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IKMC 2014 - Grades 11-12 - Self-study Question 30

IKMC · IKMC 2014 - Grades 11-12 - Self-study

Question 30

A magical island initially has 17 goats, 55 wolves and 6 lions. A wolf eating a goat becomes a lion; a lion eating a goat becomes a wolf; a lion eating a wolf becomes a goat. Eventually no more eating is possible. What is the greatest possible number of animals remaining?
  1. 1
  2. 6
  3. 17
  4. 23
  5. 35