Question

A metalworker has a metal alloy that js 15% copper and another alloy that is 60% copper. How many kilograms of each alloy should the metalworker combine to create 69kg of a 51% copper alloy? The metalworker should use __ kilograms of metal alloy that is 15% copper and __ kilograms of the metal alloy that is 60% copper

Answer 1

.15c + .60(69 - c) = .51(69)

.15c + 41.4 - .60c = 35.19

.45c = 6.21

c = 13.8 kg of 15% copper alloy

69 - 13.8 = 55.2 kg of 60% copper alloy