Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP Posting-Version: version B 2.10.2 9/5/84; site sunybcs.UUCP Path: utzoo!watmath!sunybcs!ugfailau From: ugfailau@sunybcs.UUCP (Fai Lau) Newsgroups: net.puzzle Subject: Re: Mixing Liquids (SPOILER!!) Message-ID: <2955@sunybcs.UUCP> Date: Wed, 19-Mar-86 08:31:54 EST Article-I.D.: sunybcs.2955 Posted: Wed Mar 19 08:31:54 1986 Date-Received: Fri, 21-Mar-86 03:40:07 EST References: <1907@trwrba.UUCP> <184@winston.UUCP> Organization: SUNY/Buffalo Computer Science Lines: 32 > > Here is an interesting puzzle, which I must confess I already know the > answer to, but would like to know the ELEGANT solution. I will post a > summary if there is sufficient response. > > 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.... > The answer is neither one. Since the resulted volumns of both liquids haven't changed, and they are equal to begin with, whatever amount of original liquid one container loses must be replaced by the same amount of liquid which are originally found in the other container. So it follows that the other container loses the exact same amount of its original liquid. And the solution goes that the two containers eventually not only have the same amount of their original liquids, but the same amount of foreign liquids as well. +-----------------------------------------------------------------------------+ | Fai Lau | | ECE / CS SUNYAB | | BI: ugfailau@sunybcs | +-----------------------------------------------------------------------------+