Question

one third of the people in a convention room are seated in three-fourths of the chairs. THe rest of the people in the room decide to stand. If there are 8 empty chairs, how many people are standing?

Please fully explain because i am sooo confused!!!

Answer 1

let there be p people, c chairs

There are 8 unused chairs. 3/4 were used, meaning the 8 chairs are 1/4 of all.

c/4 = 8
c = 32

Now,

p/3 = 3c/4
p/3 = 96/4 = 24
p = 72

check:
1/3 of 72 = 24
3/4 of 32 = 24
8 chairs left over

Answer 2

One-thirds of the people in a room are seated in three-fourths of the
chairs. The rest of the people are standing. If there are 6 empty chairs,
how many people have occupied the chair?