Question

Stephanie wants to make 22.5 qt. of a 20%

alcohol solution by mixing together a 6%

alcohol solution and a 36% alcohol solution.

How much of each solution must she use?

Answer 1

y = 10.5qt

x = 12 qt

Explanation:

0.6x+ 0.36y = 22.5 * 0.2

0.06x + 0.36y = 4.5

x + y = 22.5

x = 22.5 - y

0.06(22.5 - y) + 0.36y = 4.5

1.35 - 0.06y + 0.36y = 4.5

0.3y = 4.5 - 1.35

0.3y = 3.15

y = 3.15 / 0.3

y = 10.5 qt

x = 22.5 - y

x = 22.5 - 10.5

x = 12 qt