What Happened to the Last Dollar?

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The discussion revolves around a classic riddle involving three men who pay $30 for a motel room, which is later revealed to cost only $25. The motel owner instructs the bellboy to return $5 to the men, but the bellboy keeps $2 for himself and gives only $3 back. Initially, each man paid $10, but after receiving $1 back, they effectively paid $9 each, totaling $27. The confusion arises when trying to reconcile this with the bellboy's $2, leading to the misleading equation of $9 + $9 + $9 + $2 = $29. The key point is that the bellboy's $2 should not be added to the total paid, as it is already included in the $27. The riddle highlights a common logical fallacy in how the situation is framed, emphasizing the importance of clear accounting in problem-solving.
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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:
 
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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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