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 total nos. be x
NOW.
x-(x/3+x/4)=15
5x/12=15
x=36
so there were 36 deers.

Answer 2

Answer:

36

Step-by-step explanation:

Let the total number of deer is x.

According to the question

A herd of deer has gone to the forest = $x\times\frac{1}{4}$

Deer is grazing in the field = $x\times\frac{1}{3}$

and remaining 15 are drinking water

Now we have to find the total number of deer:

So,

$x\times\frac{1}{4} + x\times\frac{1}{3} + 15 = x$

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

$15 = \frac{12x\ -\ 3x\ -\ 4x}{12} = \frac{12x\ -\ 7x}{12}$

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

$15\times12 = 5x$

$\frac{15 \times12}{5} = x$

$x = 36$

Hence the total number of deer is 36.