Question

Old MacDonals raises chickens and sheep on his farm. His livestock has a total of 55 heads and 142 legs among them (not counting the farmer). How many chickens and how many sheep does he have

Answer 1

The number of chickens and sheeps on the Old MacDonals farm is 39 and 16 respectively.

Simultaneous equation

let

• x = number of chicken
• y = number of sheep's

x + y = 55

2x + 4y = 142

Multiply (1) by 2

2x + 2y = 110

2x + 4y = 142

• subtract the equation

4y - 2y = 142 - 110

2y = 32

y = 32/2

y = 16

substitute y = 16 into (1)

x + y = 55

x + 16 = 55

x = 55 - 16

x = 39

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