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In a Zoo, there are Rabbits and Pigeons. If heads are counted, there are 200 heads and if legs are counted there are 580 legs. How many pigeons are there?

In a Zoo, there are Rabbits and Pigeons. If heads are counted, there are 200 heads and if legs are counted there are 580 legs. How many pigeons are there? Correct Answer 110

The logic followed is:

A Rabbit has 4 legs and a Pigeons has 2 legs.

Let x be the number of rabbit and y be the numbers of pigeons in the zoo.

Then,

4x + 2y = 580

∴ 2x + y = 290 ⇒ equation 1

And

x + y = 200

∴ y = 200 – x

Substituting y in eq. 1,

2x + 200 - x = 290

∴ x = 90

Thus,

y = 110

So, the number of rabbit is 90 and number of pigeons is 110. 

Hence, the correct answer is "110".

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