A group of friends wants to go to the amusement park. They have no more than $170 to spend on parking and admission. Parking is $7.25, and tickets cost $23.25 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.
The amount spent on parking can be calculated by multiplying the number of people (x) by the parking fee of $7.25. Similarly, the amount spent on tickets can be calculated by multiplying the number of people (x) by the ticket cost of $23.25.
Therefore, the total amount spent on parking and admission can be expressed as:
Total Cost = Parking Cost + Ticket Cost
Total Cost = 7.25x + 23.25x
Since the friends have no more than $170 to spend, the total cost should be less than or equal to $170:
7.25x + 23.25x ≤ 170
Combining like terms:
30.5x ≤ 170
Dividing both sides by 30.5:
x ≤ 5.57
Since the number of people must be a whole number, the maximum number of people (x) who can go to the amusement park would be 5.