Question

there are some hens and goats in a farm . total 50 animals. if you count their legs, there are totsl 144 legs. how many hens and how many goats are there?

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Answer 1

Answer:

28 dogs

22 goats

Step-by-step explanation:

Let no. of dogs be x and no. of goats 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 dogs and 4 legs of goats 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 dogs and 22 goats on the farm.

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Answer 2

Answer:

28 dogs and 22 goats is the right answer