Question

A group of friends wants to go to the amusement park. They have no more than $80 to spend on parking and admission. Parking is $14.75, and tickets cost $11.25 per person, including tax. Write and solve an inequality which can be used to determine xx, the number of people who can go to the amusement park.

Answer 1

To determine the number of people who can go to the amusement park, we need to write an inequality that represents the total cost of parking and admission, which is the maximum amount of money that the group has. Let x represent the number of people who can go to the amusement park. The total cost of parking and admission can be represented by the inequality 14.75 + 11.25x ≤ 80. To solve this inequality, we need to find the values of x that make the inequality true. We can do this by isolating the variable on one side of the inequality. To do this, we need to subtract 14.75 from both sides of the inequality: 14.75 + 11.25x ≤ 80

-14.75 -14.75

11.25x ≤ 65.25

Next, we need to divide both sides of the inequality by 11.25 to isolate the variable on one side of the inequality: 11.25x ≤ 65.25

x ≤ 5.77

Since the number of people must be a whole number, we can round down to find the maximum number of people who can go to the amusement park: x ≤ 5

This means that no more than 5 people can go to the amusement park if they want to stay within their budget.

Explanation: