Question

Vinod has some cows and some hens in his shed. The total
number of legs is 92 and total number of heads is 29. Then
the number of hens in his shed is​

Answer 1

Given :

The number of legs = 92

The number of heads = 29

To find :

The number of hens in Vinod's shed .

Solution :

Let the number of cows be y and the number of hens be x .

The number of heads is 29 .

Then ,

x + y = 29         .....(i)

The number of legs is 92 .

Then ,

2x + 4y = 92     ......(ii)

multiplying equation (i) with 4 and subtracting equation (ii) from it ,

2x = 24

=> x = 12

The number of hens in Vinod's shed is 12 .

Answer 2

Step-by-step explanation:

Given that:

Vinod has some cows and some hens in his shed. The total number of legs is 92 and total number of heads is 29.

To find:

The number of hens in his shed is?

Solution:

As we know that both cow and hen has a head and cow has four legs wherever hen has two legs.

Let the total number of hen Vinod have are x

and total number of cows are y.

Case1:

Equation for head

$x + y = 29 \: \: \: \: ...eq1$

Case 2: Equation for legs

$2x + 4y = 92 \\ \\ x + 2y = 46 \: \: \: \: ...eq2$

Now subtract both eq1 and eq2

$x + y = 29 \\ x + 2y = 46 \\ ( - )( - ) \: \: \: ( - ) \\ - - - - - - \\ - y = - 17 \\ \\ y = 17$

Put the value of y in eq 1

$x + 17 = 29 \\ \\ x = 29 - 17 \\ \\ x = 12$

Thus, Vinod have 12 hens in shed.

Hope it helps you.