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A farmer divides his herd of 140 cows among his four sons such that the ratio in which 3 sons get the cows is 1/2 : 1/4 : 1/5 the fourth son gets 7 cows. How many cows are received by first son?

A farmer divides his herd of 140 cows among his four sons such that the ratio in which 3 sons get the cows is 1/2 : 1/4 : 1/5 the fourth son gets 7 cows. How many cows are received by first son? Correct Answer 70

GIVEN:

A farmer divides his herd of 140 cows among his four sons such that the ratio in which 3 sons get the cows is 1/2 : 1/4 : 1/5 the fourth son gets 7 cows.

CONCEPT:

Basic ratio concept.

CALCULATION:

Ratio in which 3 sons get the cows

= 1/2 : 1/4 : 1/5

= 10 : 5 : 4

Fourth son gets 7 cows.

So,

(10 + 5 + 4)a + 7 = 140

19a = 133

a = 7

Hence,

Number of cows are received by first son = 10a = 70

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