Question

in a farm there are pigs and hens if the no. of hens of total animals is 30 and no. of legs of total animals is 74. find no. of pigs and hens​

Answer 1

Step-by-step explanation:

Let no. of hens be x and no. of cows be y. For heads the equation is

x + y = 50 (head count is 50)

For legs the equation is

2x + 4y =144 (2 legs of hen and 4 legs of cow assuming that none are missing any limbs)

From head count equation

y = 50 - x

substituting this in leg count equation we get

2x + 4(50 - x) = 144

2x + 200 - 4x = 144

-2x = 144 - 200

-2x = - 56

x = 28

Substituting in headcount equation we get

y = 50 - 28

So y = 22

So there are 28 hens and 22 cows on the farm.