SOLUTION: How many ounces of the two alcohol solutions must be mixed to obtain 82 ounces of a 13.9% solution? _____ ounces of 8% solution _____ ounces of 15% solution

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Question 977523: How many ounces of the two alcohol solutions must be mixed to obtain 82 ounces of a 13.9% solution?
_____ ounces of 8% solution
_____ ounces of 15% solution
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
See here: http://www.algebra.com/my/Mixtures%3A-All-in-Symbols.lesson?content_action=show_dev

You can also handle this in one single variable like this:
v, how much 8% alcohol to use
M-v, how much 15% alcohol to use
M=82
T=13.9
L=8
H=15
-
-
highlight_green%28%28Lv%2BH%28M-v%29%29%2FM=T%29
Lv%2BHM-Hv=MT
Lv-Hv%2BHM=MT
%28L-H%29v=MT-HM
v=%28MT-HM%29%2F%28L-H%29
and because you know L.
highlight%28v=%28HM-TM%29%2F%28H-L%29%29
-
Now just substitute the values for H, M, T, and evaluate v.