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Hotel Bill


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62 replies to this topic

#31 Angel 1

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Posted 11 January 2008 - 04:13 PM

They each paid $9, only because the bellboy pocketed the other $2 the remaining $3 is the amount they got back. They actually each paid $8.33 and 1/3 cents for the room which was $25, then the bellboy kept $2 which brings us to $27 and they were given back $3 ($1 for each person) which makes a grand total of $30.
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#32 x-Genius-Girl-007-x

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Posted 26 January 2008 - 11:40 AM

basically, each person paid $9 each, giving the manager $27. $2 of these dollars went to the bellboy.
The remaining $3 come from the $1 each person got returned to them added together.
A deputy head at my school did the same puzze with pounds, but didn't tell us the answer.
Am I right?
It's not EXACTLY nonsense - pretty cool actually :D
muahaha messing with innocent minds lol
x
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#33 stilllearning

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Posted 26 February 2008 - 04:03 AM

Hotel Bill - Back to the Logic Puzzles
Three people check into a hotel. They pay $30 to the manager and go to their room. The manager finds out that the room rate is $25 and gives $5 to the bellboy to return. On the way to the room the bellboy reasons that $5 would be difficult to share among three people so he pockets $2 and gives $1 to each person. Now each person paid $10 and got back $1. So they paid $9 each, totalling $27. The bellboy has $2, totalling $29.
Where is the remaining dollar?


Spoiler for Solution



This is another famous 'paradox'. I've found it in multiple sites before. And one of them explained it. It said that in these statements, all the information is correct EXCEPT for the last two. "So they paid $9 each, totalling $27. The bellboy has $2, totalling $29." These are false and misleading statements because in the $27, it is the $2 that the bellboy kept that has been accounted for. Which means that there is the $3 that still needs to be taken in that was given back to the guests of the hotel. And $27 plus $3 equals $30, the same amount that was originally given.

Edited by stilllearning, 26 February 2008 - 04:05 AM.

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#34 RCool7

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Posted 05 March 2008 - 09:36 PM

If they were given back $3 and that made them actually pay $9 each then that payment was both to the hotel and the bellboy in turn leaving the $3 they got back to be the missing $3.
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#35 dogliver

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Posted 09 March 2008 - 03:56 PM

The three guests paid a total of $27 out of pocket, of which the bellboy has $2 and the manager has $25. There is no missing dollar.
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#36 Busta

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Posted 10 March 2008 - 03:15 AM

:rolleyes: THE PEOPLE ARE GIVEN $9 EACH THEN FROM THE BELLBOY ANOTHER $1 EACH WHICH ADDS UP PERFECT :rolleyes:
AM I RIGHT OR NOT THINK ABOUT IT
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#37 Abhishek Rai

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Posted 11 March 2008 - 03:46 AM

Everthing is fine and there is no loss of $1. Customers paid $30, $10 each of them but manger returned $5 back. Billboy kept $2 in between and returned $3, $1 to each of them. So now if we calculate they paid $9 instead of $10. Total amt paid is $27 inclusive of the amt which has been kept by billboy. It is like. $25 Hotel Bill + $2 Billboy kept + $3returned = $30 or other way is $9 paid by each of them so total is $27 (inclusive of Hotelbill & $2 of billboy) and they got $3 back, $1 each so {($9 * 3)= $27 = ($25 + $2)} + ($1 * 3) = $30
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#38 NymphCRF250

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Posted 20 March 2008 - 06:10 PM

There is no extra dollar!
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#39 CR26

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Posted 23 March 2008 - 07:52 PM

Hotel Bill - Back to the Logic Puzzles
Three people check into a hotel. They pay $30 to the manager and go to their room. The manager finds out that the room rate is $25 and gives $5 to the bellboy to return. On the way to the room the bellboy reasons that $5 would be difficult to share among three people so he pockets $2 and gives $1 to each person. Now each person paid $10 and got back $1. So they paid $9 each, totalling $27. The bellboy has $2, totalling $29.
Where is the remaining dollar?


Spoiler for Solution





where do you get $27 from, $25 at the desk, $3 to the guys, and the $2 the bellboy kept: 25+3+2=30
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#40 Felipe

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Posted 30 March 2008 - 07:33 AM

I think I can try to clear out the solution.

The problem estates that each person paid $9 ($27 total) plus $2 for the bell hop equals 29. HERE'S THE CATCH (AND THE LIE)!!! The first $27 already include the $2 for the bell hop (and $25 for the rooms), so REAL total cost for all $3 was in fact $27. If you add the $3 returned after the bell hop stole $2 you get the $30 originally paid.

Hope this clears any doubts.
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