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