there are 20 animals in a barn. these animals are cows and chickens. there are 56 legs in all. which system of equation represent the situation?



Answer :

The situation can be represented by the following system of equation:

4c + 2r = 56

c + r = 20

Where c represents the number of cows and r represents the number of chickens.

Cows have 4 legs so it would be a variable of 4c

Chickens have 2 legs so it would be a variable of 2r

In total they have to have 56 legs which is the aim of the equation.

In the 2nd equation, c + r represents a number of cows and chickens that add up to equal 20 animals in total.