# Solution #83: Water and Milk

They are both equally contaminated. The water contains exactly as much milk as
the milk contains water. The most elegant proof for this celebrated little
puzzle is as follows: It does not matter how many transfers are made between
the glasses or whether the contents are stirred. Provided that the volumes in
the two glasses are equal, then any water in the water glass must be in the
milk, there is nowhere else it can be. The milk that it has replaced must be
in the water glass. The water glass therefore contains as much milk as the
milk contains water.

Source: Sloane, Paul

Categories: Clever, Fractions, Favorite

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