Question

Total number of legs in a herd of goats and hens is 40.represent this situation in the form of a linear equation in two variables

Answer 1

let the no. of goats be 'x' and the no. of hens be 'y'

total number of legs = 4*(no. of goats) + 2*(no. of hens) = 40

∴ the linear equation becomes,

4x + 2y = 40

or, 2x + y = 20

Answer 2

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.