Last​ month, Stephen neighbors paid him to take care of their fish when they went on vacation. HeHe spent ​$5 of his earnings on an afternoon snack and ​$17 on a new book.​ Afterward, he had no more than ​$6 left. How can you best describe how much Stephen neighbors paid him​?

Respuesta :

Answer:

Stephen's neighbors paid Stephen no more that $28.

Step-by-step explanation:

Given:

Stephen spent $5 of his earnings on snack.

He spent $17 in a new book.

He is left with no more than $6 left.

To describe how much Stephen's neighbors paid him.

Solution:

Let Stephen's earnings in dollars be = [tex]x[/tex]

Amount left after spending on snacks in dollars = [tex]x-5[/tex]

Amount left after spending on a new book in dollars = [tex]x-5-17[/tex] = [tex]x-22[/tex]

The amount remaining is no more than $6.

Thus, the inequality representing the situation can be given as:

[tex]x-22\leq6[/tex]

Solving for [tex]x[/tex]

Adding 22 both sides.

[tex]x-22+22\leq6+22[/tex]

[tex]x\leq 28[/tex]

Thus, Stephen's neighbors paid Stephen no more that $28.

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