SOLUTION: want to confirm my answer here on mixture quesiton for homework how many gallons of 30% salt solution must be added to 5 gallons of 10% salt solution to yield a solution of 17.5%

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Question 852956: want to confirm my answer here on mixture quesiton for homework
how many gallons of 30% salt solution must be added to 5 gallons of 10% salt solution to yield a solution of 17.5% salt? Whats throwing me is how to set up the 17.5% not knowing how much of that I need.
My answer was 3 gallons.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

how many +highlight_green%28x%29gallons of 30% salt solution must be added to 5 gallons of 10% salt solution 

to yield a +highlight_green%285gal+%2B+x%29solution of 17.5% salt

 .30x + .10(5gal) = .175(5gal + x)

 .30x + .10(5gal) = .175(5gal) + .175x

           x = .075(5gal)/.125 = 3gal