Question

One-fourth of birds of a flock are at a river bank and one-fifth of that flock are in their nest. Remaining 22 birds are wandering in search of food. What is the number of birds which are in their nest?

Answer 1

The number of birds which are in "their nest are 8 birds".

Step-by-step explanation:

Let the number of birds which are at a river bank $=\dfrac{1}{4}x$ and

the number of birds which are in their nest $=\dfrac{1}{5}x$

To find, the number of birds which are in their nest = ?

According to question,

Remaining =

$x-(\dfrac{1}{4}x+\dfrac{1}{5}x)=22$

⇒ $\dfrac{20x-(5x+4x)}{20}=22$

⇒ $20x-5x-4x=22\times 20=440$

⇒ $11x=440$

⇒ $x=\dfrac{440}{11} =40$

∴ The number of birds which are in their nest $=\dfrac{1}{5}\times 40$

= 8

Hence, the number of birds which are in "their nest are 8 birds".