Farmer Deanna looks out her window and counts a total of 64 legs on a total of 20 animals. If she has only sheep and chickens, how many of each does she have? (Hint: Sheep have 4 legs each and chickens 2 legs each.
Hey!
Let's start by setting two variables,
S=sheep
C=chicken
Once we have our variables we can go ahead and make our equations:
1.) The easiest equation that we can make with these two variables is with the total # of animals.
The number of sheep + The number of chickens = The total # of animals,
So we get the equation: S+C=20.
2.) Now, we are given that sheep have 4 legs and chickens have 2 legs.
(The number of sheep x The number of legs each sheep has) + (The number of chickens x The number of legs each chicken has) = The total # of legs.
So we get the equation 4S+2C=64
Now that we have our two equations,
4S+2C=64
S+C=20,
You can use the two equations to either substitute the variables or eliminate them to find your answer.
Hey!
Let's start by setting two variables,
S=sheep
C=chicken
Once we have our variables we can go ahead and make our equations:
1.) The easiest equation that we can make with these two variables is with the total # of animals.
The number of sheep + The number of chickens = The total # of animals,
So we get the equation: S+C=20.
2.) Now, we are given that sheep have 4 legs and chickens have 2 legs.
(The number of sheep x The number of legs each sheep has) + (The number of chickens x The number of legs each chicken has) = The total # of legs.
So we get the equation 4S+2C=64
Now that we have our two equations,
4S+2C=64
S+C=20,
You can use the two equations to either substitute the variables or eliminate them to find your answer.