SOLUTION: How many ounces of a 35% alcohol solution and a 38% alcohol solution must be combined to obtain 63 ounces of a 36% solution?

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Question 543131: How many ounces of a 35% alcohol solution and a 38% alcohol solution must be combined to obtain 63 ounces of a 36% solution?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
percent ---------------- quantity
Alcohol I 35 ---------------- x Oz
Alcohol II 38 ------ 63 - x Oz
Mixture 36.00% ---------------- 63

35 x + 38 ( 63 - x ) = 36 * 63

35 x + 2394 - 38 x = 2268
35 x - 38 x = 2268 - 2394
-3 x = -126
/ -3
x= 42Oz 35.00% Alcohol I
21Oz 38.00% Alcohol II

m.ananth@hotmail.ca