Puzzeled

Discussion in 'Math' started by physicist, Jun 10, 2007.

  1. physicist

    Thread Starter New Member

    Jun 10, 2007
    1
    0
    Three men go to a hotel and rent a room. The sign outside the hotel said rooms for 30 dollars.They each give the clerk a 10 and the bellboy leads them to their room . Shortly after they leave the clerk notices that rooms are on sale for 25 dollars. When the bellboy returns he gives the bellboy 5 dollar bills to return to the men.On the way up the bellboy realizes he cannot devide 5 dollars by 3 men so he puts 2 dollars in his pocket. He reaches the room and gives each man 1 dollar back.

    Now each man has paid 9 dollars for the room 9 times 3 equals 27 the bellboy has 2 dollars in his pocket 28 and 29 where did the other dollar go?
     
  2. gootee

    Senior Member

    Apr 24, 2007
    447
    50
    Each of the three men owed, at the $25 discounted rate, $25/3 = $8 1/3.
    Each man paid, after the refund, $9.00.
    Each man was then owed $9 - $8 1/3 = $2/3.
    $2/3 x 3 = the two dollars that the bellboy pocketed.
    There is no missing dollar.

    - Tom Gootee

    http://www.fullnet.com/~tomg/index.html

    -
     
  3. niftydog

    Active Member

    Jun 13, 2007
    95
    0
    The deception is in this sentence - the $2 should be subtracted (not added) because it is owed to the three men.

    $30 - $3 refund - $2 stolen = $25.
     
  4. Salgat

    Active Member

    Dec 23, 2006
    215
    1
    #1=-10 +1 = -9
    #2=-10 +1 = -9
    #3=-10 +1 = -9
    Bell Boy=0 +2 = 2
    Total = -25

    Hotel=30 -5 = +25

    Hehe, thats last sentence is tricky.
     
  5. thingmaker3

    Retired Moderator

    May 16, 2005
    5,072
    6
    I'm betting my $2 on Niftydog's answer! It should not run "bellboy has 2 dollars in his pocket 28 and 29" but rather "bellboy has 2 dollars in his pocket 26 and 25." The clerk has only $25 after all - not $30.
     
  6. Dave

    Retired Moderator

    Nov 17, 2003
    6,960
    144
    The funny thing about this conundrum is that even though you know there is a con, at first you spend a lot of time trying to convince yourself that it is indeed a con! It's a classic example of playing on words.

    Dave
     
  7. recca02

    Senior Member

    Apr 2, 2007
    1,211
    0
    u all are wrong. that $1 is with me and i m not giving it back, no way! :D

    i have heard this puzzle in so many different form its quite a famous one all across the globe i suppose.
    who designed this one this confuses u like hell,he really knew how to play with people's thinking.when i ifirst heard this puzzle(way back) it took me days to figure it out that the two dollars are owed and hence is a part of the 27 dollars they paid.