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From: twb@mhuxh.UUCP (twb)
Newsgroups: net.puzzle
Subject: Re: Mixing Liquids (SPOILER!!)
Message-ID: <342@mhuxh.UUCP>
Date: Fri, 21-Mar-86 09:19:48 EST
Article-I.D.: mhuxh.342
Posted: Fri Mar 21 09:19:48 1986
Date-Received: Sat, 22-Mar-86 22:33:43 EST
References: <1907@trwrba.UUCP> <184@winston.UUCP> <2955@sunybcs.UUCP>
Organization: AT&T Bell Laboratories, Murray Hill
Lines: 22

> Puzzle:
> 
>     Take a half a cup of tea, and a half a cup of coffee.
>     Take one tablespoon of the tea and mix it in with the coffee.
>     Take one tablespoon of the mixture and mix it back in with the tea.
> 
>     The question is, which of the two cups (if either) contains more of 
>     its original contents, and WHY.
> 
> Remember, I'm looking for simple, elegant solutions here....
> 

1. T represents Tea, C represents Coffee
2. Start with 8 tbl(=1/2cup) of each.	8T	 	8C
3. Coffee get 1T			7T		8C+1T
4. 1 tbl of the C mixture
	is 1/9T+8/9C
5. Put that into the T cup		7 1/9T+ 8/9C	7 1/9C+ 8/9T
6. Each cup has 7 1/9 tbl of the original contents and 8/9 tbl of
	the other liquid.
QED
Tom.