FizzBuzz using switches

I'm learning about control structures now, and I want to see if I'm doing this as cleanly and efficiently as possible. Seems like there should be a less... verbose way of writing the switch but I wouldn't know what it is. Any criticism welcome!

FizzBuzz.java

public class FizzBuzz {

    public static final int fizz = 3;
    public static final int buzz = 5;

    public static void main(String[] args) {
        int status = -1;        

        for (int fbNumber = 1; fbNumber <= 100; fbNumber++) {

            if ((fbNumber % fizz == 0) && (fbNumber % buzz == 0)) {
                status = 1;
            } else if ((fbNumber % fizz == 0) && (fbNumber % buzz != 0)) {
                status = 2;
            } else if ((fbNumber % fizz != 0) && (fbNumber % buzz == 0)) {
                status = 3;
            } else {
                status = 4;
            }
            switch (status) {
                case 1:
                    System.out.println("FizzBuzz");
                    break;
                case 2:
                    System.out.println("Fizz");
                    break;
                case 3:
                    System.out.println("Buzz");
                    break;
                case 4:
                    System.out.println(fbNumber);
                    break;
                default:
                    System.out.println("Number could not be evaluated");
            }
        }
    }
}

Constants fizz and buzz should be ALL_CAPS, by convention.

The use of status and the switch is unjustified. Why complicate things by setting a variable to alter behaviour a few lines later?

public class FizzBuzz {

    public static final int FIZZ = 3;
    public static final int BUZZ = 5;

    public static void main(String[] args) {
        for (int fbNumber = 1; fbNumber <= 100; fbNumber++) {

            if ((fbNumber % FIZZ == 0) && (fbNumber % BUZZ == 0)) {
                System.out.println("FizzBuzz");
            } else if ((fbNumber % FIZZ == 0) && (fbNumber % BUZZ != 0)) {
                System.out.println("Fizz");
            } else if ((fbNumber % FIZZ != 0) && (fbNumber % BUZZ == 0)) {
                System.out.println("Buzz");
            } else {
                System.out.println(fbNumber);
            }
        }
    }
}

StackExchange Code Review Q#71816, answer score: 15