A farmer has some chickens and some goats. Altogher there are 43 heads and 108 legs. How many chickens does the farmer have? How many goats does the farmer have?

43 heads = 43 animals ( I hope!!)

C = number of chickens
G = number of goats

C + G = 43
2C + 4G = 108

solve simultaneously to find C and G

if you are right,
C = 32
G = 11

yes

To solve this problem, we can use a system of equations to represent the given information. Let's denote the number of chickens as "C" and the number of goats as "G."

According to the problem, there are 43 heads in total, meaning the sum of chickens and goats is 43:

C + G = 43 -- Equation 1

The problem also states that there are a total of 108 legs. Since chickens have 2 legs and goats have 4 legs, the sum of the legs can be represented as:

2C + 4G = 108 -- Equation 2

Now, we have a system of two equations. To solve this system, we can use substitution or elimination.

Let's use elimination. Multiply Equation 1 by 2 to make the coefficients of C the same in both equations:

2C + 2G = 86 -- Equation 3

2C + 4G = 108 -- Equation 2

By subtracting Equation 3 from Equation 2, we can eliminate the variable C:

(2C + 4G) - (2C + 2G) = 108 - 86
2G = 22
G = 11

Now, we can substitute the value of G back into Equation 1 to find the value of C:

C + 11 = 43
C = 43 - 11
C = 32

Therefore, the farmer has 32 chickens and 11 goats.

how did u wrk dat ou?