is under the age of 30. Of this group, 60% are women and there are 20 men. How many people are at the concert?
[Answer]Of the under - 30s there for the second band, 40% are men because 100 - 60 = 40. There are fifty under - 30s there for the second band because 20 / .4 = 50. There are 100 people there to see the second band because 50 / .5 = 100. There are 150 people at the concert because 100 / (2 / 3) = 150. The answer is 150.
Q: John travels 150 miles in 2 hours. The speed limit is 60 mph. How many mph above the speed limit was he driving?
A: He was driving 150 / 2 = 75 mph. So he was 75 - 60 = 15 mph above the speed limit. The answer is 15.
Question: The total average age of three friends is 40. Jared is ten years older than Hakimi, and Molly's age is 30. How old is Hakimi?
Answer: The total age for the three friends is 40 * 3 = 120. If Molly's age is 30, then Jared and Hakimi have a total age of 120 - 30 = 90. Let's say the age of Hakimi is x. Since Jared is 10 years older than Hakimi, Jared is x + 10 years old. Jared and Hakimi's total age is x + (x + 10) = 90. This translates to 2x = 90 - 10. 2x = 80. Hakimi's age is x = 80 / 2. This gives us x = 40, which is Hamkimi's age. The answer is 40.
[Question]Jan buys 1000 feet of cable. She splits it up into 25-foot sections. She gives 1/4 of that to a friend. She then puts half of the rest in storage. How much does she keep on hand?
[Answer]She gets 1000 / 25 = 40 sections. She gives away 40 / 4 = 10 sections. So she keeps 40 - 10 = 30 sections. She keeps 30 / 2 = 15 sections on hand. The answer is 15.
Q: Tim is 5 years old. His cousin, Rommel, is thrice as old as he is. His other cousin, Jenny, is 2 years older than Rommel. How many years younger is Tim than Jenny?
A: Rommel is 5 x 3 = 15 years old. Jenny is 15 + 2 = 17 years old. So, Tim is 17 - 5 = 12 years younger than Jenny. The answer is 12.
Question: John buys a vacuum cleaner for $250 and a dishwasher for $450. She has a $75 off coupon. How much did he spend?
Answer:
The combined price was 250 + 450 = $700. So he paid 700 - 75 = $625. The answer is 625.