Question

A group of friends wants to go to the amusement park. They have no more than $125 to spend on parking and admission. Parking is $16.75, and tickets cost $20.25 per person, including tax. Which inequality can be used to determine xx, the maximum number of people who can go to the amusement park?

Answer 1

The maximum number of people who can go to the amusement park is 5.

Step-by-step explanation:

To determine the maximum number of people who can go to the amusement park with the given budget, we need to find the sum of the parking and admission costs and then divide the total budget by the cost per person. Since parking is $16.75 and tickets cost $20.25 per person, the inequality that represents this situation is:

16.75 + 20.25x ≤ 125

where x represents the number of people. We can solve this inequality to find the maximum number of people:

16.75 + 20.25x ≤ 125

20.25x ≤ 125 - 16.75

20.25x ≤ 108.25

x ≤ 108.25 / 20.25

x ≤ 5.35