Question

Write a system of two equations using x and y to represent the following problem. A chemist is mixing two solutions together.

The chemist wants 100 gallons when complete. He is mixing a 24% solution with a 50% solution to get a 36% solution. How many gallons of each will he use?

Answer 1

the answers are 53.85 and 46.15

Answer 2

the equations are
x+y=100
24%x+50%y=36%(100)