Question

Third part of herd of deer are grazing in a field and 5 more than half of remaining are playing nearby. The rest 4 are drinking water in Lake. Find the number of deer in the herd​

Answer 1

LET THE NUMBER OF DEER IN HERD BE 'x'.

3rd part of x =deer grazing in field.

1/2 of x +5 deer are playing.

4 deer are drinking water.

Number of deer in Herd = (1/3 of x) + (1/2 of x + 5) + 4

x = x/3 + (x/2 + 5 )+ 4

x = x/3 + x/2 + 5 + 4

x = \frac{x}{3} +\frac{x}{2} +\frac{5}{1} +\frac{4}{1}

3

x

+

2

x

+

1

5

+

1

4

x = \frac{2x +3x + 5* 6 + 4* 6}{6}

6

2x+3x+5∗6+4∗6

x = \frac{2x + 3x + 30 + 24}{6}

6

2x+3x+30+24

6 * x = 2x + 3x + 30+ 24

6x = 5x + 54

6x - 5x = 54

x = 54

x = number of deer = 54

ANSWER = 54 Deer in Herd

_________________________________________________

Let us verify -

1/3 of 54 = 18

1/2of 54 + 5 = 27 + 5 = 32

Rest = 4

Total Deer = 18 + 32 + 4

= 54

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