Count Number of animals in a zoo from given number of head and legs in C++



We are given a total number of heads and legs in a zoo and the task is to calculate the total number of animals there in the zoo with the given data. In the below program we are considering animals to be deer and peacocks.

Input

heads = 60
legs = 200

Output

Count of deers are: 40
Count of peacocks are: 20

Explanation

let total number of deers to be : x
Let total number of peacocks to be : y
As head can be only one so first equation will be : x + y = 60
And deers have 4 legs and peacock have 2 legs so second equation will be : 4x + 2y = 200
Solving equations then it will be:
4(60 - y) + 2y = 200
240 - 4y + 2y = 200
y = 20 (Total count of peacocks)
x = 40(Total count of heads - total count of peacocks)

Input

heads = 80
Legs = 200

Output

Count of deers are: 20
Count of peacocks are: 60

Explanation

let total number of deers to be : x
Let total number of peacocks to be : y
As head can be only one so first equation will be : x + y = 80
And deers have 4 legs and peacock have 2 legs so second equation will be : 4x + 2y = 200
Solving equations then it will be:
4(80 - y) + 2y = 200
320 - 4y + 2y = 200
y = 60 (Total count of peacocks)
x = 20(Total count of heads - total count of peacocks)

Approach used in the below program is as follows

  • Input the total number of heads and legs in a zoo

  • Create a function to calculate the count of deers

  • Inside the function, set count to ((legs)-2 * (heads))/2

  • Return the count

  • Now, calculate the peacocks by subtracting the total number of deers from the total number of heads in the zoo.

  • Print the result.

Example

 Live Demo

#include <bits/stdc++.h>
using namespace std;
// Function that calculates count for deers
int count(int heads, int legs){
   int count = 0;
   count = ((legs)-2 * (heads))/2;
   return count;
}
int main(){
   int heads = 80;
   int legs = 200;
   int deers = count(heads, legs);
   int peacocks = heads - deers;
   cout<<"Count of deers are: "<<deers<< endl;
   cout<<"Count of peacocks are: " <<peacocks<< endl;
   return 0;
}

Output

If we run the above code we will get the following output −

Count of deers are: 20
Count of peacocks are: 60

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