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In a zoo there are rabbits and pigeons. If their heads are counted these are 90 while their legs are 224. What is the number of pigeons in the zoo?

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answer is B.

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Detailed Solution

Given, total heads

= 90

and total legs

= 224

.
Let the number of rabbits be

x

.
Number of heads

= 90

\Rightarrow

Number of pigeons

= (90 - x)

.
Since a pigeon has

2

legs and a rabbit have 4 legs.

x \times 4 + (90 - x) \times 2 = 224

\Rightarrow

4 x + 180 - 2 x = 224

\Rightarrow

2 x = 224 - 180 = 44

\Rightarrow x = 22

Number of pigeons

= 90 - 22 = 68

.
Hence, the correct option is 2.

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