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.