How much of a 50% Alcohol solution should we mix with 10 gallons of 35% solution to get 40% solution
Amouunt of 50% solution + amount of 35% solution = total amount at 40%
So wwe have
.50x + .35 (10) = .40 (x + 10) simplify
.50x + 3.5 = .40x + 4 subtract ,40x , 3.5 from both sides
.10x = .5 divide both sides by .10
x = 5 gallons of the 50% solution