Question

One third of a herd of animals are grazing in the forest and two fifths of the remaining are
resting nearby a pond. The remaining six are drinking water from the pond. Find the number of
animals in the herd.

Answer 1

Answer:Let total no.of deer = x

half of the 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.

Step-by-step explanation: 72 deer

Step-by-step explanation:

Let the total number of deer be 'x'

Number of deer grazing in the 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 of right deer in the herd is 72.

Answer 2

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One third of a herd of animals are grazing in the forest and two fifths of the remaining are

resting nearby a pond. The remaining six are drinking water from the pond. Find the number of

animals in the herd.

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Let x be the total number of deer. x

2

deers are grazing in the field and 3

4

of 2x are playing.

There are 9 remaining deer.

∴ 3 × x +9= 2x

4 2

⟹ 3x − x = −9

8 2

⟹ −2x =−9

16

⟹ x=72

∴ 36 deers are grazing in the field and 27 are playing.

∴ no. of deers grazing − no. of deers playing =36−27=9 which is the multiple of 3 and 9.

hope it is helpful for you

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