A group of friends wants to go to the amusement park. They have 69.75 to spend on parking and admission . Parking is 17.25 , and tickets cost 17.50 per person , including : tax. Write and solve an equation which can be used to determine p, the number of people who can go to the amusement park.

To determine the number of people who can go to the amusement park, we need to set up an equation based on the given information.<br /><br />Let's denote the number of people as \( p \).<br /><br />The total amount of money they have is $69.75, which includes the parking fee and the cost of tickets for \( p \) people.<br /><br />The parking fee is $17.25, and the ticket cost per person is $17.50.<br /><br />The equation representing the total cost is:<br />\[ 17.25 + 17.50p = 69.75 \]<br /><br />Now, let's solve for \( p \):<br /><br />1. Subtract the parking fee from both sides of the equation:<br />\[.50p = 69.75 - 17.25 \]<br />\[ 17.50p = 52.50 \]<br /><br />2. Divide both sides by the ticket cost per person:<br />\[ p = \frac{52.50}{17.50} \]<br />\[ p = 3 \]<br /><br />So, the number of people who can go to the amusement park is \( \boxed{3} \).