Question

A farmer has some chiks and goats. Total no of heads are 90 and legs are 224. How many goats he has?​

Answer 1

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Answer 2

Let x represent the number of Chickens and y represent the number of Goats. Then we can get the following equations:

X + Y = 90--------(1) Note that each chicken or goat has only one head.

2X + 4Y = 224-------(2) Note that each chicken has two legs while each goat has 4 legs.

Multiply the equation (1) with 2 and subtract from the equation (2), we get

2X + 4Y - 2X - 2Y = 224 - 2×(90)

2Y = 224 - 180 = 44

Y = 22, accordingly X + 22 = 90 or 68

So, there are 68 Chickens and 22 Goats.