# 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 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

65873191