in School,
public void addTeacherName(classroom classroom, String teacherName) {
classroom.setTeacherName(teacherName);
}
BTW, use Pascal Case for class names. Also, I would suggest a Map<String, classroom>
to map a classroom name to a classroom.
Then, if you use my suggestion, this would work
public void addTeacherName(String className, String teacherName) {
classrooms.get(className).setTeacherName(teacherName);
}