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

Let the total number of deer be x

Deer grazing => $\frac{1}{2}$x

Deer playing =>$\frac{3}{4}$($\frac{1}{2}$x)

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

$\frac{1}{2}$x+$\frac{3}{8}$x+9=x

$\frac{1}{2}$x+$\frac{3}{8}$x−x=−9

$\frac{4x+3x₋8x}{8}$=−9

4x+3x−8x=−72

7x−8x=−72

−x=−72

x=72

Answer: The total number of deer is 72.

Answer 2

Answer:

the number of deers in the herd are 72

Step-by-step explanation:

let the number of deers in the herd = X

no. of deers grazing in the field = X/2

no. of deers playing nearby = 3/4 of X/2

                                           = (3/4)(X/2)

                                           = 3 X / 8

no. of deers drinking water from nearby pond = 9

according to the question,

9 + X/2 + 3 X / 8 = X

9 + 4 X/8 +3 X/8 = X

9 + 7 X/8 = X

9 = X - 7 X/8

9 = 8 X/8 - 7 X/8

9 = X/8

X = 8×9

X = 72

total number of sheeps = 72