A) 90
B) 100
C) 120
Let the Number of Rabbits in the Zoo be : R
Let the Number of Pigeons in the Zoo be : P
Given : The Total Number of Heads : 200
We know that : Each Rabbit and Pigeon have One Head
⇒ R + P = 200 ———– [1]
Given : The Total Number of Legs are : 580
We know that : Each Rabbit has 4 Legs and Each Pigeon has 2 Legs
⇒ (4 × R) + (2 × P) = 580
⇒ 2R + P = 290 ———– [2]
Subtracting Equation [1] from Equation [2], We get :
⇒ (2R + P) – (R + P) = 290 – 200
⇒ 2R – R = 90
⇒ R = 90
Substituting R = 90 in Equation [1], We get :
⇒ 90 + P = 200
⇒ P = 200 – 90 ⇒ P = 110
⇒ The Number of Pigeons in the Zoo are : 110
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