Public static int mystery(int a[], int x) { int c = 0; for(int i = 0; i < a.length; i++) { if (a[i] == x) c++; } return c; }the method counts how many times an integer shows up in an integer array.the c variable is declared in the method to keep track of how many times the certain value has shown up.the for-loop loops through the entire array.the line if (a[i] == x) c++; checks if each element of the array is equal to the inputted integer to check. for each number in the array that is equal to the inputted integer x, the c variable will be incremented by 1. otherwise it will do nothing.then c is returned at the end of the loop.for example, if we have, in the main method with the mystery method coded in the class: int arraytest[] = {2, 23, 23, 23, 3}; int testme = 23; int count = mystery(arraytest, testme); system.out.println(count); then the print out will be 3 because there are three 23s in that array.