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15 September, 07:00

How much of a 90% alloy must be combined with 70% gold alloy in order to get 60 ounces of an 85% gold alloy?

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  1. 15 September, 08:35
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    X = amount of 90% alloy

    y = amount of 70% alloy

    x + y = 60

    0.9x + 0.7y = 0.85*60

    0.9x + 0.7 (60 - x) = 0.85*60

    (0.9 - 0.7) x = (0.85 - 0.7) * 60

    x = (0.85 - 0.7) * 60 / (0.9 - 0.7)

    x = 45 ounces

    y = 60 - 45

    y = 15 ounces
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