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? %
1 answer:
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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