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22 May, 15:34

A friend has a 82% average before the final exam for a course. That score includes everything but the final, which counts for 30% of the course grade.

What is the best course grade your friend can earn? %

What is the minimum score would your friend would need on the final to earn a 75% for the course? %

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  1. 22 May, 18:10
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    So you want to set up an equation for a weighted average. You know the final is 30% of the grade, so everything else is 70%. This gives you:

    (Final) (.30) + (other grades) (.70) = course grade

    The best grade the student can get would be if they get a hundred on the final, since that's the best score you can make on the final. Then,

    (100) (.30) + (82) (.70) = course grade

    30 + 57.4 = course grade = 87.4 Which, If you round, the student would get an 87.

    For the last part, we use the same equation, just filling in different parts.

    (Final) (.30) + (other grades) (.70) = course grade

    This time, we don't know the grade for the final, but we know the course grade.

    (Final) (.30) + (82) (.70) = 75

    (Final) (.30) + 57.4 = 75

    (Final) (.30) = 17.6

    Final = (17.6) / (.30)

    Final = 58.667 Which is approx a 59.
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