Chair Problem

Let p = number of people and c = number of chairs.

If 3/4 of the chairs are filled then  (1/4)c = 6  so c = 24

 We are told that 2p/3 = 3c/4  so 2p/3 = 3*24/4   or 2p/3 = 18  so p = 3*18/2 or p = 27

There are 27 people in the room.           

Thanks

2/3 of the people who are in a room are sitting on 3/4 of the chairs that there is. The rest of the people are standing. If there are 6 empty chairs, how many people are in the room?

Let P=number of people in the room

Let C=number of chairs in the room

2/3P=3/4C

C - 3/4C=6

1/4C=6

C=24 number of chairs in the room.

2/3P=18

P=27 number of people in the room