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National Math Olympiad in Slovenia

Algebra Difficulty 3.7 AMC 10/12 Find the answer Slovenia

In a zoo rabbits, parrots and snakes have 24 heads, 14 wings and 62 legs. How many snakes are there in this zoo?

Pick one

Solution

Rabbits and snakes have no wings and parrots have two wings each, so there are $14 \div 2 = 7$ parrots in the zoo. Thus, the parrots account for $7 \cdot 2 = 14$ legs. Snakes have no legs, so the rabbits have $62 - 14 = 48$ legs altogether. Each rabbit has $4$ legs, so there are $48 \div 4 = 12$ rabbits in the zoo, as well as $24 - 12 - 7 = 5$ snakes.

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