Julie has $300 to plan a dance. There is a one-time fee of $75 to reserve a room. It also costs $1.5

Julie has $300 to plan a dance. There is a one-time fee of $75 to reserve a room. It also costs $1.50 per person for food and drinks. What is the maximum number of people that can come to the dance?

Let each person be p. We have the following relationship for cost:
1.50p + 75 <=300

We use the <= sign since we cannot go over the $300 budget.

We type this inequality into our search engine, and we get:
p <= 150

Since we have the equal sign within the inequality, the maximum number of people that can come to the dance is 150.