SOLUTION: you have a 70% alcohol solution and a 20% alcohol solution and want to make 20 ounces of a 50% soultion by mixing the two. How many ounces of the 70% soultion would u use?

Question 544050: you have a 70% alcohol solution and a 20% alcohol solution and want to make 20 ounces of a 50% soultion by mixing the two. How many ounces of the 70% soultion would u use?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = ounces of 70% solution needed
Let = ounces of 20% solution needed
given:
= alcohol in 70% solution
= alcohol in 20% solution
-----------------------------
In words:
( ounces of alcohol in 70% and 20% solutions) / ( ounces in final mixture ) = 50%
given:
(1)
(2)
----------------------
(2)
(2)
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)

and, since
(1)
(1)
(1)
12 ounces of 70% solution and 8 ounces of 20% solution are needed
check answer:
(2)
(2)
(2)
(2)
OK
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