SOLUTION: A solution containing 12% alcohol is to be mixed with a solution containing 4% alcohol to make 20 gallons of solution containing 9% alcohol. How much of each solution should be

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Question 752225: A solution containing 12% alcohol is to be mixed with a solution
containing 4% alcohol to make 20 gallons of solution containing
9% alcohol. How much of each solution should be used?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A solution containing 12% alcohol is to be mixed with a solution
containing 4% alcohol to make 20 gallons of solution containing
9% alcohol. How much of each solution should be used?
--------
Equation:
alch + alch = alch
----
0.12x + 0.04(20-x) = 0.9*20
-----
12x + 4*20 - 4x = 9*20
8x = 5*20
x = 12.5 gallons (amt. of 12% solution needed)
20-x = 7.5 gallons (amt. of 4% solution needed)
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Cheers,
Stan H.
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