Mathamagic

Discuss general aspects of Genii.

Postby MaxNY » 03/14/03 08:22 PM

Three guys went to rent a hotel room. The clerk says the room will cost $30 dollars. They each put up a ten dollar bill, and head to their room. The clerk then remembers that there was a "special" on rooms that week, and realizes that he over-charged the three men. The room cost only $25 dollars. He then asked the bellhop to bring the difference up to the men, and pulls out five singles from the register. While heading up to the room, the bellhop can't figure out how the three men were going to split $5 dollars, so he pockets $2 dollars, and gives the men only $3 dollars, one dollar to each man. So, if each man only paid $9 dollars, and there was three men, 3 X $9 = $27, and the bellhop pocket $2 dollars, that makes $29 dollars... What happened to the missing $1 dollar?
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Postby Jim Maloney_dup1 » 03/14/03 08:30 PM

It's a simple error in calculation:

The two dollars should be subtracted from the $27, instead of added. That would equal the $25 that was charged for the room. If anything's going to be added to $27, it would be the three that was returned, because that's the money they got back.

-Jim
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Postby Brad Henderson » 03/14/03 08:41 PM

I always thought this could be turned into an interesting card trick, perhaps ala the Victor 11 card trick.

I have a buddy whose both a magician and works in the hotel industry. It seems like a natural fit.
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Postby David Acer » 03/14/03 08:47 PM

A friend of mine who is a contributing writer for The Onion recently submitted this hilarious headline:

"Mathemagic Fails To Amaze"

Other magic related headlines he sent through the queue:

"Teenage Magician Assisted By Sister"

and...

"Mentalist Plucks Eyebrows"
Now tweeting daily from @David_Acer
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Postby Frank Yuen » 03/14/03 09:22 PM

Daryl uses that brain teaser as the premise for an effect. It's on his Live from London Vol 2 video and in a set of his lecture notes (Daryl Does Den Haag?).

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Postby Brad Henderson » 03/14/03 09:33 PM

I'm unfamiliar with Daryl's use. My inspiration came from the James file and his use of cards to produce a magic square. I thought one could adapt this to a pseudo card control type of experiment. In thinking about that I considered other math "problems" one of which was the hotel paradox.

I think both are fields ripe for exploration.

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Postby Frank Yuen » 03/14/03 09:37 PM

Daryl illustrates it with actual cash and demonstrates the bill vanishing. Later it (the missing bill) turns up in an empty wallet.

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Postby Max Maven » 03/14/03 11:46 PM

Fogel used a related routine involving currency exchange rates.
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Postby Ian Kendall » 03/15/03 02:27 AM

Daryl's routine is in his FFFF lecture notes and is called a puzling bill vanish.

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Postby MaxNY » 03/15/03 07:26 AM

Wow! Heck, interesting uses... I was trying to use this problem to help divert some assets in my 2002 Tax Files.
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Postby Matthew Field » 03/15/03 09:17 AM

Originally posted by MaxNY:
help divert some assets
You've got assets?

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Postby Jon Racherbaumer » 03/15/03 10:20 AM

Peter Kane converted this puzzle into a card trick. I think he published in his column in Repro 71?
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Postby Guest » 03/19/03 10:38 AM

There is a similar mathematical effect in vol. 3 of Paul Harris' Art of Astonishment -- Perfect Ten Paper Clip Paradox.
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Postby Mike Powers » 03/30/03 12:17 PM

Hi Dale,

I have some home video of Jim Ryan showing the "Perfect 10" puzzle to Dai Vernon at the Midwest Magic Jubilee in the early '80s. Jim used coins and had spectators toss new coins in. He'd make a move and then count. There were always 10 coins in each row. Cool puzzle.

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Postby John Smetana » 03/30/03 02:31 PM

Michael Weber had a version of this in"Lifesavers". If I recall correctly, it was titled"To Feed Many" If you use M&M's, or something similar, you can have your spectators take a piece of candy and still have the same number in each row.
In Steinmeyer's "Impuzzibilities" there's a neat version using a triangle, instead of the square, the theme being The Bermuda Triangle.

Best thoughts,
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