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8x Mathematical Problems
First, find the equivalence relation.

Because the number of people is constant, you can grasp this amount and read the questions again.

"If there are 8 people in each room, there will be less 12 beds." The known number is 8* rooms+12.

"If there are 9 people living in each room, but two dormitories are vacant", the number of people is 9* (the number of rooms is -2).

So there are 8* rooms+12=9* (room number -2).

Find here, and you can start asking for results!

Solution: There are X dormitories.

8x+ 12=9(x-2)

8x+ 12=9x- 18

x=30

So the total number of people is 30*8+ 12=252 (people).

A: * * * There are 252 people.