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.

Question

Jerimiah Kim

Mathematics

5 August, 10:26

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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Answers (1)

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Jared Haynes · Answer 1

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