SOLUTION: How many gallons of 15% alcohol solution and 60% alcohol solution must be mixed to get 9 gallons of 30% alcohol solution?

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Question 656682: How many gallons of 15% alcohol solution and 60% alcohol solution must be mixed to get 9 gallons of 30% alcohol solution?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

 
Hi,
How many gallonshighlight%289-x%29 of 15% alcohol solution and 60% alcohol solutionhighlight%28x%29 must be mixed
to get 9 gallons of 30% alcohol solution?
Mixing...............
.60x + .15(9-x) = .30·9gal
.45x = .15·9
x = 3gal, amount of the 60% alcohol solution. 6gal of 15% alcohol solution
and...
.6%2A3+%2B+.15%2A6+=++1.8+%2B+.9+=+.3%2A9+=+2.7