In a poultry farm, 50 hens give 200 eggs in 2 days. In how many days will 20 hens give 400 eggs

In a poultry farm, 50 hens give 200 eggs in 2 days. In how many days will 20 hens give 400 eggs? 

Answer 

Bit by bit clarification:

Given: 50 hens give 200 eggs in 2 days

To Find: how many days will 20 hens require to give 400 eggs

Hence,

Let the no. of hen be H1, no. of eggs E1, no. days D1 separately

Thus,                                

H₁=50, E₁=200, D₁= 2

We are supposed to find what amount of time will 20 hens require to give 400 eggs

Allow x to be the no. of days

So,

H₂= 20,  E₂= 400,    D₂=x

Therefore, the formula here will be

                                          (H₁ * D₁)/E₁ = (H₂ * D₂)/ E₂

                                          (50 * 2)/200 = (20 * x)/400

                                          (50 * 2) * 400/(200 * 20) = x

                                           Hence, x = 10

So we can conclude that 20 hens will take 10 days to lay 400 eggs.

Consequently 20 hens require 10 days to give 400 eggs.