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.

☛ Check: Class 8 Maths NCERT Solutions Chapter 2

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.

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