Answer:
The student's overall grade is 85.79%
Step-by-step explanation:
Given in the question that:
Exam = 50%; Quiz = 30%, Home work = 15% and Class participation = 5%
The total giving us 100%.
A particular student scored the following;
87.9% on exams, 77.8% quiz, 90% Home work and 100% on class participation
Calculating the percentages the student had for each;
Exam total = 50*0.879 = 43.95% earned
Quiz = 30*0.778 = 23.34% earned
Home work = 15*0.9 = 13.5% earned
Class participation = 5*1 = 5% earned
Total earned = 43.95+ 23.34 + 13.5+ 5 = 85.79%
of the shaded portion.