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Missing Dollar Riddle

Easylogic

This Easy puzzle in the “logic” category rewards careful reading and step-by-step reasoning. Use the hint if you are stuck, then compare your approach with the explained answer.

3 guests check into a hotel room that costs $25.

They each pay $10, for a total of $30.

Later, the hotel clerk realizes the room should have cost only $25, so he gives the bellboy $5 to return.

The bellboy keeps $2 for himself and gives $1 back to each guest.

So each guest has now paid $9, for a total of $27.

The bellboy has $2.

27 + 2 = 29. Where is the missing dollar?

Show Hint
The puzzle adds numbers that should not be added together.
Show Solution

There is no missing dollar.

The trick is that the arithmetic is being arranged in a misleading way.

The guests paid $27 total, and that $27 already includes:

  • $25 kept by the hotel
  • $2 kept by the bellboy

So the correct relationship is:

25 + 2 = 27

And the original $30 is accounted for as:

25 + 2 + 3 = 30

The error is adding the bellboy’s $2 to the guests’ $27, even though that $2 is already part of the $27.

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