Question 538171: How many ounces of 17 % alcohol solution and 39 % alcohol solution must be combined to obtain 88 ounces of 31% solution? Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website! Let = ounces of 17% solution needed
Let = ounces of 39% solution needed
given: = ounces of alcohol in 17% solution = ounces of alcohol in 39% solution
= ounces of alcohol in final solution
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(1)
(2)
(2)
(2)
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)
and, since
(1)
(1)
(1)
32 ounces of 17% solution are needed
56 ounces of 39% solution are needed
check:
(2)
(2)
(2)
(2)
OK
