[Question]At a CD store, 40% of the CDs cost $10 each, and the rest cost $5 each. Prince bought half the CDs sold at $10 each, and all of the CDs sold at $5 each. If the total number of CDs was 200, how much money did Prince spend on buying the CDs?
[Answer]The number of CDs selling at $10 each at the store is 40 / 100 * 200 = 80. This means the store sells 200 - 80 = 120 CDs at $5 each. Prince bought 1 / 2 * 80 = 40 of the CDs selling at $10 each. The total amount of money Prince paid for the 40 CDs selling at $10 each is $40 * 10 = $400. If he bought all the CDs selling at $5 each, he paid a total of $5 * 120 = $600. For all the CDs he bought, Prince spent $600 + $400 = $1000. The answer is 1000.
Q: Pulsar, the shuffle-dancing bear, Polly, the pink prancing poodle, and Petra, the proud portly pachyderm, are entertainers at the Big Top Circus. In one show, Pulsar stands on his two back legs for a total of 10 minutes. Then, Polly stands on her back legs for three times as long as Pulsar. And then, finally, Petra stands of his back legs for one-sixth as long as Polly. What is the combined length of time, in minutes, that the three entertainers stand on their back legs?
A: Polly stands on her back legs for 3 * 10 = 30 minutes. Petra stands on his back legs for 30 / 6 = 5 minutes. In total, the three entertainers stand on their back legs for 10 + 30 + 5 = 45 minutes'. The answer is 45.
Question: Tim owns rental properties. He decides to replace all the locks and needs to get 3 keys per lock. He owns two apartment complexes which each have 12 apartments. How many keys does he need to make?
Answer: There are 2 * 12 = 24 apartments he needs keys for. So he needs 24 * 3 = 72 keys. The answer is 72.
[Question]The American swallow can lift into the air and carry a maximum of 5 pounds of weight, while the European swallow can lift and carry twice the weight as the American swallow. If there was a flock of 90 swallows, containing twice as many American as European swallows, what is the maximum combined weight the flock can carry?
[Answer]If "x" is the number of European swallows, then, for every one European swallow, there would be 2x American swallows. Thus, the total number of swallows would be 2x + x = 90 swallows. Thus, the number of European swallows x = 30. And the number of American swallows is 90 - 30 = 60. A European swallow can carry twice what an American swallow can carry, or 2 * 5 = 10 pounds. 30 European swallows can carry a maximum of 30 * 10 = 300 pounds. 60 American swallows can carry a maximum of 60 * 5 = 300 pounds. Thus, a flock of 90 birds, with 30 European and 60 American swallows, can carry 300 + 300 = 600 pounds. The answer is 600.
Q: An airplane was flying from California to Virginia. The flight started with 124 passengers. They made a layover in Texas. 58 passengers got off and 24 got on. From there, they flew to North Carolina, where 47 people got off and 14 got on, before flying to Virginia. There were also a total of 10 crew members on board for the entire flight. How many people landed in Virginia?
A: They started with 124 passengers. 58 got off and 24 got on so 124 - 58 + 24 = 90. 90 people flew to NC where 47 passengers got off and 14 got on. This flight now had 90 - 47 + 14 = 57. There were also 10 crew members so 57 + 10 = 67 passengers landed in Virginia. The answer is 67.
Question: Samuel is arranging his grandma’s teacups. They are stored in boxes and inside the boxes, they are stacked 5 rows high with 4 cups in each row. Of the 26 boxes in her attic, 6 of the boxes contain pans, half of the remaining boxes contain decorations, and the rest of the boxes contain her teacups. Samuel breaks 2 of the cups every time he picks up one of the boxes. By the time Samuel has taken all of the teacups out of the boxes, how many teacups are left?
Answer:
Taking the boxes of pans out of the total attic boxes shows that 26 boxes – 6 boxes of pans = 20 boxes are either decorations or teacups. Since half of these boxes are decorations, the other half must be made up of 20 boxes / 2 = 10 boxes of teacups. Each box of cups initially has 5 rows x 4 cups = 20 teacups inside. Samuel breaks cups each time he picks up a box, which means each box now contains 20 – 2 = 18 teacups. Therefore, there are 10 boxes * 18 teacups = 180 teacups left. The answer is 180.