#### 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 the number of deer be *x*.

Number of deer grazing in the field = `x/2`

Number of deer playing nearby = `3/4 xx "Number of remaining deer"`

`= 3/4 xx (x - x/2) = 3/4 xx x/2 = (3x)/8`

Number of deer drinking water from the pond = 9

`x - (x/2 + (3x)/8) =9`

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

`x - (7x)/8 = 9`

`x/8 = 9`

Multiplying both sides by 8, we obtain

*x* = 72

Hence, the total number of deer in the herd is 72.

Is there an error in this question or solution?

Solution 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. Concept: Some More Applications.