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2 February, 06:27

If grapes are 92% water and raisins are 20% water by weight, then how much did a quantity of raisins, which currently weighs 10 pounds, weigh when all the raisins were grapes? (Assume that the only difference between their raisin-weight and their grape-weight is water that evaporated during their transformation.)

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  1. 2 February, 06:34
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    If grapes are 92% water and raisins are 20% water by weight, then how much did a quantity of raisins, which currently weighs 10 pounds, weigh when all the raisins were grapes? (Assume that the only difference between their raisin-weight and their grape-weight is water that evaporated during their transformation.)

    a) 25 pounds

    b) 46 pounds

    c) 92 pounds

    d) 100 pounds

    e) 146 pounds

    Since raisins are 20% water, the 10 pounds of raisins are composed of 2 pounds of water and 8 pounds of other stuff.

    Since grapes are 92% water, the 8 pounds of other stuff must constitute 8% of the grapes:

    8 = (8/100) x

    x = 800/8 = 100.

    The correct answer is D.
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