¶ 2004 AMC8 Problem 20
Problem:
Two-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 empty chairs, how many people are in the room?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
Because the empty chairs are of the chairs in the room, there are chairs in all. The number of seated people is , and this is of the people present. It follows that
So there are people in the room.
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions