Calculating the Cost of a Dryer

Question:

What is the cost of the dryer if a washer and a dryer cost $805 combined and the washer costs $95 less than the dryer?

Answer:

The cost of the dryer is $450.

Explanation:

Let's represent the cost of the dryer as x. According to the information given, the washer costs $95 less than the dryer, so the cost of the washer can be represented as x - $95. The combined cost of the washer and dryer is $805, so we can set up the equation:

x + (x - $95) = $805

Simplifying the equation, we get:

2x - $95 = $805

Adding $95 to both sides, we have:

2x = $900

Dividing both sides by 2, we find that the cost of the dryer is $450.