# 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
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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
146
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!

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.