Please show work - trying to understand how to do this so I canapply it to other problems.

Both Professor X and Professor Y agree that students who studyfor their examinations do better than those who do not. Bothprofessors teach the same class, take a careful four level rankingof how hard their students studied and give a very similarexamination.

This year the average score in Professor X’s class and theaverage score in Professor Y’s class by their level of study effortwas virtually THE SAME:

Students who studied seriously scored an average of 100points

Students who studied moderately earned an average of 80points

Students who studies briefly earned an average of 60 points

Students who did not study earned an average of 40 points

ProfessorX                                                                              Professor Y

Class size  100                                                                        class size 100

20% of students StudiedSeriously                                            40% of students studied seriously

           

40% of students studiedmoderately                                          40% of students studied moderately

30% of students studiedbriefly                                                 10% of students studies briefly

10% of students did not study atall                                           10% of students did not study at all

What is the average score in Professor X’s class? In ProfessorY’s class?

What would be the average scores if both Professors had the SAMEcomposition of students (in relation to the level of effort instudying)