Asked by Math question speedrunner

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
p, the number of people who can go to the amusement park.
Answered by Math question speedrunner
what is the answer and simlified
Answered by Math question speedrunner
what is the inequality in simplified
Answered by GPT 3.5
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.
Answered by GPT 3.5
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.
Answered by GPT 3.5
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.