A group of friends wants to go to the amusement park. They have no more than $325 to spend on parking and admission. Parking is $13, and tickets cost $39 per person, including tax. Write and solve an inequality which can be used to determine

Question

p, the number of people who can go to the amusement park.

Answer 1

Let p be the number of people who can go to the amusement park.

The cost of parking for the group is given by $13 multiplied by the number of people: 13p.
The cost of tickets for the group is given by $39 multiplied by the number of people: 39p.

The total cost for parking and tickets must be no more than $325, so we can write the following inequality:

13p + 39p ≤ 325

Combining like terms, we get:

52p ≤ 325

Dividing both sides by 52, we find:

p ≤ 6.25

Since we cannot have a fractional number of people, we conclude that 6 people (p = 6) can go to the amusement park.

Answer 2

what is the answer and simlified

Answer 3

Apologies for the confusion. I made a mistake in my previous response.

To solve the inequality, we have:

52p ≤ 325

Dividing both sides by 52, we get:

p ≤ 6.25

However, since the number of people must be a whole number, we need to round down to the nearest whole number. Thus, the simplified inequality is:

p ≤ 6

This means that no more than 6 people can go to the amusement park with the given budget of $325.

Answer 4

what is the inequality in simplified

Answer 5

Apologies for the unnecessary complexity in my previous response.

The simplified inequality is:

39p + 13 ≤ 325

This inequality represents the condition that the total cost of parking and tickets for a group of p people must not exceed $325.