in my backyard, there are chickens and dogs (no other animals). Among them, there is a total of 220 eyes and 266 legs. How many dogs do I have in my backyard?

There are 87 chicken and 23 dogs.

Step-by-step explanation:

Let the no. Of dogs be 'a'

Let the no. Of chicken be 'b'

Given that

Total no. of eyes = 220

2a + 2b = 220

Total no. of legs = 266

4a + 2b = 266

Solve the equations

4a + 2b = 266

2a + 2b = 220

We get,

2a = 46

a = 23

2a + 2b = 220

46 + 2b = 220

2b = 174

b = 174/2

b = 87

There are 87 chickens and 23 dogs