There is an animal farm where chickens and cows live. All together, there are 84 heads and 210 legs. How many chickens and cows are there on the farm?
Accepted Solution
A:
1 Chicken have = 2 legs1 Cow have = 4 legsNo of cows = xNo of chickens = yTotal no of legs = 4x + 2y = 210.............(1)Total No of heads = x + y = 84................(2)x = 84 - y....( from (2) )Substituting the above equation in (1)4 ( 84 - y) + 2y = 210336 - 4y + 2y = 210336 - 2y = 210-2y = -126= y = 63No of cows = 84-63 = 21∴ Total no of cows = 21Total no of chickens = 63