Mixture Problem

Question

A copper alloy that is 35% copper is to be combined with an ally that is 75% copper. The result will be 750 kg of an alloy that is 60% copper. How many kg of each alloy should be used?

Answer 1

Let x = amount of 35% alloy

Then, 750 - x = amount of 75% alloy

0.35x + 0.75(750 - x) = 0.60(750)

0.35x + 562.5 - 0.75x = 450

-0.40x = -112.5

x = 281.25

Use 281.25 kg of 35% alloy and 468.75 kg of 75% alloy.