SOLUTION: How many ounces of a 50 percent alcohol solution must be mixed with 80 ounces of a 20 percent alcohol solution to make a 40 percent alcohol solution?

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Question 263218: How many ounces of a 50 percent alcohol solution must be mixed with 80 ounces of a 20 percent alcohol solution to make a 40 percent alcohol solution?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
How many ounces of a 50 percent alcohol solution must be mixed with 80 ounces of a 20 percent alcohol solution to make a 40 percent alcohol solution?
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Equation:
alcohol + alcohol = alcohol
0.20*80 + 0.50x = 0.40(80+x)
Multiply thru by 100 to get:
20*80 + 50x = 40*80 + 40x
10x = 20*80
x = 2*80
x = 160 ounces (amt. of 50% solution needed for the mixture)
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Cheers,
Stan H.