SOLUTION: Suppose that you have a supply of a 40% solution of alcohol and a 60% solution of alcohol. How many quarts of each should be mixed to produce 90 quarts that is 50% alcohol?

Question 658959: Suppose that you have a supply of a 40% solution of alcohol and a 60% solution of alcohol. How many quarts of each should be mixed to produce 90 quarts that is 50% alcohol?

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = quarts of 40% solution needed
Let = quarts of 60% solution needed
given:
(1)
(2)
--------------------------
(2)
(2)
(2)
--------------------
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)

and, since
(1)
(1)
(1)
45 quarts of 40% solution are needed
45 quarts of 60% solution are needed
check:
(2)
(2)
(2)
(2)
(2)
OK
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