Q. 44.0( 44 Votes )

The total number of lions and peacocks in a certain zoo is 50. The total number of their legs is 140. Then find the number of lions and peacocks in the zoo.

Answer :

Let the number of lions be 'x' and peacocks be 'y'


Given, Total no of lions and peacocks is 50


x + y = 50


x = 50 - y eq.[1]


Also, Total no of their legs is 140, as lion has four legs and peacocks has 2 legs


4x + 2y = 140


4(50 - y) + 2y = 140


200 - 4y + 2y = 140


2y = 60


y = 30


Using this in eq.[1]


x = 50 - 30 = 20


Therefore,


No of lions, x = 20


No of peacocks, y = 30


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