Where's the Change? 3 Men Share a Hotel Room

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The discussion revolves around a classic riddle involving three men sharing a hotel room that costs $30. Initially, they each pay $10, totaling $30. After realizing the room is only $25 due to a special, the concierge gives back $5, which the bellhop delivers to the men. They decide to keep $1 each and tip the bellhop $2. One man then mistakenly calculates that they paid $27 (after receiving $1 back each) and adds the $2 tip, concluding that $29 is unaccounted for. Participants clarify that the confusion arises from miscounting the tip, which is already included in the $27 total. The correct breakdown shows that the men effectively paid $25 for the room and $2 for the tip, totaling $27, with no missing dollar. The discussion highlights the importance of clear accounting in problem-solving and the common pitfalls of misleading logic in such riddles.
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Three men go to a hotel and decide to share a room. The room costs $30 per night, so they each leave $10 at reception and head upstairs.

Later the concierge recalls that tonight is the twenty-five-dollar special. He gives the bell hop exactly five one-dollar coins(/notes, depends on your currency!).

The bell hop arrives at the room and explains the special. The men realize there is no easy way to share the 5 coins between them, so they keep one dollar each and give the bell hop a $2 tip.

Later, one of the men exclaims: "Wait, we got $1 back each, right? Well, that means we paid $9 each for the room, right? (Our original $10 each minus the dollar we got back.) Now, three nines is 27, plus the $2 tip gives $29. Where'd the other dollar go?"

Where, indeed, did the extra dollar go?
 
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Oh this is so old :P
 
Pengwuino said:
Oh this is so old :P
I concur.
.
 
Its fairly obvious that the 2nd man ate the money
 
Government tax.
 
try thinking of it this way: 3 guys go to rent a room. it costs 25 a night. to make it even they each pay 9 dollars and say keep the change. 3*9=27total=25rent+2tip. they didn't pay 27+2.
 
Must be a sign of the times, these 3 guys used to just go out for a meal, now they're sharing a room for the night!
 
It's easy! the question is set up to mislead you... it's really like this... 30$ is payed... 5$ is given back (now we're at 25$ payed) ... 3 dollars are kept (now we're at 28!) 2 dollar tip! wala... 30$... each man does not actually pay the even 9 dollars each :P... but where indeed... does that extra penny go? It's only 25 dollars for the room! Why would they each pay 9 dollars? :P 8.33X3 is 24.99, kept 3, 27.99, 2 tip... 29.99... where is the extra penny? haha i suck at my futile attempts to keep this going.
 
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I am just a normal housewife...no big education...but I would use the debit/credit theory...
debit...$27 disbursed collectively from the 3 men

credit...$25 for the room and $2 tip...

No extra dollar floating around:rolleyes:
 
  • #10
It's on wolfram's bed :smile:
 
  • #11
It's such an evil problem. They count the tip twice, it was already included in the 27$ and for some reason they add it again.
 
  • #12
Alkatran said:
It's such an evil problem. They count the tip twice, it was already included in the 27$ and for some reason they add it again.

Werd.
It's an easy problem :)

However, I should try to get some people with that type of logic...hmm
 
  • #13
I was a bit perplexed a first, I was wondering why he added the two dollars to 27 when he should have been subtracting it to get the cost of the room. Funny, misleading the person like so; I wonder how many of my friends will fall for it?
 
  • #14
So how do I explain this to everybody so I sound smart?
 
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