Question

One third of the herd of cows are grazing in the field,20 less than half of them are near the river.The remaining 35 are tied with the trees.Find the total no. of cows in the field.

Answer 1

Answer:

Let the total no. of cows be a

According to question

No. of cows grazing = x/3

No. of cows near river = (x/2) - 20

No. of cows left = 35

Total cows - (No. Of cows grazing + No. Of cows near the river) =No. of cows left

=> x - (x/3+x/2 - 20) = 35

=> x - (2x+3x - 120)/6 = 35

=> (6x - 5x +120) = 35*6

=> x + 120 = 210

=> x = 90

Total no. of cows = 90

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Answer 2

ANSWER:

The total number of cows = 90

ASSUMPTION:

Let the number of cows be x

GIVEN:

x/3 cows are grazing.

(x/2) - 20 cows are near the river.

35 cows are tied in the trees.

TO FIND:

The total number of cows.

EXPLANATION:

$x = \frac{x}{3} + \frac{x}{2} - 20 + 35 \\ \\ x = \frac{2x + 3x}{6} + 15 \\ \\ x = \frac{5x + 90}{6} \\ \\ 6x = 5x + 90 \\ \\ x = 90$

TOTAL NUMBER OF COWS IS EQUAL TO 90.

VERIFICATION:

x/3 cows are grazing = 90/3 = 30

(x/2) - 20 cows are near the river = 90/2 - 20 = 45 - 20 = 25

35 cows are tied in the trees

TOTAL NUMBER OF COWS = 30 + 25 + 35 = 90

HENCE VERIFIED.