Question

A washer and a dryer cost $587 combined. The washer costs $63 less than the dryer. What is the cost of the dryer?

Answer 1

Answer:

The dryer costs $325.

Step-by-step explanation:

Let w represent the cost of the washer and d represent the cost of the dryer.

They cost $587 combined. In other words:

$w+d=587$

The washer costs $63 less than the dryer. Therefore:

$w=d-63$

Thus, we have the system of equations:

$\displaystyle \begin{cases} w+d = 587 \\ w=d-63\end{cases}$

We can solve it using substitution. Substitute the second equation into the first. Hence:

$(d-63)+d=587$

Combine like terms:

$2d-63=587$

Add 63 to both sides:

$2d=650$

And divide both sides by two. Hence:

$d=325$

The dryer costs $325.

Further Notes:

And since the washer is $63 less, the washer costs:

$w=(325)-63=262$

The washer costs $262.