SOLUTION: how many gallons of a 2% salt solution must be mixed with 100 gallons of a 8% salt solution to obtain a 3% salt solution?

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Question 1027401: how many gallons of a 2% salt solution must be mixed with 100 gallons of a 8% salt solution to obtain a 3% salt solution?
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Call the number of gallons of 2% salt solution, x.
Then the setup looks like this:
.02x + .08(100) = .03(100 + x)
Now we solve for x.
.02x + 8 = 3 + .03x
Subtract 3 and subtract .02x from both sides and get
5 = .01x
Divide by .01 and get
x = 500 gallons of 2% salt solution