SOLUTION: Suppose you have a supply of a 25% solution of alcohol and a 75% solution Of alcohol. How Many quarts of Each Should be mixed to produce 40 quarts that is 70% produce? I need help

Question 779078: Suppose you have a supply of a 25% solution of alcohol and a 75% solution Of alcohol. How Many quarts of Each Should be mixed to produce 40 quarts that is 70% produce? I need help setting this problem up.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = quarts of 25% alcohol solution needed
Let = quarts of 75% alcohol solution needed
---------------
(1)
(2)
----------------------------
(2)
(2)
(2)
Multiply both sides of (1) by and subtract
(1) from (2)
(2)
(1)

and, since
(1)
(1)
---------------
4 quarts of 25% alcohol solution are needed
36 quarts of 75% alcohol solution are needed
---------------
check:
(2)
(2)
(2)
(2)
OK

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