The given information is:
- A washer and a dryer cost $731 combined.
- The washer costs $81 more than the dryer.
We need to find the cost of the dryer.
We can call the cost of the washer x and the cost of the dryer y, then:
[tex]x+y=731\text{ Equation 1}[/tex]And also:
[tex]x=81+y\text{ Equation 2}[/tex]Replace equation 2 into equation 1 and solve for y:
[tex]\begin{gathered} (81+y)+y=731 \\ 81+2y=731 \\ 2y=731-81 \\ 2y=650 \\ y=\frac{650}{2} \\ y=325 \end{gathered}[/tex]As we said y is the cost of the dryer, then the dryer costs $325.
