SOLUTION: How much of Brand A fruit punch (16% fruit juice) must be mixed with 5 gal. of apple juice to create a mixture containing 51% fruit juice?

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Question 774044: How much of Brand A fruit punch (16% fruit juice) must be mixed with 5 gal. of apple juice to create a mixture containing 51% fruit juice?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
H = 100%, the apple juice
L = 16%, the fruit punch at 16% fruit juice
T = 51% fruit juice
C = 5 gal., the available apple juice
v = unknown gallons of the fruit punch to add

%28C%2AH%2Bv%2AL%29%2F%28v%2BC%29=T SOLVE FOR v.
CH%2BLv=Tv%2BTC
Lv-Tv=TC-CH
Multiply by -1, both sides,
Tv-Lv=CH-CT
v%28T-L%29=C%28H-T%29
highlight%28v=C%28%28H-T%29%2F%28T-L%29%29%29

SUBSTITUTE THE GIVEN VALUES TO COMPUTE v.