1/5 of a flock of sheep is grazing in the field while three fourths of the remaining are sitting nearby if rest 20 are drinking water from the pond the total number of sheep in the flock is
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Step-by-step explanation:
let no.of sheeps=x
So grazing in the field =(1/5)x
sitting sheeps=4/5×3/4x
= \frac{3x}{5}=
5
3x
rest sheeps =20
but rest sheeps=
x - \frac{x}{5} - \frac{3x}{5}x−
5
x
−
5
3x
= \frac{x}{5}=
5
x
\begin{gathered}so \: \frac{x}{5} = 20 \\ x = 100\end{gathered}
so
5
x
=20
x=100
so no.of sheeps in flock are 100
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