Question

One-fourth of the herd of deer have gone to the forest. One third of the total number are grazing in a field and the remaining 15 are drinking water on the bank of river. Find the total number of deer

Answer 1

Let the total number of deers be x

Number of deers in the forest are one-fourth = $\dfrac{1}{4}$x

Number of deers in the field are one-third = $\dfrac{1}{3}$x

Number of deers drinling water = 15


According to the question,

$\dfrac{1}{4}x + \dfrac{1}{3}x \: + \: 15\:=\:x$

Multiply both the sides by 12

➾ 3x + 4x + 180 = 12x

➾ 7x + 180 = 12x

➾ 7x - 12x = -180

➾ -5x = -180

➾ x = 36




∴ Total number of deers are $\underline{\underline{\bold {36}}}$

Answer 2

$\underline{\underline{\Huge\mathfrak{Answer ;}}}$

Dear ,

Your Answer is ; 36 Deers.

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• Step by Step Explanation ;-
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Assuming the Total number of deers as y.

$\frac{1}{4}y \: deers \: are \: in \: forest.$

$\frac{1}{3} y \: deers \: are \: on \: the \: field \:.$

$tolal \: number \: of \: deers \: drinling \: in \: water \: = 15$

Now ,
ATQ ;-

$\frac{1}{4} y + \frac{1}{3} y + 15 = y$

Multiplying RHS and LHS with 12.

$= > 3y + 4y + 180 = 12y$
$= > 7y + 180 = 12y$
$= > 7y - 12y = - 180$
$= > - 5y = - 180$
$= > y = \frac{ - 180}{ - 5} = 36$

Therefore,
36 is the Total number of deers.

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