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Math·Algebra·Linear equations in one variable

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$$0.10x+0.20y=0.17(x+y)$$

The equation gives a volume $x$, in gallons, of a 10% saltwater solution that could be mixed with a volume $y$, in gallons, of a 20% saltwater solution to produce a 17% saltwater solution. According to this equation, what volume, in gallons, of the 20% saltwater solution could be mixed with 75.0 gallons of the 10% saltwater solution to produce a 17% saltwater solution? (Assume that the volume of the mixture is the sum of the volumes of the two solutions before they were mixed.)

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175