SOLUTION: A 10% alcohol solution is to be combined with a 40% alcohol solution to make 20 liters of a 25% alcohol solution. How many liters of each are needed?

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Question 625907: A 10% alcohol solution is to be combined with a 40% alcohol solution to make 20 liters of a 25% alcohol solution. How many liters of each are needed?
Answer by lwsshak3(11628) About Me  (Show Source):
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A 10% alcohol solution is to be combined with a 40% alcohol solution to make 20 liters of a 25% alcohol solution. How many liters of each are needed?
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let x=amt of 10% solution needed
20-x=amt of 40% solution needed
..
10%x+40%(20-x)=25%*20
.10x+8-.4x=5
-.30x=-3
x=3/.3=10
20-x=10
amt of 10% solution needed=10 liters
amt of 40% solution needed=10 liters