SOLUTION: A solution of 53% alcohol is to be mixed with a solution of 22% alcohol to yield 341 Liters of a 41% solution. How many Liters of 53% solution must be used?

Question 955061: A solution of 53% alcohol is to be mixed with a solution of 22% alcohol to yield 341 Liters of a 41% solution. How many Liters of 53% solution must be used?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = liters of 53% alcohol needed
Let = liters of 22% alcohol needed
------------------------------------
(1)
(2)
------------------------------
(2)
(2)
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)
--------------------------

and
(1)
(1)
(1)
----------------
209 liters of 53% alcohol are needed
132 liters of 22% alcohol are needed
---------------------------------
check:
(2)
(2)
(2)
OK

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