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25 May, 11:00

A metalworker has a metal alloy that is 15% copper and another alloy that is 75% copper. How many kilograms of each alloy should the metal worker combine to create 90 kilograms of a 51% copper alloy?

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  1. 25 May, 11:18
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    X + y = 90

    y = 90 - x

    0.15 x + 0.75 y = 0.51 (90)

    0.15 x + 0.75 (90-x) = 0.51 (90)

    0.15x + 67.5 - 0.75x = 45.9

    21.6 = 0.6 x

    x = 36 kg - - 15% Cu

    y = 90 - x

    y = 90 - 36

    y = 54 kg - - 75% Cu
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