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?
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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
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(1)
(2)
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(2)
(2)
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)
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and
(1)
(1)
(1)
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209 liters of 53% alcohol are needed
132 liters of 22% alcohol are needed
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check:
(2)
(2)
(2)
OK
