百元百鸡问题

public class 百元百鸡 {
    public static void main(String[] args)
    {
        /**
         * 100元买100只鸡
         * x 为公鸡  一只5元
         * y 为母鸡  一只3元
         * z 为小鸡  三只1元
         * 满足  x+y+z =100
         *      5x+3y+z/3=100   注意数量为整
         */
        int x,y,z ;
        for (x=0;x<=20;x++){
            for (y=0;y<=33;y++){
                for (z=20;z<=100;z++){
                    if (x+y+z==100 && 5*x+3*y+z/3==100 && z%3==0){
                        System.out.print("x = " + x +" ");
                        System.out.print("y = " + y +" ");
                        System.out.print("z = " + z +" ");
                        System.out.println();
                    }
                }
            }
        }
    }
}

 

输出结果：

x = 0 y = 25 z = 75 
x = 4 y = 18 z = 78 
x = 8 y = 11 z = 81 
x = 12 y = 4 z = 84