Question

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​?

Answer 1

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

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 =
`x`

Amount left after spending on snacks in dollars =
`x-5`

Amount left after spending on a new book in dollars =
`x-5-17` =
`x-22`

The amount remaining is no more than $6.

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

`x-22\leq6`

Solving for
`x`

Adding 22 both sides.

`x-22+22\leq6+22`

`x\leq 28`

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