The Chicken and Rabbit in a Cage is a classic Chinese mathematical problem dating back to the 5th century. In this problem, we have a cage containing both chickens and rabbits. We know the total number of heads and the total number of legs. Our task is to determine exactly how many chickens and how many rabbits are in the cage. This is a perfect example of using algebraic equations to solve real-world problems. Let's explore how to solve it.