Question

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

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Answer 1

Step-by-step explanation:

let the total no. of deer = x

deer grazing in the field = $\frac{x}{2}$

deer playing = $\frac{x}{2}× \frac{3}{4} = \frac{3x}{8}$

A/q

$\frac{x}{2}+\frac{3x}{8}+9 = x$

⇒$\frac{4x+3x+72}{8} = x$

⇒4x+3x+72 = 8x

⇒7x+72 = 8x

⇒8x-7x = 72

⇒x = 72

So, the no. of deer in the herd = 72

Answer 2

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4x+3x+72 = 8x

4x+3x+72 = 8x⇒7x+72 = 8x

4x+3x+72 = 8x⇒7x+72 = 8x⇒8x-7x = 72

4x+3x+72 = 8x⇒7x+72 = 8x⇒8x-7x = 72⇒x = 72

4x+3x+72 = 8x⇒7x+72 = 8x⇒8x-7x = 72⇒x = 72So, the no. of deer in the herd = 72