# 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?

What if applet does not run? |

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 increase a number click a little to the right of its vertical center line; to decrease it, click on the left.) A glass need not be full, but when pouring water there are two possibilities. Either the "to" glass becomes full, or the "from" glass becomes empty. 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.

- The Three Jugs Problem. Introduction and a story
- 3 Glasses Puzzle
- Water puzzle, experimental math
- Three Glass Puzzle (Graph Theoretical Approach)
- The puzzle in barycentric coordinates
- Two Pails Puzzle
**Plain Gadgets**- The Three Jugs Problem. An Interactive Gizmo
- The Three Jugs Problem. Barycentric/trilinear coordinates
- The 2 Pails Puzzle. An Interactive Gizmo

- 3 Jugs Problem - A Water Doubling Variant

|Activities| |Contact| |Front page| |Contents| |Algebra|

Copyright © 1996-2018 Alexander Bogomolny

71732154