Rabbits 3

Viju has 40 chickens and rabbits. If, in all, there are 90 legs. How many rabbits are there with Viju?

Correct answer:

r =  5

Step-by-step explanation:


r+c=40
4r+2c=90

r+c=40
4·r+2·c=90

c+r = 40
2c+4r = 90

Pivot: Row 1 ↔ Row 2
2c+4r = 90
c+r = 40

Row 2 - 1/2 · Row 1 → Row 2
2c+4r = 90
-r = -5


r = -5/-1 = 5
c = 90-4r/2 = 90-4 · 5/2 = 35

c = 35
r = 5

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