\(0.10x+0.20y=0.18(x+y)\) The equation gives a volume \(x\), in gallo…

Question

Prompt

0.10 x + 0.20 y = 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.)