Question

Half of a herd of deer are grazing in the field and
three fourths 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:

Step-by-step explanation:

Let the number of deer in the herd be x.

Number of deers who are grazing = 1/2x.

Remaining deers = 1/2x.

Number of deers who are playing nearby = 3/4 × 1/2x = 3/8x

Remaining deers = 1/8x

According to Question,

1/8x = 9

x = 72

Answer 2

Step-by-step explanation:

let the total number of deer = x

$number \: of \: deer \: which \: are \: grazing \: in \: \\ thefield = \frac{x}{2}$

$number \: of \: playing \: deer \: = \frac{3}{4} x$

so

$\frac{x}{2} \ + \frac{3}{4} x + 9 = x$

$\frac{2x + 3 x + 36}{4} = x$

$4x = 2x + 3x + 36$

$4x = 5x + 36$

$x = 36$