In a course where all the marks are awarded out of 100. Alex received a 70 on his essay and a 90 on his final exam. He got an 80 for class participation. The essay counts as %30 of his total grade and class participation count as %20. What is his total grade?
Please help and explain in details
Many thanks
just multiply each weight by its grade.
0.30*70 + .20*80 + ?*90
so, what do you think ? (the weight of the final) is?
0.30*70 + .20*80 + 0.50*90 = 82 is his total grade?
To calculate Alex's total grade, we need to consider the weightage of each component: the essay, the final exam, and class participation.
1. Essay grade: Alex received a score of 70 out of 100. The essay contributes 30% to his total grade. To find out how much this contributes, we multiply the essay grade by its weightage, which is 0.3 (30% converted to a decimal) and get:
(70/100) x 0.3 = 21/100
So, the contribution of the essay to Alex's total grade is 21/100.
2. Final exam grade: Alex received a score of 90 out of 100. The final exam contributes 100% - (30% + 20%) = 50% to his total grade. Again, we multiply the final exam grade by its weightage:
(90/100) x 0.5 = 45/100
Hence, the contribution of the final exam to Alex's total grade is 45/100.
3. Class participation grade: Alex received a score of 80 out of 100. The class participation contributes 20% to his total grade. We multiply the class participation grade by its weightage:
(80/100) x 0.2 = 16/100
Thus, the contribution of class participation to Alex's total grade is 16/100.
Now, we add up the contributions of each component to find his overall grade:
Essay contribution + Final exam contribution + Class participation contribution = Total grade
(21/100) + (45/100) + (16/100) = 82/100
Therefore, Alex's total grade is 82 out of 100.