Question

total no. of legs in herd of goats and tens is 40. represent situation in 2 variables

Answer 1

*Hens.

Let there is x goats and y hens.

We know that,

1 goat = 4 legs

 x goats = 4x legs.

Now,

 1 hen = 2 legs

 y hen = 2 y legs

A/Q, 

 No. of legs of goat + No. of legs of hens = 40

 4x + 2y = 40.

Where ( x is number of goats and y is number of hens ).

Answer 2

Answer:

Given: Total number of legs in the herd = 40

The herd consists of goats and hens

To Find: Equation for the number of legs in linear equation in two variables

Solution:

Let each leg of a goat be x

Let each leg of a hen be y

We are aware that a goat has 4 legs and a hen has 2 legs

Total number of legs = Number of legs of goats + Number of legs of hens

Total number of legs = 4 x Each leg of a goat + 2 x Each leg of a hen

40  = 4x + 2y

20 = 2x + y

Therefore, the equation representing the situation is 20 = 2x + y, where x is each leg of a goat and y is each leg of a hen.