Final answer:
To determine how many tickets the group of friends can buy, use the equation $16.75 + $32.75x = $311.50 and solve for 'x'. The group can buy 9 tickets.
Step-by-step explanation:
To determine how many tickets the group of friends can buy, we need to set up an equation using the given information.
Let's say the number of tickets the group can buy is represented by 'x'.
The total cost of parking and admission is $311.50, which is equal to the cost of parking plus the cost of tickets: $16.75 + $32.75x.
So, the equation will be: $16.75 + $32.75x = $311.50.
To solve this equation, we need to isolate 'x' on one side.
First, subtract $16.75 from both sides of the equation: $32.75x = $294.75.
Then, divide both sides of the equation by $32.75 to solve for 'x': x = 9.
Therefore, the group of friends can buy 9 tickets.