SOLUTION: How many gallons of 30% alcohol solution and 45% alcohol solution must be mixed to get 9 gallons of 35% alcohol solution?

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: How many gallons of 30% alcohol solution and 45% alcohol solution must be mixed to get 9 gallons of 35% alcohol solution?      Log On


   

Question 906801: How many gallons of 30% alcohol solution and 45% alcohol solution must be mixed to get 9 gallons of 35% alcohol solution?
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!

a+b=9,
0.3*a+0.45*b=0.35*9
a=9-b
0.3*(9-b)+0.45*b=3.15
2.7-0.3b+0.45*b=3.15
0.15*b=0.45
b=3
a=9-b
a=6 gal at 30%
b=3 gal at 45%
check
0.3*6+0.45*3=0.35*9
1.8+1.35=3.15
3.15=3.15
ok