Maria has gotten scores of 75, 77, 81 and 84 (out of a possible 100) on the four midterm examinations for a math class. If each of these midterms counts as 15% of the total grade in the class and the final exam counts as 40% of the total grade, what must she get as a score (out of 100 possible) on the final examination to get at least 85% as her total grade in the class?

93.63

Therefore, she need to get a minimum of 93.63 out of 100 in the final exam

Step-by-step explanation:

Given;

Each midterm exam = 15% of total grade

Final exam = 40% of total grade

Midterm scores = 75, 77, 81 and 84 (out of a possible 100)

Total midterm score = 75+77+81+84 = 317

To determine the grade of the four midterm exams in the total score;

We need to find the 15% of the midterm score;

= 15% of 317

= 0.15*317

= 47.55 %

To get a minimum score of 85 % of the total score, the amount of the total score to be secured in the final exam is;

Final exam = 85% - 47.55% = 37.45%

Since final exam is 40% of the total score;

It means she need to get 37.45% out of 40% of the final exam.

Converting it to a score of 100;

Final exam score = 37.45/40 * 100

Final exam score = 93.63

Therefore, she need to get a minimum of 93.63 out of 100 in the final exam