Cut the knot: learn to enjoy mathematics
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The Three Jugs Problem

Two friends who have an eight-quart jug of water wish to share it evenly. They also have two empty jars, one holding five quarts, the other three. How can they each measure exactly 4 quarts of water?

alt="Your browser understands the <APPLET> tag but isn't running the applet, for some reason." Your browser is completely ignoring the <APPLET> tag!

This applet requires Sun's Java VM 2 which your browser may perceive as a popup. Which it is not. If you want to see the applet work, visit Sun's website at http://www.java.com/en/download/index.jsp, download and install Java VM and enjoy the applet.


Buy this applet

To pour water, first click on the "from" jug and then on the "to" jug. You can specify capacities of jugs by first checking the Capacity button. Subsequently click on the numbers below the glasses. Similarly, you may specify the initial quantities of water in each jug by first checking the Water button. To return to the puzzle check the Play button.

You can always take a move Back, or even Reset the puzzle to its starting point.

  1. 3 Glasses Problem
  2. Puzzle Investigation
  3. Application of Graph Theory
  4. The puzzle in barycentric coordinates
  5. Explanation
  6. Two Pails Puzzle.

Copyright © 1996-2008 Alexander Bogomolny

 

 

 

 

 

 

 

 

 

 

28678148Page copy protected against web site content infringement by Copyscape


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