Cut the knot: learn to enjoy mathematics
A math books store at a unique math study site. Learn to enjoy mathematics.
Terms of use
Privacy Policy

More Mathematics
CTK Exchange

Games to Relax
Guest book
Recommend this site

Sites for teachers
Sites for parents

Manifesto: what CTK is about Buying a book is a commitment to learning Things you can find on CTK Email to Cut The Knot Recommend this page

2 Pails Puzzle

A farm hand was sent to a nearby pond to fetch 8 gallons of water. He was given two pails - one 11, the other 6 gallons. How can he measure the requested amount of water?

(Two containers and a pond are depicted in the right-hand side of the applet. To pour water, first click on the "source" and then on the "receiver" object.

The grid in the left-hand side of the applet is to help you solve the problem. A = 11 and B = 6. Every possible distribution of water in the two pails is described by a grid point (x, y), where x stands for the quantity of water in the first pail, y that in the second.)

alt="Your browser understands the &lt;APPLET&gt; tag but isn't running the applet, for some reason." Your browser is completely ignoring the &lt;APPLET&gt; tag! <hr> <h3> 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, download and install Java VM and enjoy the applet. </h3> <hr>

Copyright © 1996-2008 Alexander Bogomolny