Who is asking: Teacher
I find this to be a fascinating problem because the logic seems so natural and correct but it's not. After the bellhop has given back three dollars, each mathematician has paid nine dollars for a total of $27.00. You can see where the $27.00 has gone, $25.00 to the manager and $2.00 to the bellhop. By adding the bellhop's $2.00 to the $27.00 that has been paid you are saying that the $2.00 is in addition to the $27.00 when, in fact, it is part of the $27.00.
I hope this helps,
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