SOLUTION: How much of 40% alcohol and how much of 80% solution should be mixed to give 40 gallons of 50% solution?
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Question 770735: How much of 40% alcohol and how much of 80% solution should be mixed to give 40 gallons of 50% solution?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = gallons of 40% solution needed
Let = gallons of 80% solution needed
= gallons of alcohol in 40% solution
= gallons of alcohol in 80% solution
----------------------
(1)
(2)
--------------------------
(2)
(2)
(2)
(2)
Subtract (1) from (2)
(2)
(1)
and, since
(1)
(1)
30 gallons of 40% solution are needed
10 gallons of 80% solution are needed
check:
(2)
(2)
(2)
(2)
OK
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