Question

Half of a herd of Deer are grazing in the field and three fourth of the remaining are playing nearby . The rest 9 are drinking water from the pond.Finnd the number of Deer in the herd.​

Answer 1

$\huge \bf \blue{Question}$

Half of a herd of Deer are grazing in the field and three fourth of the remaining are playing nearby.The rest 9 are drinking water from the pond.Find the number of Deer in the herd!

$\huge \bf \blue{Answer}$

Let no. of deer in the herd=x

$\small \sf{ \star \: grazing = x \times \frac{1}{2} = \frac{x}{2} }$

$\small \sf{ \star \: playing = (x - \frac{x}{2}) \times \frac{3}{4} } \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \small\sf{( 2x - \frac{x}{2}) \times \frac{3}{4} } \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \small \sf{ \frac{x}{2} \times \frac{3}{4} = \frac{3x}{8} }$

$\small \sf{ \star \: drinking = 9}$

$\large \bf \red{A.T.Q.}$

x/2+3/8x+9=x

x/2+3/8x+x/1=-9

x(4)+3x(1)-x(8)/8=-9

4x+3x-8x/8=-9

7x-8x/8=-9

-1x/8=-9

x=-9×8/-1

x=72

Hence the answer is 72.