I can't believe this is a homework problem

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SUMMARY

The discussion revolves around a classic riddle involving a $30 payment made by three guests for a room. After an overcharge, the clerk returns $5, keeping $2 as a tip and giving $1 back to each guest. The confusion arises from the incorrect interpretation of the payments, where it is clarified that the guests effectively paid $27, which includes $25 for the hotel and $2 for the clerk. There is no missing dollar; the riddle's wording is designed to mislead.

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Homework Statement



Three people register for a room; the desk clerk charges them $30. The manager returns and says this was on overcharge, instructing the clerk to return $5. The clerk takes five $1 bills, but pockets $2 as a tip and returns only $1 to each guest. Of the original $30 payment, each guest actually paid $9, and $2 went to the attendant. What happened to the "missing" dollar?


Homework Equations



?

The Attempt at a Solution



Is it something with the wording?
 
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"Of the original $30 payment, each guest actually paid $9, and $2 went to the attendant."

This statement is wrong. The actual payment the three guests made is 30 - 1*3 = 27 dollars, of which $25 goes to the hotel and $2 goes to the clerk. No bill vanished :biggrin:

Edit: To edit the above statement:
"Of the original $30 payment, each guest actually paid $9, and $3 went back to the guests."
 
Last edited:
It's an old and I suppose classic question which is worded in a way designed to confuse.The scenario I am most familiar with relates to three diners in a restaurant.
 
This is a very old riddle. There is nothing wrong with the wording.
 
hikaru1221 said:
"Of the original $30 payment, each guest actually paid $9, and $2 went to the attendant."

This statement is wrong. The actual payment the three guests made is 30 - 1*3 = 27 dollars, of which $25 goes to the hotel and $2 goes to the clerk. No bill vanished :biggrin:

Edit: To edit the above statement:
"Of the original $30 payment, each guest actually paid $9, and $3 went back to the guests."

Huh? Where does the 30 come into play here? The problem specifically says that a $30 payment took place!

[PLAIN]http://icanhascheezburger.wordpress.com/files/2007/08/skeptical-cat-is-fraught-with-skepticism.jpg
 
Last edited by a moderator:
Is the attendant paid separately from the clerk?
 
Explain this to me as if I were a 4-year-old.
 
Sorry, misred it. So $2 goes to the attendant.
Yes, the guests at first paid $30. But each was given back $1. It is the money they actually paid, i.e. $27, that went to both the attendant and the hotel eventually.
 

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