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MYTS 2016 - Grade 5 - Round 2 Question 8

MYTS · MYTS 2016 - Grade 5 - Round 2

Question 8

Magic Wood has only three animal species: 12 snakes, 23 mice and 31 cats. When a snake eats a cat, it turns into a mouse. When a cat eats a mouse, it turns into a snake. When a snake eats a mouse, it turns into a cat. What is the greatest possible number of animals remaining when no animal can eat another?

Question illustration