Question

A metal worker has several 1-kilogram bars of a metal alloy that contain 25% copper and several 1-kilogram bars that contain 61% copper. How many bars of each type of alloy should be melted and combined to create 54 kilograms of a 49% copper alloy? Set up and solve a system of equations to find the answer.

Answer 1

Let number of 25% copper bars be x and
number of 61% copper bars be y.
They are combined to form 54 kilograms of a 49% copper alloy.

x + y = 54
0.25x + 0.61y = 54 * 0.49 (copper content)

Solve the two equations.

Answer 2

x=18 and y=36?

Answer 3

thanks! @aum