Multiple choice general knowledge

A person has certain number of cows and birds. They have 172 eyes and 344 legs. How many cows and birds does he have?

  1. 0 birds and 86 cows

  2. 10 birds and 80 cows

  3. 86 birds and 0 cows

  4. None of the above
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A Correct answer
Explanation

Let x = cows, y = birds. Each cow has 2 eyes and 4 legs; each bird has 2 eyes and 2 legs. Total eyes: 2x + 2y = 172, so x + y = 86. Total legs: 4x + 2y = 344. Solving: from x + y = 86, y = 86 - x. Substituting: 4x + 2(86 - x) = 344, so 4x + 172 - 2x = 344, 2x = 172, x = 86 cows, y = 0 birds. This satisfies both equations.

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