Question

half of a heard of deer are grazing in the field and three fourths of the remaining are playing nearby. the rest I are drinking water from the pond . find the number of deer in the herd​

Answer 1

Let total no.of deer = x half of herd =x/2 3/4 of remaining half herd = x/2)(3/4) =3x/8

remaining deer=9 x=(x/2)+(3x/8)+9 x=(4x+3x+72)/8 8x=7x+72 8x-7x=72 x=72

total no.of deers are 72.

Answer 2

Answer:

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Step-by-step explanation:

Let total no.of deer = x

half of herd =x/2

3/4 of remaining half herd =(x/2)(3/4)

                                         =3x/8

remaining deer=9

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

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

8x=7x+72

8x-7x=72

x=72

∴total no.of deers are 72.

                                           or

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.