SOLUTION: A lab needs to make 500 gallons of a 34% acid solution. The only solutions available are a 25% acid solution and a 50% acid solution. How many gallons of each solution should be

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Question 880496: A lab needs to make 500 gallons of a 34% acid solution. The only solutions available are a 25% acid solution and a 50% acid solution. How many gallons of each solution should be mixed to make the 34% solution?
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A lab needs to make 500 gallons of a 34% acid solution. The only solutions available are a 25% acid solution and a 50% acid solution. How many gallons of each solution should be mixed to make the 34% solution?
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let x=amount of 25% solution to mix
500-x=amount of 50% solution to mix
..
.25x+50%(500-x)=34%*500
.25x+250-.50x=170
.25x=80
x=320
500-x=180
amount of 25% solution to mix=320 gal.
amount of 50% solution to mix=180 gal