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 pond.find the number of deer in the herd.

Answer 1

Let the no. of deers be x.

Then, grazing- x/2

playing- 3/4 × x/2
= 3x/8

drinking- 9


$\frac{x}{2} + \frac{3x}{8} + 9 = x \\ \frac{x}{2} + \frac{3x}{8} - x = - 9 \\ \frac{4x + 3x - 8x}{8} = - 9 \\ \frac{ x}{8} = 9 \\ x = 72$
so, answer is 72

plz mark brainliest

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