Question

A farmer has some chickens and goats. If everyone has 90 heads and 224 legs, then what will be the number of goats?

Answer 1

There will be 22 goats.

Explanation: Let number of chickens be x and number of goats be y

According to the question,

x+y= 90

2 x + 4 y = 224 [As chickens have 2 legs and goat as 4 legs ]

2(x+y=90)

2 x + 4 y = 224

2 x + 2 y = 180

By subtracting we get 2 y = 44

So, y = 22

Therefore, number goats is 22