SOLUTION: how much pure acid should be mixed with 5 gallons of a 50% acid solution in order to get an 80% acid solution?

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Question 358546: how much pure acid should be mixed with 5 gallons of a 50% acid solution in order to get an 80% acid solution?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi,
Let x repesent the amount of acid added
.50*5gal +1.00x = .80(5+x)
Simplify and Solve
.50*5gal +1.00x = .80*5+ .8x
.2x = .80*5 - .50*5
.2x =.3*5
.2x = 1.5
x = 7.5gal
checking our answer
2.5gal + 7.5gal = .8* 12.5gal = 10gal