Question

One third of aherd of sheep are grazing in the field and five eight of the remaining are playing neqrby.The rest 24 are drinking water from the pond.Find the number of sheep in the herd?

Answer 1

Answer:

TOTAL NUMBER OF SHEEPS = 96

Step-by-step explanation:

Let the total number of sheeps be x.

1/3 rd of x are grazing in the field = x/3

Remaining = x-x/3 = 2x/3

5/8th of remaining are playing nearby = 5x/12

Rest 24 are drinking water.

ACCORDING TO THE QUESTION,

x - ( x/3 + 5x/12 ) = 24

x - (4x+5x/12) = 24

x - ( 9x/12 ) = 24

12x-9x/12 = 24

3x/12 = 24

x/4 = 24

x = 24×4

x = 96

THEREFORE, TOTAL NUMBER OF SHEEPS = 96

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Answer 2

Answer:

Total number of sheep are $96$.

Step-by-step explanation:

Let total sheep be $x$

Sheep grazing $=\frac{x}{3}$

Remaining $=x-\frac{x}{3} =\frac{2}{3}x$

$\frac{5}{8}$ of remaining are playing $=$$\frac{2}{3}x*\frac{5}{8} =\frac{5}{12} x$

Rest drinking water $=24$

As per the question data:

$x-(\frac{x}{3} +\frac{5x}{12} )=24$

$x-\frac{9x+5x}{12} =24$

Solving

$\frac{3x}{12} =24$

$x=24*4=96$

Total number of sheep are $96$

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