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Clap Your Hands

Submitted By:Mathgeek007
Fun:*** (2.62)
Difficulty:** (2.09)

There is a special auditorium that holds 100 people. It is not full. Each person claps seven times after a performance. Every time ten claps are heard, the man in the front twitches. Every third twitch, one of the actors hops. Every two hops, a person in the crowd cheers. Every four cheers, the actors bow. If they only bowed once, what is the least amount of people that can be in the auditorium?

BONUS! How many bows will the actors do if the auditorium is full?

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