Can You Solve the Chicken Cages Math Problem?
Explanation:
To solve this problem using algebra, we can define the total number of chickens as 'x'. We can set up two equations based on the information provided:
When each cage has 6 chickens, there are 2 cages left over: x % 6 = 2
When each cage has 4 chickens, there are no cages left over but 2 chickens are left: x % 4 = 2
We need to solve this system of equations to determine the total number of cages the farmer has. By analyzing the given options, we can substitute each one into the equations. Option C: 14 cages satisfies both equations, hence it is the correct answer.
Algebra can help us solve real-life problems like this one efficiently. Understanding how to set up equations and solve them can be beneficial in various situations.