Question

one one fourth of birds of a clock are at the riverbank and one fifth of the flock are in the nest remaining 22 birds are wondering in search of food what is the number of birds which are in the nest​

Answer 1

Answer:

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Answer 2

The number of birds in the nest = 8

Step-by-step explanation:

Let  the number of birds at the riverbank $=\dfrac{1}{4}x$,

the number of birds in the nest $=\dfrac{1}{5}x$ and

The remaining birds = 22

To find, the number of birds in the nest  = ?

∴ The remaining birds $=x-(\dfrac{1}{4}x+\dfrac{1}{5}x)$

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

⇒ $\dfrac{20x-(5x+4x)}{20} =22$

⇒ $20x-(5x+4x)=22\times 20=440$[/tex]

⇒ 11x = 440

⇒  $x=\dfrac{440}{11}=40$

∴ The number of birds in the nest = $\dfrac{1}{5}\times 40=8$

Hence, the number of birds in the nest = 8