Question

pls help a washer and a dryer cost $649 combined.The washer costs $51 less than the dryer.What is the cost of the dryer?

Answer 1

Given in the question:

a.) A washer and a dryer cost $649 combined.

b.) The washer costs $51 less than the dryer.

From the given description, let's transform them into an equation.

Let,

x = Cost of washer

y = Cost of dryer

a.) A washer and a dryer cost $649 combined.

`\text{ x + y = \$649}`

b.) The washer costs $51 less than the dryer.

`\text{ x = y - \$51}`

From the generated equation, substitute x = y - $51 to x + y = $649.

We get,

`\text{ x + y = \$649}`
`\text{ (y - \$51) + y = \$649}`
`\text{ y - \$51 + y = \$649}`
`\text{ 2y = \$649 + \$51}`
`\text{ 2y = \$7}00`
`\text{ }\frac{\text{2y}}{2}\text{ = }\frac{\text{\$7}00}{2}`
`\text{ y = \$350}`

Therefore, the cost of the dryer is $350.

Let's find the cost of the washer.

`\text{ x = y - \$51}`
`\text{ x = \$350 - \$51}`
`\text{ x = \$}299`

Therefore, the cost of the washer is $299.