How to calculate chicken and rabbit in the same cage using JavaScript

Chicken and rabbit in the same cage is a classic mathematical problem. This problem can also be realized using computer language. This article will introduce how to use JavaScript language to solve the chicken and rabbit in the same cage problem.

Chicken and rabbit in the same cage problem

The chicken and rabbit in the same cage problem is an old classic problem. It is an example of solving the problem of "solving equations". Suppose we have some chickens and rabbits living together in a cage. We know the total number of their heads and the total number of feet. How do we calculate the number of chickens and rabbits?

This problem can be expressed as a mathematical formula: Suppose the number of rabbits in the cage is x and the number of chickens is y, then there are the following two equations:

x y = total number of heads

4x 2y = total number of feet

We need to use these two equations to find the values ​​of x and y, and then get the number of chickens and rabbits.

Javascript implementation

The following is the code that uses JavaScript language to implement the chicken and rabbit problem in the same cage:

function chickenAndRabbit(heads, legs){
  let rabbits = (legs - 2 * heads) / 2;
  let chickens = heads - rabbits;
  if (chickens >= 0 && rabbits >= 0 && chickens % 1 === 0 && rabbits % 1 === 0){
    console.log(`鸡的数量：${chickens}，兔子的数量：${rabbits}`);
  }
  else{
    console.log('无解');
  }
}

// 示例1：头数为35，脚数为94
chickenAndRabbit(35, 94); // 鸡的数量：23，兔子的数量：12

// 示例2：头数为13，脚数为32
chickenAndRabbit(13, 32); // 鸡的数量：4，兔子的数量：9

// 示例3：头数为10，脚数为26
chickenAndRabbit(10, 26); // 无解

The above code implements a function called chickenAndRabbit, which uses the above Mentioned mathematical formulas to calculate the number of chickens and rabbits. In the function, we first calculate the total number of rabbit legs through legs - 2 * heads, and then divide the total number of legs by 2 to get the number of rabbits. Finally, we subtract the number of rabbits from the total number of heads to get the number of chickens.

After calculating the number of chickens and rabbits, we need to perform some verification on their numbers to ensure that their numbers are all non-negative integers. If the verification passes, we can output the number of chickens and rabbits, otherwise we will output "no solution".

Finally, we use some examples to verify the correctness of the function. Developers can try using more examples to verify the correctness of the function in various situations.

Summary

This article introduces how to use JavaScript to realize the chicken and rabbit problem in the same cage. This is a classic mathematical problem that can help readers better learn and understand how to solve equations. During the implementation process, we used some mathematical knowledge and JavaScript language features, hoping to be helpful to readers.

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