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:

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

Answer 2

Answer:

The total number of deer in the herd = 72

Step-by-step explanation:

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

Number of deer grazing in the field = $\frac{1}{2}$ y

Remaining   =    y  - $\frac{1}{2}$y  

                    =  $\frac{1}{2}$y

Number of deer playing = $\frac{3}{4}$×$\frac{1}{2}$y  

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

Total no: of deer = No: of deer grazing + No: of deer playing + No : of deer drinking water

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

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

8y        =      4y + 3y  + 72

8y –4y -3y    =   72

y              =   72

∴The total number of deer in the herd = 72