Final answer:
The fewest possible number of chickens on the farm can be found by solving a system of equations. The number of chickens is 24. (Option C)
Step-by-step explanation:
The fewest possible number of chickens on the farm can be found by solving a system of equations.
Let's represent the number of goats as 'g' and the number of chickens as 'c'.
Each goat has four legs, so the total number of goat legs is 4g.
Each chicken has two legs, so the total number of chicken legs is 2c.
In total, there are as many heads as there are legs. Since goats and chickens each have one head, the total number of heads is g + c.
From the given information, we can set up the following equations:
4g + 2c = g + c
3g = -c
Since both the number of goats and chickens must be nonzero, the fewest possible number of chickens is multiple of 3 which is 24 based on options.