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Logic puzzles require you to think. You will have to be logical in your reasoning.

 Puzzle ID: #48751 Fun: (2.58) Difficulty: (2.12) Category: Logic Submitted By: Mathgeek007 Corrected By: dalfamnest

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?

### Hint

Just try going through the whole process backwards.

BONUS! Try doing the process forward. (Remember you can't have a fraction of a twitch or a clap, ect.)

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