Question

A man has a certain number of chickens and goats. Their head count is 30. If the total number of their legs is 84, what is the ratio between the number of chickens and goats?​

Answer 1

Answer:

Let no of chickens be

′

x

′

& roots be y then,

x+y=30 ____ (1)

2x+4y=84 ____ (2)

solving above 2 equation

x+y=30

x+2y=42

- -

y=12

&

x=18

∴

x:y=3:2

Answer 2

Answer:

Ratio of chickens to goats = 3:2.

Step-by-step explanation:

C = number of chickens and G = number of goats.

Chickens have 2 legs and goats have 4 legs.

C + G = 30

2C + 4G = 84

Multiply  the first equation by 2:

2C + 2G = 60

Subtract this from the second equation:

2G = 24

G = 12

So C = 30 - 12 = 18.

The required ratio is  18:12 = 3:2.