SOLUTION: MX Labs 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 may gallons of each solution should be

Question 181371: MX Labs 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 may gallons of each solution should be mixed to make the 34% solution?
Answer by Mathtut(3670) (Show Source): You can put this solution on YOUR website!
MX Labs 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 may gallons of each solution should be mixed to make the 34% solution?
:
let x and y be the amount of 25% and 50% solutions used respectively
:
x+y=500.............eq 1
.25x+.5y=.34(500)...eq 2
:
rewrite eq 1 to x=500-y and plug it into eq 2
:
.25(500-y)+.5y=170
:
125-.25y+.5y=170
:
.25y=45
:
gallons of 50% solution
:
gallons of 25% solution
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