Question

Half of a herd of deer are glazing in the filed and three fourth of remaining are playing nearby. The rest $9$ are drinking water from pond. Find number of deer in the herd

Answer 1

Let number of deer be $x$
No. of deer grazing: $\frac{x}{2}$
No, of deer playing nearby $=\frac{3}{4}$ No. of remaining deer
$=\frac{3}{4}(x-\frac{x}{2})$

$=\frac{3}{4}\times \frac{x}{2}=\frac{3x}{8}$

No. of deer drinking water from pond $=9$
$x-(\frac{x}{2}+\frac{3x}{8})=9$

$x-\left(\frac{4x+3x}{8}\right)=9$

$x-\frac{7x}{8}=9$

$\frac{x}{8}=9$

$x=72$
Total no. of deer $=72$