Question

A washer and a dryer cost $905 combined. The washer costs $55 more than the dryer. What is the cost of the dryer?sXХ5?

Answer 1

Given:

Let the washer be represented by w.

Let the dryer be represented by d.

Hence,

`\begin{gathered} A\text{ w}asher\text{ and a dryer cost \$}905 \\ This\text{ means;} \\ w+d=905.........................(1) \\ \\ \\ The\text{ washer costs \$55 more than the dryer} \\ w=d+55..........................(2) \end{gathered}`

Substituting the equation (2) into equation (1);

`\begin{gathered} d+55+d=905 \\ 2d+55=905 \\ 2d=905-55 \\ 2d=850 \\ d=(850)/(2) \\ d=425 \\ \\ \\ Hence,\text{ } \\ w=d+55 \\ w=425+55 \\ w=480 \end{gathered}`

Hence, the cost of the dryer is $425 and the cost of the washer is $480.

Therefore, the cost of the dryer is $425.