# Homework Help: I can't believe this is a homework problem

1. Jun 24, 2010

### Jamin2112

1. The problem statement, all variables and given/known data

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?

2. Relevant equations

?

3. The attempt at a solution

Is it something with the wording?

2. Jun 24, 2010

### hikaru1221

"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 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: Jun 24, 2010
3. Jun 24, 2010

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.

4. Jun 24, 2010

### Kurdt

Staff Emeritus
This is a very old riddle. There is nothing wrong with the wording.

5. Jun 24, 2010

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 [Broken] Last edited by a moderator: May 4, 2017 6. Jun 24, 2010 ### Jamin2112 Is the attendant paid separately from the clerk? 7. Jun 24, 2010 ### Jamin2112 Explain this to me as if I were a 4-year-old. 8. Jun 24, 2010 ### hikaru1221 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.