Question

A group of friends wants to go to the amusement park. They have no more than $60 to spend on parking and admission. Parking is $17.25, and tickets cost $11.25 per person, including tax. Write and solve an inequality which can be used to determine pp, the number of people who can go to the amusement park.

Answer 1

11.25x + 17.25 ≤ $60

the number of people go to the amusement park is 4

Explanation:

Given that

The Total amount for spending ≤ $60

The Cost of Parking is $17.25

The Cost of a ticket for admission is $11.25

Now based on the above information

Number of people go to the amusment park be x

Now the admission cost for x person be 11.25x

And, the parking cost is 17.25

So, the total cost is

= 11.25x + 17.25

Now

Total cost ≤ $60

So, the inequality function is

11.25x + 17.25 ≤ $60

Now solve the above equation

substract the 17.25 by both the sides

11.25x + 17.25 - 17.25 ≤ $60 - 17.25

11.25x ≤ 42.75

Now divided by 11.25

x ≤ 3.8

Hence, the number of people go to the amusement park is 4