If a farm as 13 heads and 36 feet. How many chicken are there and how many rabbit are there?
To determine the number of chickens and rabbits on the farm based on the given total number of heads and feet, we can use a system of equations.
Let's assume "C" represents the number of chickens and "R" represents the number of rabbits.
Since chickens have one head and two feet, and rabbits have one head and four feet, we can write two equations:
Equation 1: C + R = 13 (The total number of heads on the farm)
Equation 2: 2C + 4R = 36 (The total number of feet on the farm)
Now, we can solve this system of equations to find the values of C and R.
First, let's rewrite Equation 1 as C = 13 - R.
Substituting this value of C into Equation 2, we have:
2(13 - R) + 4R = 36
Simplifying:
26 - 2R + 4R = 36
2R = 36 - 26
2R = 10
R = 10/2
R = 5
Now that we have the number of rabbits, we can substitute it back into Equation 1 to find the number of chickens:
C + 5 = 13
C = 13 - 5
C = 8
Therefore, there are 8 chickens and 5 rabbits on the farm.