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.

Let the total number of deer in the herd be x.
According to question,
x=x/2+3/4x(x-(x/2)+9
⇒ x=x/2+3/4(2x-x/2)+9
⇒ x=x/2+3/4X x/2 + 9
⇒ x=x/2+3/8 x + 9
⇒ x-x/2 – 3x/8 =9
⇒ 8x-4x-3x/8=9
⇒ x/8=9
⇒ x=9×8=72
Hence, the total number of deer in the herd is 72.

Class 8 Maths Chapter 2 Exercise 2.4 Solution in Video

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