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# 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. - CBSE Class 8 - Mathematics

ConceptSome More Applications

#### Question

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 the number of deer be x.

Number of deer grazing in the field = x/2

Number of deer playing nearby = 3/4 xx  "Number of remaining deer"

= 3/4 xx (x - x/2) = 3/4 xx 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

Multiplying both sides by 8, we obtain

x = 72

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

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#### APPEARS IN

NCERT Solution for Mathematics Textbook for Class 8 (2018 to Current)
Chapter 2: Linear Equations in One Variable
Ex. 2.40 | Q: 8 | Page no. 32
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. Concept: Some More Applications.
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