# The Mixture Problem

The Mixture Problem

The mixture problem is a classic problem encountered in most algebra courses. It is solved by a simple application of linear equations.

The problem is stated as follows: given a solution of volume with concentration percent mixed with a solution of volume with concentration percent, we obtain a solution of volume with concentration percent. If , , , and are known, find .

x

m

y

n

x+y

p

n

p

x

y

m

Concentrations out of the range 0–100% simply mean that the given mixture is not possible in practice.