BartiniMan
Topic Author
Posts: 304
Joined: Fri Jul 20, 2001 8:14 pm

The Missing Dollar

Wed Nov 05, 2003 5:07 pm

After reading the thread "I dont get this", it reminded me of a good puzzle I read some time ago. See if you can explain where the missing dollar has gone.


3 MEN GO INTO A MOTEL. THE MAN BEHIND THE DESK SAID THE ROOM IS $30, SO EACH MAN PAID $10 AND WENT TO THE ROOM. A WHILE LATER THE MAN BEHIND THE DESK REALIZED THE ROOM WAS ONLY $25, SO HE SENT THE BELLBOY TO THE 3 GUYS' ROOM WITH $5. ON THE WAY THE BELLBOY COULDN'T FIGURE OUT HOW TO SPLIT $5 EVENLY BETWEEN 3 MEN, SO HE GAVE EACH MAN A $1 AND KEPT THE OTHER $2 FOR HIMSELF. THIS MEANT THAT THE 3 MEN EACH PAID $9 FOR THE ROOM, WHICH IS A TOTAL OF $27, ADD THE $2 THAT THE BELLBOY KEPT = $29. WHERE IS THE OTHER DOLLAR?


BartiniMan

 
707CMF
Posts: 4698
Joined: Thu Mar 14, 2002 5:39 pm

RE: The Missing Dollar

Wed Nov 05, 2003 6:12 pm

WHERE IS THE OTHER DOLLAR?

I'd say under your Caps Lock key...

No, more seriously.

The total is 27$, but the 2$ the bellboy kept for himself are not taken from the 30$. They are a supplement from the 25$ the 3 (unwise) men should have paid. 25+2 = 27.

To go from 27$ to 30$ you add 3$. Thos were not kept by the bell boy, but just given back to the guests.

And please, just don't shout like that, you sound like my 7th grade math teacher...

707
 
UTA_flyinghigh
Posts: 6304
Joined: Wed Oct 03, 2001 8:46 pm

RE: The Missing Dollar

Wed Nov 05, 2003 6:43 pm

Aaargh ! 707cmf showing his superior math skills (and big head in the process) again !  Big thumbs up  Big thumbs up
Will
Fly to live, live to fly - Air France/KLM Flying Blue Platinum, BMI Diamond Club Gold, Emirates Skywards
 
707CMF
Posts: 4698
Joined: Thu Mar 14, 2002 5:39 pm

RE: The Missing Dollar

Wed Nov 05, 2003 6:56 pm

and big head in the process

Well, Big Giant Head, actually.

But you know, Will, it does not take math skills that superior to add flights durations in one's log book  Wink/being sarcastic

Anyway, vieille put, I'm sure you'll feel more at home in that thread : http://www.airliners.net/discussions/non_aviation/read.main/447331/

707

[Edited 2003-11-05 10:57:40]
 
BartiniMan
Topic Author
Posts: 304
Joined: Fri Jul 20, 2001 8:14 pm

RE: The Missing Dollar

Wed Nov 05, 2003 10:54 pm

I was ready to paste the answer from the site that I copied this riddle from, cause I was sure people would have a hard time figuring it out. Yet 707 is too smart and quick for all of us.  Smile

BartiniMan

P.S. the reason for the caps lock is cause i copied and pasted, and thats the way it came out and i didnt want to rewrite it in lower case letters.
 
Qb001
Posts: 1923
Joined: Fri Apr 28, 2000 12:42 am

RE: The Missing Dollar

Wed Nov 05, 2003 10:57 pm

707cmf is right. Here is the arithmetic proof.

RP = Room Price (original)
GS = Guy's Share (original)
E = Price of "error"

So first:
RP = 3 x GS

Then, clerk realizes error and fixes it:
RP - E = (3 x GS) - E

Bellboy gives each Guys a reimbursement (R) of 1$ and keeps balance (B) of 2$. Therefore:
RP - E = (3 x GS) - (3 x R) - 2

We simplify:
RP - E = 3(GS - R) - 2

We solve:
RP = 30
GS = 10
E = 5
R = 1
B = 2

30 - 5 = 3(10 - 1) - 2
25 = 25.
Never let the facts get in the way of a good theory.
 
prebennorholm
Posts: 6409
Joined: Tue Mar 21, 2000 6:25 am

RE: The Missing Dollar

Thu Nov 06, 2003 7:15 am

Bartiniman, your math is brilliant, it's exactly as the minister of finances in my country.

Come up here, you will have a great career in the Ministry of Finances.  Big thumbs up

All you need to learn is to put about nine or ten zeroes behind your figures.
Always keep your number of landings equal to your number of take-offs
 
lehpron
Posts: 6846
Joined: Tue Jul 10, 2001 3:42 am

RE: The Missing Dollar

Thu Nov 06, 2003 9:03 am

i like cheese, does anyone else like cheese?
The meaning of life is curiosity; we were put on this planet to explore opportunities.

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