Chicken and Rabbit Problem Calculator

This calculator solves the classic "Chicken and Rabbit Problem" by finding the number of chickens and rabbits in a cage based on the total number of heads and legs.

Input Parameters

Calculation Results

Calculation Results

Total Heads: 0

Total Legs: 0

Chickens (2 legs): 0

Rabbits (4 legs): 0

Calculation Formula

Let C = number of chickens, R = number of rabbits
C + R = Heads
2C + 4R = Legs

Where:
Heads = Total number of heads
Legs = Total number of legs
Chickens have 2 legs each
Rabbits have 4 legs each

Chicken and Rabbit Problem Calculator Usage Guide

Learn how to use the Chicken and Rabbit Problem Calculator and its working principles

What is the Chicken and Rabbit Problem?

The Chicken and Rabbit Problem is a classic algebraic puzzle that involves finding the number of chickens and rabbits in a cage based on two pieces of information: the total number of heads and the total number of legs.

How to Use This Calculator

  1. Enter the total number of heads ( chickens + rabbits ) in the "Total Heads" field.
  2. Enter the total number of legs ( 2 legs per chicken + 4 legs per rabbit ) in the "Total Legs" field.
  3. Click the "Calculate" button to see the results.
  4. If no solution exists for the given inputs, the calculator will display an appropriate message.

Example

Suppose you have 35 heads and 94 legs in a cage. The calculator will determine that there are 23 chickens (46 legs) and 12 rabbits (48 legs).

Mathematical Principle

This problem can be solved using a system of linear equations:

C + R = Heads

2C + 4R = Legs

Where C is the number of chickens and R is the number of rabbits.