What Happened to the Last Dollar?

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Discussion Overview

The discussion revolves around a classic riddle involving a motel room payment and the apparent disappearance of a dollar. Participants explore the mathematical reasoning behind the riddle, examining how the payments and refunds are accounted for.

Discussion Character

  • Exploratory
  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • One participant presents the riddle and outlines the initial payment and subsequent transactions, highlighting the confusion over the missing dollar.
  • Another participant argues that the bellhop shortchanged the three men by two dollars, suggesting a method to redistribute the refund to clarify the total paid.
  • A different participant points out that the error lies in counting the bellhop's share twice, proposing a breakdown of the payments to show that the total adds up correctly without the missing dollar.
  • One participant responds with a humorous remark about earning "adimensional-points" in relation to the riddle, indicating a light-hearted take on the discussion.

Areas of Agreement / Disagreement

Participants present competing views on the riddle's resolution, with no consensus reached on the interpretation of the transactions and the missing dollar.

Contextual Notes

The discussion involves assumptions about the accounting of the payments and refunds, and the framing of the riddle may lead to different interpretations of the same scenario.

Who May Find This Useful

Individuals interested in mathematical puzzles, logical reasoning, or those who enjoy exploring paradoxes in everyday scenarios may find this discussion engaging.

nucleartear
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There are three guys who go to a motel. They ask for a room, and the owner of the motel receives to them $30. After, when the three guys are at the room, the owner remember that room is only $25, so, he calls to the bellboy and say: "Give that $5 to the three guys". But tomorrow is his girlfriend's birthday, so the bellboy take $2 and only gives $3 to the three guys.

In the beginnig, each one had paid $10, but the bellboy has give them $1 to each one, so, they have paid $9 each one, and the bellboy has the $2, so... $9 + $9 + $9 + $2 = $29

So, what's happened with that last dollar?

(it is a stupidity, I know it):smile:
 
Last edited:
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'Nothing'
The bellhop shortchanged the three guys by two dollars.
Divide the two dollars among the 3 guys and you get sixty-seven cents each. Add the sixty-seven cents to the one dollar previously returned to each guy and you get one dollar sixty-seven cents times 3, which equals five dollars. Subtract the five dollars from the thirty dollars originally paid and you get the revised rate of twenty-five dollars.
 
The key is that we are counting the bellhop twice.

The bill is: 9 + 9 + 9 - 2 = 25
plus 2 for the bellhop makes 27.

The "plus two for the bellhop" is the hook.
 
Congratulations!

You have win trhee adimensional-points!

You have your first block to make a triangle!

(silly joke, I know)
 

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