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

ok so the amounts are x and 100-x

0.24x+0.5(100-x)=0.36(100)
solve
0.24x+50-0.5x=36
-0.26x+50=36
mminus 36 both sides
-0.26x=-14
divide both sides by -0.26
x=53.8462

find other one
100-x=100-53.8462=46.1538


53.8462 gallons of the 24%
46.1538 gallons of the 50%