Q.8 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 the pond. Find the number of deer in the herd.

Answers (1)

Let us assume the number of deer in the herd to be x.

Half of a herd of deer are grazing in the field i.e.,   \frac{x}{2}.

Now half are remaining.

Three fourths of the remaining are playing nearby, implies : 

                                      \frac{3}{4}\times \frac{x}{2} = \frac{3x}{8}

Remaining number of deer will be : 

                                       \frac{x}{2} - \frac{3x}{8} = \frac{4x - 3x}{8} = \frac{x}{8}

Given that rest are 9, so 

                                   \frac{x}{8} = 9

Hence number  of deer in the herd = 72

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