Answer:
0.125 galon of 35% acid solution
Step-by-step explanation:
0.5 gallon of a 10% acid solution
10%•0.5 = 0.05 gallon of acid in that solution
x gallon of 35% acid solution
35%•x = 0.35x gallons of acid in that solution
0.05 + 0.35x total of gallons of acid in both solutions
(0.5+x) gallons of 15% acid solution
15%(0.5+x) = 0.15(0.5+x) gallons of acid in that solution
the amount of gallons of acid didn't change after mixing, so:
0.05 + 0.35x = 0.15(0.5 + x)
0.05 + 0.35x = 0.075 + 0.15x
0.35x - 0.15x = 0.075 - 0.05
0.2x = 0.025
×5 ×5
x = 0.125
