SOLUTION: How many ounces of a 38% alcohol solution and a 43% alcohol solution must be combined to obtain 65 ounces of a 42% solution?

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Question 1021966: How many ounces of a
38% alcohol solution and a
43% alcohol solution must be combined to obtain
65 ounces of a
42% solution?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
How many ounces of a
38% alcohol solution and a
43% alcohol solution must be combined to obtain
65 ounces of a
42% solution?
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Equation::
alc + alc = alc
0.38x + 0.43(65-x) = 0.42*65
--------
38x + 43*65 - 43x = 42*65
------
-5x = -1*65
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x = 13 oz (amt. of 38% solution needed)
65-x = 52 oz (amt. of 43% solution needed)
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Cheers,
Stan H.
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