# 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

**Solution:**

Let's form a linear equation for the given problem statement.

Let the number of deer be x

Number of deer grazing in the field = x / 2

Number of deer playing nearby

= (3/4) × [Number of remaining deer]

= (3/4) × [x - x/2]

= (3/4) × (x/2)

= 3x/8

Number of deer drinking water from the pond = 9

⇒ x - (x/2 + 3x/8) = 9

⇒ x - (4x + 3x)/8 = 9

⇒ x - 7x/8 = 9

⇒ x/8 = 9

Hence, x = 72

Hence, the total number of deer in the herd is 72.

**Video Solution:**

## 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.

### NCERT Solutions Class 8 Maths - Chapter 2 Exercise 2.4 Question 8

**Summary:**

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. The number of deer in the herd is 72.