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Math·Problem-Solving and Data Analysis·Ratios, rates, proportional relationships, and units

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$0.10x+0.20y=0.18(x+y)$ 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 an $18\%$ saltwater solution. According to this equation, what volume, in gallons, of the $20\%$ saltwater solution could be mixed with $45.0$ gallons of the $10\%$ saltwater solution to produce an $18\%$ 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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