Chicken or Rabbit in the Same Cage - Python Programming Tutorial328

In this tutorial, we will learn how to solve a classic math puzzle known as "Chicken or Rabbit in the Same Cage" using Python programming. This puzzle requires us to find the number of chickens and rabbits in a cage based on the total number of heads and legs.

Problem Statement

Suppose we have a cage containing a certain number of chickens and rabbits. The total number of heads in the cage is H, and the total number of legs is L. We know that chickens have 2 legs each, while rabbits have 4 legs each. Our task is to determine the number of chickens and rabbits in the cage.

Python Code
import sympy
# Define symbolic variables for the number of chickens and rabbits
chickens = ("chickens")
rabbits = ("rabbits")
# Create equations based on the given information
heads = (chickens + rabbits, H)
legs = (2 * chickens + 4 * rabbits, L)
# Solve the system of equations
result = ([heads, legs], (chickens, rabbits))
# Print the solution
print("Chickens:", result[chickens])
print("Rabbits:", result[rabbits])

Example

Let's consider an example where we have a cage with 12 heads and 30 legs. Using the Python code above, we can solve for the number of chickens and rabbits:```
H = 12
L = 30
import sympy
# Define symbolic variables for the number of chickens and rabbits
chickens = ("chickens")
rabbits = ("rabbits")
# Create equations based on the given information
heads = (chickens + rabbits, H)
legs = (2 * chickens + 4 * rabbits, L)
# Solve the system of equations
result = ([heads, legs], (chickens, rabbits))
# Print the solution
print("Chickens:", result[chickens])
print("Rabbits:", result[rabbits])
```

The output of the code shows that there are 6 chickens and 6 rabbits in the cage.

Generalization

The Python code provided can be generalized to solve the problem for any number of heads and legs. Simply replace the values of H and L in the code with the corresponding values for the specific problem.

Conclusion

In this tutorial, we demonstrated how to solve the "Chicken or Rabbit in the Same Cage" puzzle using Python programming. The code provided is a simple and effective solution that can be generalized to solve the problem for any number of heads and legs.

2025-01-26

Previous：Mobile App Development Tutorial: A Comprehensive Guide for Beginners

Next：Photo Collage Apps for Mobile: A Step-by-Step Guide for Stunning Creations