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.​

Answer 1

⇝ Given :-

• Half of a herd of deer are grazing in the field and three-fourths of the remaining are playing.

• The rest 9 are drinking water from the pond.

⇝ To Find :-

• The number of deer in the herd.

⇝ Solution :-

Let The number of deer in the herd be = x.

❒ According To Question :

$\bigstar$ Half of a herd of deer are grazing in the field

$\red {:\longmapsto \rm Number \: of \: deers\: grazing = \dfrac{x}{2} }$

Therefore,

${:\longmapsto \rm Remaining \: Deers = \dfrac{x}{2} }$

❒ According To Question :

$\bigstar$ Three-fourths of the remaining are playing.

 Number of Deers playing =$\rm {\dfrac{3}{4} \: of \: \dfrac{x}{2} }$

$= \rm{\dfrac{3}{4} \times \dfrac{x}{2} }$

$\red {:\longmapsto \rm Number \: of \: deers\: Playing = \dfrac{3x}{8} }$

Also the other 9 deer are drinking.

Therefore,

$\rm { Total \: number \: of \: deers = \dfrac{x}{2} + \dfrac{3x}{8} + 9 }$

$= \rm \frac{4x + 3x + 72}{8}$

$= \rm \frac{7x + 72}{8}$

As according to Assumption total number of Deers = $\rm x$

Therefore,

$:\longmapsto \rm x = \frac{7x + 72}{8}$

$:\longmapsto \rm 8x = 7x + 72$

$:\longmapsto \rm 8x - 7x = 72$

$\purple{ \large :\longmapsto  \underline {\boxed{{\bf x = 72} }}}$

Hence,

$\large\underline{\pink{\underline{\frak{\pmb{\text Number \: of \: Deers \: in \: Herd = 72 }}}}}$

Answer 2

Answer:

Given :-

• 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.

□To prove :-

• The number of deer in the herd.

□Explanation :-

• In the given question half of the deer are grazing in the field and three fourth of the remaining are playing nearby.The rest 9 are drinking water from the pond.

• Here,

□Let,

• The number of deer in the herd be= x.

• In the question given that ,
• Half of the deer are grazing in the field becomes,

• $number \: of \: deer \: grazing = \frac{x}{2}$

□And,

• Three fourth of the remaining deers are nearby becomes,
• $number \: of \: deers \: playing = \frac{3}{4}$

• Here by multiplying ,

• $= \frac{3}{4} \times \frac{x}{2}$
• $= \frac{3x}{8 \: } is \: the \: number \: of \: deers \: playing$
• And also given,
• Other rest 9 deers are drinking water from the pond ,

□Therefore ,

○To find total number of deers we should add all of the values So,

• $total \: no. \: of \: deers = \frac{x}{2} + \frac{3x}{8} + 9$
• $= \frac{4x + 3x + 72}{8} = \frac{7x + 72}{8} =$
• $x = \frac{7x + 72}{8} = 8x = 7x + 72 = 8x - 7x = 72$
• $x = 72.$

$Therefore \: the \: total \: number \: of \: deers \: in \: herd will be = x = 72$

♧Refer for more information

• https://brainly.in/question/1762737?
• https://brainly.in/question/6117263?
• https://brainly.in/question/16040776?
• https://brainly.in/question/18724780?
• https://brainly.in/question/16214362?
• search on web..

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