Question

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

Answer 1

Answer: 72 deer

Step-by-step explanation:

Let the total number of deer be 'x'

Number of deer grazing in field = 1x/2.

Number of deer playing nearby = 3/4 of 1x/2 = 3x/8.

Number of deer drinking water = 9

ATQ,

1x/2 + 3x/8 + 9 = x

> (4x + 3x + 72)/ 8 = x

> 7x + 72 = 8x

> 8x - 7x = 72

> x = 72

Hence, the total number right deer in the herd is 72.

Answer 2

Given:

Half of a herd of deer are grazing in the field and three fourth of the remaining are playing nearby. The rest 9 are drinking water from the pond.

To find:

The number of deer in the herd.

Solution:

Let the total number of deer in the herd be x.

Now,

according to the question,

The number of deer that are grazing in the field

$= \frac{x}{2}$

So,

the remaining deer

$= \frac{x}{2}$

Also,

The number of deer playing nearby

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

$= \frac{3x}{8}$

The number of deer drinking water from the pond

$= 9$

So,

$x = \frac{x}{2} + \frac{3x}{8} + 9$

On multiplying both sides by 8, we get

$8x = 4x + 3x + 72$

$8x = 7x + 72$

$x = 72$

Hence, the number of deer in the herd is 72.