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March 26, 2017

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A mixture of water and sucrose is 10% sucrose by weight. How many grams of pure sucrose must be added to a 200-gram sample of this mixture to produce a mixture that is 20% sucrose?

  • Math - ,

    Your original 10%, 200 g mixture has 180 g of water and 20 g of sucrose. Let x be the number of grams of sucrose you need to add. The reqiuorement is

    (20 + x)/180 + x) = 0.20

    Solve for x

  • Math - ,

    But, aren't we adding the x grams to the original 200 ?

    so I would say:
    20+x = .2(200+x)
    for x = 25

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