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24 June, 06:04

Alloy, c, weighing 500 ounces and having 35% aluminum, is obtained from melting together x ounces of alloy, a, containing 25% aluminum, and y ounces of alloy, b, containing 40% aluminum. Write an equation showing the ounces of alloy a and b that can be used to obtain alloy c.

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  1. 24 June, 09:57
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    From the given scenario in this item, we can say that the sum of x and y is 500. By the aluminum balance, the equation that we can formulate from this,

    0.25x + 0.40y = (500) (0.35)

    The system of linear equations that can best express the given is,

    x + y = 500

    0.25x + 0.40y = 175
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