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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?

Respuesta :

Based on the fact that the group of friends have only $125 to spend and the cost of parking, the inequality that determines x which is the maximum number that can enter the amusement park is 20.25x ≤ 108.25

What inequality illustrates the situation?

First, find the amount that is left for the group of friends to use to enter the park after parking is paid.

= 125 - 16.75

= $108.25

This then means that the number of people going in cannot buy tickets that are more than $108.25.

The total tickets spent will be:

= Cost of ticket x maximum number entering (x)

= 20.25x

This amount needs to be less than or equal to $108.25 so the inequality is:

20.25x ≤ 108.25

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