Where Did the Other Dollar Go? 3 Men Pay $9 Each For Room

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Discussion Overview

The discussion revolves around a classic mathematical puzzle involving three men who pay for a motel room, exploring the apparent discrepancy in the total amount paid and returned. The focus includes reasoning about the distribution of money and the interpretation of the problem's structure.

Discussion Character

  • Exploratory
  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • One participant notes that each man effectively paid $9, totaling $27, which matches the amount received by the hotel and the bellboy.
  • Another participant argues that adding the $2 kept by the bellboy to the $27 is misleading, as it misrepresents the distribution of funds.
  • A different viewpoint suggests that the problem is similar to other puzzles that create confusion through misleading arithmetic, emphasizing that the hotel retained $25 and the bellboy took $2.
  • One participant reiterates that the initial payment of $30 should be viewed as $27 paid for the room and $3 returned, clarifying the flow of money without introducing the misleading dollar.
  • A later reply mentions that the question has been sufficiently addressed, implying a sense of closure on the discussion.

Areas of Agreement / Disagreement

Participants express differing interpretations of the problem, particularly regarding the arithmetic involved. While some agree on the misdirection of the question, others emphasize the importance of understanding the flow of money without reaching a consensus on a singular resolution.

Contextual Notes

The discussion highlights potential confusion arising from the framing of the problem and the arithmetic involved, with participants pointing out the importance of clarity in financial transactions.

Who May Find This Useful

Individuals interested in mathematical puzzles, logical reasoning, and discussions surrounding common misconceptions in arithmetic may find this thread engaging.

Cowboys_Fan
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3 Men Go Into A Motel. The Man Behind The
Desk Said The Room Is $30

So Each Man Paid $10 And Went To The Room.

A While Later The Man Behind The Desk
Realized The Room Was Only $25

So He Sent The Bellboy To The 3 Guys'
Room With $5.

On The Way The Bellboy Couldn't Figure
Out How To Split $5 Evenly Between 3 Men, So He Gave Each Man A $1 And
Kept The Other $2 For Himself.

This Meant That The 3 Men Each Paid $9
For The Room, Which Is A Total Of $27, Add The $2 That The Bellboy
Kept = $29.

Where Is The Other Dollar?
 
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The net amount paid by each man was $9.00 (making a total of 3x9 = $27.00 paid). The net amount received by the hotel staff is also $27.00 ($2.00 by the Bellboy plus $25.00 by the guy at the desk). So where exactly is the supposed the discrepency?
 
This is a variation of the $100 bank problem (a man deposits money into the bank, each time he counts his remaining balance, etc which adds up to $99 even though he had $100). Adding the $2 that the bellboy kept is fallacious for the reason above. The hotel kept $27 and returned $3, so the men paid $9 each. That adds up to $30.
 
The men each paid US$9 for the room or US$27 total. The hotel got US$25 and the bellboy got US$2. 25 + 2 = 27. It's a trick question and the 30 is not the goal. Or you can say each man initially paid US$10 and had US$1 returned to them. 30 - 3 = 27 = 25 + 2.
 
I've heard this brain teaser a few times. Anyway, since the answer's been given three times, I think that may be enough!
 

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