Question

PLEASE HELP!

Kelly spent &26.91 at a yard sale. She bought a toaster and vacuum. The vacuum cost &17.55. How much did the toaster

a. Write an equation that models the problem

b. Solve the equation

c. Write your answer in the form a sentence.

Answer 1

Part a)
`x+17.55=26.91`

Part b)
`x=\$9.36`

Part c) The toaster cost was $9.36

Explanation:

Part a) Write an equation that models the problem

Let

x ----> the cost of the toaster

y ----> the cost of the vacuum

we know

The cost of the toaster plus the cost of the vacuum must be equal to money that Kelly spent at a yard sale

so

`x+y=26.91` ----> equation A

`y=17.55` ----> equation B (given problem)

substitute equation B in equation A

`x+17.55=26.91` -----> linear equation that models the problem

Part b) Solve the equation

we have

`x+17.55=26.91`

Solve for x

Subtract 17.55 both sides

`x=26.91-17.55`

`x=\$9.36`

Part c) Write your answer in the form a sentence.

The toaster cost was $9.36