A farm raised a total of 220 Chickens and pigs. The number of legs of the stock are 520. How many chickens and pigs are at the farm?

180 chickens and 40 pigs

Step-by-step explanation:

We are given;

Total number of chickens and pigs as 220 Number of legs of chickens and pigs are 520

We are required to determine the number of chickens and pigs in the farm;

To answer the question we need to know the following;

1 chicken has two legs 1 pig has four legs

Assuming the number of chickens is x and the number of pigs is y

Then we can form two equations;

x + y = 220 ... for the total number of stock 2x + 4 y = 520 ... for the total number of legs

We can solve the two equations simultaneously to find the number of chickens and pigs;

x + y = 220

2x + 4y = 520

Multiplying the first equation by 2, we get

2x + 2y = 440

2x + 4y = 520

Eliminating x, we get;

- 2y = - 80

y = 40

Solving for x;

x = 220 - y

= 220 - 40

x = 180

Therefore, there are 180 chickens and 40 pigs at the farm