Algebra Write and Solve Inequalities in Context

Question

A group of friends wants to go to the amusement park. They have no more than $85 to spend on parking and admission. Parking is $15.25, and tickets cost $11.25 per person, including tax. Write and solve an inequality which can be used to determine x, the number of people who can go to the amusement park.

Answer 1

Since they have no more than $85 we will be using the symbol less than or equal to $85

The equation will be set up as:

Let x represent people

11.25x + 15.25 ≤ 85

11.25x ≤ 85 - 15.25

11.25x ≤ 69.75

Divide both sides by 11.25

x ≤ 6.2

Therefore, 6 people can go to the amusement park.