Men in Black II grossed $19,821,658 on
3557 screens on the opening Friday. If
theaters are open from noon to midnight,
have 15 minutes in between showings, and
average $6 a ticket for the 82 minute
movie, find the average number of people
who attended each showing.
To find the average number of people who attended each showing of Men in Black II, we need to calculate the number of showings and then divide the total number of people by that.
Step 1: Calculate the number of showings
Since theaters are open from noon to midnight, we need to find the total number of minutes they are open. There are 12 hours from noon to midnight, and each hour has 60 minutes, so the theaters are open for 12 * 60 = 720 minutes.
Each showing of the movie has a duration of 82 minutes, including the 15-minute gap between showings. So, the total time required for each showing is 82 + 15 = 97 minutes.
To calculate the number of showings, we divide the total time the theaters are open by the time required for each showing:
Number of showings = Total time theaters are open / Time required for each showing
Number of showings = 720 minutes / 97 minutes
Number of showings ≈ 7.43
We can't have a fraction of a showing, so we assume there were 7 showings.
Step 2: Calculate the total number of people
To find the total number of people, we multiply the number of showings by the number of people attending each showing. To calculate the latter, we use the average ticket price and the movie's duration.
Average ticket price = $6
Movie duration = 82 minutes
Total number of people = Number of showings * Average ticket price / Movie duration
Total number of people = 7 * $6 / 82
Total number of people ≈ 0.51
Again, we can't have a fraction of a person, so we assume that approximately 1 person attended each showing.
Therefore, the average number of people who attended each showing of Men in Black II is approximately 1 person.