Question

A farmer has 100 sheep & hen . They have 356 legs . How many are the sheep and hen .

Answer 1

Answer:

78 hens and 22 sheeps

Step-by-step explanation:

A farmer has total 100 (sheeps + hens)

Now,

A sheep has 4 legs

and, a hen has 2 legs

Let us consider the number of hens as x and number of sheep as y

therefore,

2y + 4x = 356

2(y + 2x) = 356

y + 2x = 356 / 2

y + 2x = 178 .........(1)

also,

y + x = 100 .........(2)

Subtracting eqn. 2 from 1

y + 2x = 178

-

y + x = 100

_________

0 + x = 78

Substituting x = 78 in eqn. 2

y + x = 100

y + 78 = 100

y = 100 - 78

y = 22