SOLUTION: how many gallons of an 80% antifreeze solution must be mixed with 100 gallons of 10% antifreeze to get a mixture that is 70% antifreeze?

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Question 650682: how many gallons of an 80% antifreeze solution must be mixed with 100 gallons of 10% antifreeze to get a mixture that is 70% antifreeze?
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
how many gallons of an 80% antifreeze solution must be mixed with 100 gallons of 10% antifreeze to get a mixture that is 70% antifreeze?
.
Let x = amount (gallons) of 80% antifreeze added
then
.80x + .10(100) = .70(x + 100)
.80x + 10 = .70x + 70
.10x + 10 = 70
.10x = 60
x = 60/.10
x = 600 gallons