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navik [9.2K]
3 years ago
8

Alloy, c, weighing 500 ounces and having 35% aluminum, is obtained from melting together x ounces of alloy, a, containing 25% al

uminum, 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.
Mathematics
1 answer:
boyakko [2]3 years ago
3 0
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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