Question

8. Half of a herd of deer are grazing in
the field and three fourth of the
sremaining are playing nearby. The rest
9 are drinking
water
from the pond.
find the number of deer in the heard.
​

Answer 1

Answer:

Let the no. of deer on the herd be x.

then, the no. of deer grazing in the field

= x/2

& remaining deer playing nearby is 3

4

the rest drinking water are = 9

according to the question

x = x/2 + (x - x/2 ) × 3/4 + 9

x = x/2 + ( 2x-x ) × 3/4 + 9

2

x = x/2+x/2×3/4+9

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

x = 4x+3x +9

8

x = 7x/8 +9

x-7x/8 = 9

8x-7x = 9

8

x/8 = 9

x = 8 × 9

x = 72

Hence no. of deer in the herd = 72