Question

A washer and a dryer cost $797 combined. The washer costs $47 more than the dryer. What is the cost of the dryer?

Answer 1

The cost of the dryer can be found by setting up the equation 2D + $47 = $797, where D is the cost of the dryer. Solving the equation reveals that the dryer costs $375.

Step-by-step explanation:

To solve for the cost of the dryer, we can set up two equations based on the information given:

Let D be the cost of the dryer.

Then, the cost of the washer is

D + $47.

Combined, their total cost is

D + (D + $47) = $797.

Combining like terms gives us

2D + $47 = $797.

Subtracting $47 from both sides gives us

2D = $797 - $47.

2D = $750.

Dividing both sides by 2 gives us

D = $375.

The cost of the dryer is $375.

Answer 2

$375

Explanation:

• Let the cost of the dryer = d

The washer costs $47 more than the dryer, therefore:

• The cost of the washer = d+47

The combined cost of the washer and dryer = $797

Therefore:

`\begin{gathered} Cost\; of\; \text{Washer}+\text{Cost of Dryer}=\$797 \\ d+47+d=797 \\ 2d=797-47 \\ 2d=750 \\ \text{Divide both sides by 2} \\ (2d)/(2)=(750)/(2) \\ d=\$375 \end{gathered}`

The cost of the dryer is $375.