Question

A farmer has 182 animals out of which 6/7 are cattle.Among the cattles,2/3 are dairy cows.How many dairy cows does he have?​

Answer 1

Answer:

Out of 84, 2/3 of cattle are the dairy cow. = 56. There are 56 dairy cows.

Answer 2

Answer: 104.

Given:

$\sf Total\:animals=182$

$\sf Out\:of\:which\:\dfrac{6}{7}\:are\:cattle\:and\:among\:the\:cattles\:\dfrac{2}{3}\:are\:cows.$

To find:

$\sf Number\:of\:cows.$

Explanation:

$\sf According\:to\:the\:question,$

$\sf 182\:are\:total\:animals\:out\:of\:which\:\dfrac{6}{7}\:are\:cattle.$

$\sf \therefore 182\times\cfrac{6}{7}=26\times6=156$

$\sf Now, out\:of\:156,\:\dfrac{2}{3}\:are\:dairy\:cows.$

$\sf \therefore 156\times\dfrac{2}{3}=52\times2=104$

Hence, there are 104 dairy cows.