Question

Half of a herd of deer are grazing in the field and three fourth of the remaining are playing rest 9 a drinking water from the pond find the number of deer in the heard

Answer 1

Let total number of deer = x

1/2 x deer grazing

(3/4) of 1/2 x playing and remaining (1/4) of 1/2 x = 9, solving for x

(1/4) of 1/2 x = 9

1/4 * 1/2 * x = 9

1/8 * x = 9

x = 72

hence total deer = 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