SOLUTION: Gus has on hand 5% alcohol solution and a 20% alcohol solution. He needs 30 liters of 10% alcohol solution. How many liters of each solution should he mix together to obtain the mi

Question 720623: Gus has on hand 5% alcohol solution and a 20% alcohol solution. He needs 30 liters of 10% alcohol solution. How many liters of each solution should he mix together to obtain the mixture he needs?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = liters of 5% solution needed
Let = liters of 20% solution needed
-----------
(1)
(2)
---------------------------
(2)
(2)
Multiply both sides of (1) by and
subtract (1) from (2)
(2)
(1)

and, since
(1)
(1)
20 liters of 5% solution are needed
10 liters of 20% solution are needed
check answer:
(2)
(2)
(2)
(2)
OK

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