Rules
Terms of Use

Topic Options
#286487 - Sat Nov 26 2005 09:34 PM A math puzzle
agony Offline

Administrator

Registered: Sat Mar 29 2003
Posts: 16603
Loc: Western Canada
Three men went into a cheap hotel, and asked for a room. The desk clerk gave them a room for 30 dollars. They each paid a ten dollar bill and went up to their room. A while later, the desk clerk realized that he had made a mistake - the room he had given them was only a 25 dollar room. He called the bell boy over, and handed him five dollar bills. "Take this up to Room 17 and give it to the men with my apologies". The bellboy figured that he had a chance to made some money here - since the men wouldn't know the difference, he just gave them back three dollars, and put two in his pocket.
So, the men had originally paid ten dollars each for the room. They each got one dollar back, which meant they paid nine dollars.
9 X 3 is 27. The bellboy kept two dollars. 27 + 2 is 29. What happened to the other dollar?

Top
#286488 - Sat Nov 26 2005 11:15 PM Re: A math puzzle
ElfTwinkle Offline
Star Poster

Registered: Wed Jul 10 2002
Posts: 14929
Loc: Crazy Canuck   
Quote:

So, the men had originally paid ten dollars each for the room. They each got one dollar back, which meant they paid nine dollars.
9 X 3 is 27. The bellboy kept two dollars. 27 + 2 is 29. What happened to the other dollar?





The men paid $30 but the room only cost $25 --- the desk clerk kept the $25 that the room cost and gave $5 to the bellboy to return to the men (the bellboy then returned $3 to the men and kept $2 for himself)

25+3+2=30 --- therefore, no money is missing


Edited by ElfTwinkle (Sat Nov 26 2005 11:18 PM)

Top
#286489 - Mon Nov 28 2005 09:42 AM Re: A math puzzle
lothruin Offline
Multiloquent

Registered: Wed Nov 12 2003
Posts: 2165
Loc: Nebraska USA
Right, the way it's written in the question is misleading and incorrect. They each paid $9. $9 x 3 is $27. This is exactly correct. $25 for the room plus $2 to the bellboy = $27.
_________________________
Goodbye Ruth & Betty, my beautiful grandmothers.
Betty Kuzara 1921 - April 5, 2008
Ruth Kellison 1925 - Dec 27, 2007

Top
#286490 - Sun Dec 18 2005 11:42 PM Re: A math puzzle
mjohn620 Offline
Participant

Registered: Sun Dec 19 2004
Posts: 5
Exactly. The correct way to phrase it would be that the men paid $9 each for the room (27 dollars) and each received one dollar in return (3 dollars) equaling thirty. The problem in the question is starting with the fact that the men paid $27 for the room. They didn't pay 27 dollars. They actually paid $25 altogether, received three in return and the bellboy got two; bringing it to a grand total of $30.


Edited by mjohn620 (Sun Dec 18 2005 11:42 PM)

Top
#286491 - Thu Feb 16 2006 08:39 PM Re: A math puzzle
TonyTheDad Offline
Forum Adept

Registered: Wed Jun 07 2000
Posts: 195
Loc: Upper Marlboro Maryland USA
Agree with all of the above. Here's an analysis of how the original problem misleads the reader:

True, the men end up paying $27. But $25 is in the hotel's cash drawer, and $2 is in the bellboy's pocket. That can be expressed as ($25 + $2). But then the problem says that the men paid $27, the bellboy has $2, so where's the other dollar. The problem is actually counting the $2 the bellboy swindled *twice*, once with the $27 (25 + 2), and then again after.

It would be more obvious if the men were originally charged, say, $50. Then the bellboy is sent back up with $23. He decides to keep $20, and only return $3. So the men ended up paying $47, the bellboy has $20, so *now* how was an extra $17 generated?

Top
#286492 - Fri Apr 07 2006 12:30 AM Re: A math puzzle
glamel Offline
Forum Adept

Registered: Thu Apr 06 2006
Posts: 129
Loc: Philippines
agree to all,
just to simplify do not divide the money into three,
they paid 28 and that's it,
the bell boy kept the 2 for himself
so 28 + 2 = 30
never count it backwards and indiviual
like 9 x 3 = 27 plus 2= 29
that one dollar is still part of their payment. they paid 25 + 3 = so it is still 28!!!
_________________________
dont let go too soon, but dont hang on too long. ~ Morrie ~

Top

Moderator:  TabbyTom