math

how much water is needed to add to a half-pint of syrup with 60% sugar to obtain a drink with 5% sugar?

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asked by Deidre
  1. 0.6*8 = 4.8 0z of sugar.
    8-4.8 = 3.2 oz of water.

    Sugar = 5%.
    %Water = 100-5 = 95.

    (3.2+w)/(4.8 + (w+3.2)) = 0.95
    Cross multiply:
    3.2+w = 4.56+0.95w+3.04
    w-.95w = 4.56+3.04
    0.05w = 7.6
    W = 88 oz. of water added.

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    posted by Henry

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