I can't believe this is a homework problem

Click For Summary

Homework Help Overview

The problem involves a scenario where three guests pay $30 for a room, and after a refund, there is confusion regarding the distribution of the money and the concept of a "missing" dollar. The subject area pertains to logical reasoning and problem interpretation.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the wording of the problem and its potential to confuse. Some question the accuracy of statements regarding the distribution of payments and the total amount accounted for. Others suggest that the problem is a classic riddle designed to mislead.

Discussion Status

The discussion is active, with participants offering differing interpretations of the problem's wording and the financial breakdown. Some provide clarifications on the amounts involved, while others express skepticism about the initial setup. There is no explicit consensus, but various lines of reasoning are being explored.

Contextual Notes

Participants note that the problem may be framed in a way that leads to confusion, and there are discussions about the roles of the clerk and the attendant in the payment process. The original payment amount and the subsequent refund are central to the discussion.

Jamin2112
Messages
973
Reaction score
12

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?
 
Physics news on Phys.org
"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.
 

Similar threads

  • · Replies 4 ·
Replies
4
Views
2K
Replies
1
Views
3K
  • · Replies 25 ·
Replies
25
Views
4K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 2 ·
Replies
2
Views
7K
  • · Replies 7 ·
Replies
7
Views
2K