Answer:
You will need 12.5 gallons of the 22% salt solution and 7.5 gallons of the 38% of the salt solution
Step-by-step explanation:
.22x + .38(20 -x) = .28(20) I want to clear the decimal, so I will multiple through by 100
100[.22x + .38(20-x)] = [.28(20)]100
22x + 38(20-x) = 28(20) Distribute the 38
22x + 760 -38x = 560 combine the x's
-16x + 720 = 560 Subtract 720 from both sides
-16x = -200 Divide both sides by -16
x = 12.5
20 - 12.5 = 7.5