Question

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?

Answer 1

180 chickens and 40 pigs

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