SOLUTION: How many gallons of 10% alcohol solution and 75% alcohol solution must be mixed to get 25 gallons of 50% alcohol solution?

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Question 679662:
How many gallons of 10% alcohol solution and 75% alcohol solution must be mixed to get 25 gallons of 50% alcohol solution?
Answer by checkley79(3341) About Me  (Show Source):
You can put this solution on YOUR website!
.10X+.75(25-X)=.50*25
.10X+18.75-.75X=12.50
-.65X=12.50-18.75
-.65X=-6.25
X=-6.25/-.65
X=9.6154 GALLONS OF 10% ALCOHOL IS USED.
.10*9.6154+.75(25-9.615=.50*25
.96154+.75*15.385=12.50
.96154+11.538=12.50
12.50=12.50