SOLUTION: How many gallons of 32% solution must be mixed with 70 gallons of 47% solution to obtain a 42% solution?

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Question 97358: How many gallons of 32% solution must be mixed with 70 gallons of 47% solution to obtain a 42% solution?
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
(0.32x + 0.47*70)/(x + 70) = 0.42
0.32x + 0.47*70 = 0.42(x + 70)
0.32x + 32.9 = 0.42x + 29.4
3.5 = .1x
35 gallons