Question

Half of a herd of deer are are are
grazing in the field and three-fourths
the remaining are playing nearby. The
rest 9 are drinking water from the
pond. Find the number of deer in the
herd.
​

Answer 1

Let the total number of deer be 'x'

Number of deer grazing in field = 1x/2.

Number of deer playing nearby = 3/4 of 1x/2 = 3x/8.

Number of deer drinking water = 9

ATQ,

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

> (4x + 3x + 72)/ 8 = x

> 7x + 72 = 8x

> 8x - 7x = 72

> x = 72

Hence, the total number right deer in the herd is 72

Answer 2

Answer: 72

Step-by-step explanation:Let the no. of deer= x

No. of deer in the field= 1/2 x

No. of remaining deer= 3/4 (x/2) = 3x/8

No. of deer drinking water= 9

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

       LCM of 2,8=8

       8*x /2 + 8* 3x /8 + 8*9=8*x

       4x + 3x + 72=8x

       7x + 72=8x

       7x - 8x= -72

      -x = -72

       x = 72