SOLUTION: how many ounces of 16% alcohol solution and a 28% alcohol solution must be combined to obtain 52 ounces of 19% solution

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Question 862995: how many ounces of 16% alcohol solution and a 28% alcohol solution must be combined to obtain 52 ounces of 19% solution
Found 2 solutions by josgarithmetic, richwmiller:
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
IF you mean FLUID ounces, and IF percents are as volume per volume, then you can use these two equations:

u = volume of 16%
v = volume of 28%

%2816u%2B28v%29%2F52=19 and u%2Bv=52;

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
.16x+.28y=.19*52,
x+y=52
x=39., y=13.