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.

Respuesta :

Answer:

Part a) [tex]x+17.55=26.91[/tex]

Part b) [tex]x=\$9.36[/tex]

Part c) The toaster cost was $9.36

Step-by-step 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

[tex]x+y=26.91[/tex] ----> equation A

[tex]y=17.55[/tex] ----> equation B (given problem)

substitute equation B in equation A

[tex]x+17.55=26.91[/tex] -----> linear equation that models the problem

Part b)  Solve the equation

we have

[tex]x+17.55=26.91[/tex]

Solve for x

Subtract 17.55 both sides

[tex]x=26.91-17.55[/tex]

[tex]x=\$9.36[/tex]

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

The toaster cost was $9.36