SOLUTION: how many gallons of a 70% alcohol solution must be mixed with 30 gallons of a 12% solution to obtain a solution that is 60% alcohol?

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Question 934170: how many gallons of a 70% alcohol solution must be mixed with 30 gallons of a 12% solution to obtain a solution that is 60% alcohol?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
how many gallons of a 70% alcohol solution must be mixed with 30 gallons of a 12% solution to obtain a solution that is 60% alcohol?
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Equation::
alch + alch = alch
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0.70x + 0.12*30 = 0.60(x+30)
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70x + 12*30 = 60x + 60*30
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10x = 48*30
x = 144 gallons (amt. of 70% solution needed)
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Cheers,
Stan H.
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