Question

One fourth of a herd of deer has gone to the forest. One third of the total number is grazing in a field and remaining $15$ are drinking water on the bank of a river. Find the total number of deer.

Answer 1

Let the total number of deers be $x.$

No. of deers in the forest $=\frac{x}{4}$

No. of deers in the field $=\frac{x}{3}$

No. of deers drinking water $=15$

Total number of deers =$\frac{x}{4}+\frac{x}{3}+15=x$

$\frac{3x}{12}+\frac{4x}{12}-x=-15$

$\frac{7x}{12}-\frac{12x}{12}=-15$

$\frac{-5x}{12}=-15$

$\frac{5x}{12}=15$

$5x=15\times 12$

$5x=180$

$x=\frac{180}{5}$ $=36$

The total number of deers are $36.$