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question:Alan likes to support music creators, so instead of downloading songs from the internet, he visits a record store once in a while. He decided now to buy 2 CDs by "The Dark", 1 CD by the creator "AVN", and 5 CDs that are mixes of songs from the 90s. The price of the "AVN" CD is 12 and it is half the price of one CD by "The Dark". The 5 CDs of 90s music cost is x% of all the cost of all other CDs Alan is going to buy. How much will Alan have to pay for all the products? If we know the answer to the above question is 84, what is the value of unknown variable x?

answer:The price of the "AVN" CD is 12 and it is half the price of one CD by "The Dark", so one CD by "The Dark" is 12 * 2 = 24. Alan is going to buy 2 CDs by "The Dark", so the total cost of the CDs by "The Dark" is 2 * 24 = 48. The price of the 5 CDs of 90s music is x% of the cost of all other CDs, which means the cost of the 5 CDs of 90s music is (x/100) * (48 + 12) = (x/100) * 60 = 0.6x. The total cost of all the products is the sum of the cost of the CDs by "The Dark", the cost of the "AVN" CD, and the cost of the 5 CDs of 90s music: 48 + 12 + 0.6x. We are given that the total cost is 84, so we can write: 48 + 12 + 0.6x = 84. Simplifying the left side, we get: 60 + 0.6x = 84. Subtracting 60 from both sides, we get: 0.6x = 24. Dividing both sides by 0.6, we get: x = 40. The value of x is 40. 40 The answer is: 40

question:There were 100 jelly beans in a bag to be given away on Halloween. Out of the 40 children taking part in the Halloween celebration, 80% were allowed to draw jelly beans from the bag. Each child drew two jelly beans out of the bag. How many jelly beans remained in the bag after the children took their share?

answer:Out of the 40 children, 80% were allowed to draw jelly beans, so 80/100 * 40 = 32 children were allowed to draw jelly beans. Each child drew two jelly beans, so a total of 32 * 2 = 64 jelly beans were drawn. There were originally 100 jelly beans in the bag, so after the children took their share, there were 100 - 64 = 36 jelly beans remaining. 36 The answer is: 36

question:Alyssa and Abigail need to collect 100 empty cans for their Science project. As of today, Alyssa collected 30 while Abigail collected 43 empty cans. How many more empty cans should they collect?

answer:Alyssa has already collected 30 cans and Abigail has collected 43 cans, so together they have collected 30 + 43 = 73 cans. They need to collect 100 cans in total, so they still need to collect 100 - 73 = 27 more cans. 27 The answer is: 27

question:A quarterback steps back to throw 80 times in a game. 30 percent of the time he does not get a pass thrown. Half of the times that he does not throw the ball he is sacked for a loss. How many times is the quarterback sacked for a loss in the game?

answer:30% of the time the quarterback does not throw the ball, so he does not get sacked for a loss in 30% of 80 throws, which is 0.3 * 80 = 24 times. Half of the times that he does not throw the ball, he is sacked for a loss, so he is sacked for a loss in 24/2 = 12 times. Therefore, the quarterback is sacked for a loss 12 times in the game. 12 The answer is: 12