Maths and Java

Question: A sum of 3000 INR is to be given  in the form of 63 prizes. If the prize money  is either 100 INR or 25 INR. Find the number of prizes of each type.

Maths:  Let the count of prizes in sum of rupees 100 each be X

             Then the value of prize be 100X

          Let the count of prizes in sum of rupees 25 each be Y

            Then the value of prize be 25Y

        Total number of prizes is X+Y=63     ----------->1

                    X=63-Y

           Now the Total prize value  is 3000.

         Then 100X+25Y=3000                --------->2

           100(63-Y)+25Y=3000
         
           6300-100Y+25Y=3000
         
           3300=75Y
         
           Y=44
 
         Then X=63-44=19

         Now apply the value of X and Y in Equation  1 and 2.

        So there are 19 prizes worth 100 rupees each and 44 prizes 25 rupees each.

     Now the same problem to be solved in java program


         
       


Location: Hyderabad, Telangana, India

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