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An auditorium has 300 seats.at the beginning of a concert,100 people were in the auditorium.every 10 minutes,15 people leave and 40 people sit down.if this continues,how long will it take for the auditorium to be full?

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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