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.

Solution

Let toral be ( x, quad ) Grazing ( =frac{x}{2} ), Remaining ( =x-frac{n}{2}=frac{x}{2} )

Playing ( =frac{3}{4} times frac{x}{2}=frac{3 x}{8}, ) Remaining ( =frac{x}{2}-frac{3 x}{8}=frac{x}{8} )

( therefore ) Drinking water ( =frac{x}{8}=9[text { given }] quad So,_{}, x=72 ) Deer