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21 January, 17:47

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?

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  1. 21 January, 17:51
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    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
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