Questions from middle schoolers IV: The hotel problem

What happened to that dollar in the hotel problem?

Are you asking, “What hotel problem?Click here to read it.

Nothing. Each guy paid $9. So $27 altogether. The hotel kept $25, the bellman kept $2.

The key is that the bellman’s $2 is part of the $27 total. So it makes no sense to add $27 + $2.

I remember my best friend in fifth grade, Matt, posing this problem to me as a “hole in mathematics”. He was a wonderful story teller and it made the puzzle very compelling. It’s a lovely one. But it’s not a hole in mathematics.


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