Algebra Metal Alloy Word Problem

Question

A metalworker has a metal alloy that is 30​% copper and another alloy that is 60​% copper. How many kilograms of each alloy should the metalworker combine to create 80 kg of a 54​% copper​ alloy?

Answer 1

60x + 30(80-x) = 54(80) = 4320

60x -30x = 4320-2400 = 1920

30x = 1920

3x = 192

x = 64 kg of 60%

80-64 = 16 kg of 30%

will yield 80 kg of 54%