To determine if the theater is filled with the given ticket sales scenario, we need to know the seating capacity of the theater.
Let's assume the following:
- Standard Tickets: The theater sells 100 standard tickets.
- Premium Tickets: The theater sells 100 premium tickets.
- Total Tickets Sold: 100 (standard) + 100 (premium) = 200 tickets.
Now, we need to check the total seating capacity of the theater to see if it matches the total tickets sold.
If the theater has a seating capacity of 200, then selling 100 standard tickets and 100 premium tickets would indeed fill the theater to its maximum capacity, meaning that the theater is filled.
If the theater has a seating capacity greater than 200, then the theater would not be filled because there would still be seats available.
If the theater has a seating capacity less than 200, then selling 200 tickets would exceed the capacity, leading to overselling.
Final Evaluation:
- If capacity = 200: Theater is filled.
- If capacity > 200: Theater is not filled.
- If capacity < 200: Theater is oversold.
Since we don't have the actual seating capacity given in the question, we cannot definitively conclude whether the theater is filled or not. However, if we take the typical scenario that the theater is designed to fill exactly with 200 seats, we can conclude that it is filled in that case. Otherwise, the answer varies based on the actual capacity.