Question

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

Answer 1

Let the Total no. of deer be x

x/2 + 1/2(3x/4) + 9 = x

3/8x + 1/2x + 9 = x

3/8 + 1 × 4/8x + 9 = x

(3 + 4)x/8 + 9 = x

Transposing x to the other side so it will be -x and transposing 9 to the other side so it will be -9

7x/8 - 8x/8 = -9

-x/8 = -9

Transpose /8 to the other side so it will become ×8

-x = -9 × 8

-x = -72

x = 72 (Because both minus signs killed each other or it got cancelled)

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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