I will probably publish my solution on Wednesday. I am waiting for your answers (see below what I mean with an "answer") until Wednesday noon to Andreas Binder.
There are three species of animals in a magic forest: lions, wolves and goats. Wolves can devour goats, and lions can devour wolves and goats. ("The stronger animal eats the weaker one".) As this is a magic forest, a wolve, after having devoured a goat, is transmuted into a lion; a lion, after having devoured a goat, is transmuted into a wolve; and a lion having devoured a wolve becomes a goat.
At the very beginning, ther are 17 goats, 55 wolves and 6 lions in the forest. After every meal, there is one animal fewer than before; therefore after some time, there is no devouring possible any more.
What is the maximum number of animals who can live in the forest then?
A super-correct answer in my understanding
A correct answer contains
(a) the number of animals left,
(b) a devouring strategy leading to this number
(c) the proof that this is the maximal possible number of animals left.
Two versions of the puzzle: The even more difficult one.
The even more difficult one does not give you possible answers for (a). This is thought for the geniuses among you.
The kangaroo version is a multiple choice test, giving you 5 possible answers. I will write down these possible answers below the pictures. Therefore, geniuses, stop reading now.
|Image Source: http://commons.wikimedia.org/wiki/File:Hausziege_in_Tarbes-Tierpark.jpg|
|Image source: http://commons.wikimedia.org/wiki/File:Canis_lupus_lupus_prague_zoo.jpg|
|Image Source: http://commons.wikimedia.org/wiki/File:Barbary_lion.jpg|
The multiple choice answers at the math kangaroo were