MathDB
1987 AJHSME Problem 18

Source:

June 25, 2011

Problem Statement

Half the people in a room left. One third of those remaining started to dance. There were then 1212 people who were not dancing. The original number of people in the room was
(A) 24(B) 30(C) 36(D) 42(E) 72\text{(A)}\ 24 \qquad \text{(B)}\ 30 \qquad \text{(C)}\ 36 \qquad \text{(D)}\ 42 \qquad \text{(E)}\ 72
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