A washer and a dryer cost $597 combined. The washer costs $53 less than the dryer. What is the cost of the dryer?

Let's denote the cost of the dryer as $ D $ and the cost of the washer as $ W $.

We are given the following information:

1. The washer and dryer together cost $597: 
   \[
   W + D = 597
   \]
   
2. The washer costs $53 less than the dryer: 
   \[
   W = D - 53
   \]

Now, we can substitute the second equation into the first equation:

\[
(D - 53) + D = 597
\]

Simplify the equation:

\[
2D - 53 = 597
\]

Add 53 to both sides:

\[
2D = 650
\]

Now, divide by 2:

\[
D = 325
\]

So, the cost of the dryer is **$325**.

Would you like any details or have any questions?

Here are some related questions:

1. What is the cost of the washer?
2. How would the solution change if the washer cost $100 less than the dryer?
3. What if the total cost was different, say $700? How would that affect the solution?
4. How can you check your answer to ensure it's correct?
5. What if the washer was more expensive than the dryer?

**Tip:** When solving word problems, clearly define the variables and translate the problem's conditions into equations.

Learn how to solve a linear equation problem involving the costs of a washer and dryer. Understand how to define variables, set up equations, and solve for unknown values. Suitable for students in Grades 7-9.

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