SOLUTION: How many gallons of a liquid that is 74 percent alcohol must be combined with 5 gal of another that is 90 percent alcohol to obtain a mixture that is 84 percent alcohol?

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Question 511841: How many gallons of a liquid that is 74 percent alcohol must be combined with 5 gal of another that is 90 percent alcohol to obtain a mixture that is 84 percent alcohol?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
How many gallons of a liquid that is 74 percent alcohol must be combined with 5 gal of another that is 90 percent alcohol to obtain a mixture that is 84 percent alcohol?
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Equation:
alcohol + alcohol = alcohol
0.74x + 0.90*5 = 84*(x+5)
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Multiply thru by 100 to get:
74x + 90*5 = 84x + 84*5
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10x = 6*5
x = 3 gallons (amt. of 74% solution needed)
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Cheers,
Stan H.