Problem:
Half the people in a room left. One third of those remaining started to dance. There were then people who were not dancing. The original number of people in the room was
Answer Choices:
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B.
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E.
Solution:
The people not dancing are of the people remaining, so people remained. Thus there were people in the room originally.
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions