Two Step Equations and Inequalities

Question

The student council wants to book a DJ for the upcoming school dance. The DJ's set-up fee is $275 and he charges $75 for each additional hour. Suppose the student council raises $575. What is the maximum number of hours for which they can reserve the DJ? Write an inequality to represent the given situation.

Answer 1

275 + 75h = 575

11 + 3h = 23

3h = 23-11= 12

h = 12/3 = 4 hours maximum on a $575 budget limit

275+75(4)

= 275 + 300

= 575