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.

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Answer 1

Answer:

There are 72 deers in the herd.

Given:

• Half of a herd of deer are grazing in the field

• three fourths of the remaining are playing nearby.

• rest 9 are drinking water from the pond.

To find:

•  the  number of deer in the herd.

Solving Question:

Let us assume 'x' be the total number of deers .Then,according to the question ;

Half of a herd of deer are grazing in the field

⇒ Number of deer grazing = $\dfrac{1}{2}x$

[note: the remaining is only half of deers.]

three fourths of the remaining are playing nearby.

Number of deers playing = $\dfrac{3}{4}(\dfrac{1}{2}x)\\\\\implies \dfrac{3}{8}$

rest 9 are drinking water from the pond

⇒ $\dfrac{1}{2}x+\dfrac{3}{8}x+9=x\:\:[x=total\:no.of\:deers]$

Solution:

$\dfrac{1}{2}x+\dfrac{3}{8}x+9=x\\\\\\\\\implies \dfrac{4x+3x+72}{8}=x\:[as\:L.C.M\:is\:8]\\\\\\\\\implies 4x+3x+72=8x\\\\or,\:7x+72=8x\\\\or,\:-x=-72\\\\\implies x=72$

Thus , x = 72

∴ There are 72 deers in the herd.

Answer 2

Step-by-step explanation:

here is your answer ✌️✌️...........