Q: A conference center has six rooms. Each room can hold up to 80 people. Today, the conference center is only 2/3 full. How many people are in the conference center?
A: The conference center can hold up to 80 x 6 = 480 people. Today, there are 480 x 2 / 3 = 320 people in the conference center. The answer is 320.
Question: Cameron is printing her thesis in the school library and has 400 A4 pieces of paper. If 40% of the papers did not print out up to her desired quality and she separated them as invalid, calculate the total number of valid documents.
Answer: If she had 400 papers, the total number of documents she separated as invalid is 40 / 100 * 400 pages = 160 pages. The number of valid documents is 400 pages - 160 pages = 240 pages. The answer is 240.
[Question]Marky owns a computer accessory shop. For this month, half of their sales are wireless mice, one-fourth are optical mice, and the rest are trackball mice. If Marky's shop was able to sell a total of 80 mice, how many of them are trackball mice?
[Answer]There were 80 / 2 = 40 wireless mice sold. There were 80 / 4 = 20 optical mice sold. So, there were a total of 40 + 20 = 60 wireless and optical mice sold. Therefore, 80 - 60 = 20 trackball mice were sold this month. The answer is 20.
Q: Kirsty collects small models of animals. The last time she bought some, each one cost $0.45. She saves enough to buy 30 models, but when she goes to the shop, she finds out that the price had increased to $0.50. How many models can she buy now?
A: Kirsty has 0.45 30 = $13.50 to spare to buy her models. She can only buy 13.50 0.50 = 27 models as the price of each individual model has increased. The answer is 27.
Question: A coach placed 15 tennis balls and 5 soccer balls each into 5 baskets. He gave 5 of his students a short period of time to remove as many balls each from a basket as they could. 3 of them removed 8 balls each and the other 2 removed a certain number of balls each. If a total of 56 balls are still in the baskets, how many balls did the other 2 students each remove?
Answer: Combining the tennis and soccer balls, there are 15 + 5 = 20 balls in each basket. There are 5 baskets, hence 5 * 20 = 100 balls in total. 3 students removed 8 balls each, they removed 3 * 8 = 24 balls. From the total number of balls, they left 100 - 24 = 76 balls. There are 56 balls left so the other 2 students must have removed a total of 76 - 56 = 20 balls. This means that each of these 2 students removed 20 / 2 = 10 balls. The answer is 10.
Q: Aaron wants to purchase a guitar under a payment plan of $100.00 per month for 12 months. His father has agreed to lend him the entire amount for the guitar, plus a one-time 10% interest fee for the entire loan. With interest, how much money will Aaron owe his dad?
A:
The guitar costs $100 every month for 12 months so it costs 100 * 12 = $1200. His dad is charging him 10% interest on the $1200 so interest comes to .10 * 1200 = $120.00. All total, Aaron will owe his father the price of the guitar, $1200 and the interest, $120 so 1200 + 120 = $1,320.00. The answer is 1320.