Missing Dollar Riddle

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Question: Three guests check into a hotel room. The clerk says the bill is $30, so each guest pays $10. Later the clerk realizes the bill should only be $25. To rectify this, he gives the bellhop $5 to return to the guests. On the way to the room, the bellhop realizes that he cannot divide the money equally. As the guests didn't know the total of the revised bill, the bellhop decides to just give each guest $1 and keep $2 for himself. Each guest got $1 back: so now each guest only paid $9; bringing the total paid to $27. The bellhop has $2. And $27 + $2 = $29 so, if the guests originally handed over $30, what happened to the remaining $1?


Hint: Make a list of all of the people involved and how much money they ended up with/spent.


Answer: The $9 paid by each guest accounts for the $2 that went to the bellhop. So rather than adding $27 to the $2 kept by the bellhop, the $27 accounts for the bellhops money. The $27 plus the $3 kept by the guests does add up to $30.

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Origin: https://en.wikipedia.org/wiki/Missing_dollar_riddle



Riddle Discussion

By: Rithmatics on 13/11/13

The tip was actually paid by the guest and not the hotel.\nIn essence the Guests paid the bellhop $5 as tip. \nSo each guest paid the bellhop $1.67 as tip. \nSo effectively they paid the hotel $8.33\nWhen they got the $1 back it made it $9.33\nSo the Bellhop's tip is now $0.67.\nSo $9.33 + $0.67 = $10

By: The Mathematical wizard on 30/10/13

One does not simply add the $2 to the $27,\nOne subtracts the $2 from the $27, to equal $25

By: Mel on 3/10/13

Because there's a flaw in our mathematical system...

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