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Sagot :
The auditorium will be full after 80 minutes
The total number of seats in the auditorium is the sum of all the people in the auditorium when it is full
Total number of people in the auditorium = 300
Every 10 minutes,15 people leave and 40 people sit down
Number of people joining the room every 10 minutes = 40 - 15
Number of people joining the room every 10 minutes = 25
The number of people originally in the room = 100
Number of people remaining for the auditorium to get full = 300 - 100
Number of people remaining for the auditorium to get full = 200
Number of times 25 people join the auditorium = 200/25
Number of times 25 people join the auditorium = 8
Since 25 people join every 10 minutes for 8 different times:
Time taken for the auditorium to be full = 10(8)
Time taken for the auditorium to be full = 80 minutes
Therefore, the auditorium will be full after 80 minutes
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