Answer:
231.
Step-by-step explanation:
Let x represent number of people who bought tickets for each showing.
We have been given that a movie theater sells 11,550 tickets for 50 sold-out showings of the same movie.
Since there are 50 sold-out showings, so number of people in 50 sold-out showing would be [tex]50x[/tex].
Now, we will equate number of people in 50 sold-out showing with total tickets sold as:
[tex]50x=11,550[/tex]
Upon dividing both sides by 50, we will get:
[tex]\frac{50x}{50}=\frac{11,550}{50}[/tex]
[tex]x=231[/tex]
Therefore, there are 231 people who bought tickets for each showing.