A group of friends wants to go to the amusement park. They have $134.50 to spend on parking and admission. Parking is $14.50, and tickets cost $24 per person, including tax. How many people can go to the amusement park?

First, we need to subtract the cost of parking from the total budget: $134.50 - $14.50 = $<<134.50-14.50=120>>120

Then, we divide the remaining budget by the cost of the tickets per person: $120 / $24 = <<120/24=5>>5 people.
Therefore, 5 people can go to the amusement park. Answer: \boxed{5}.