Question 532898: I have a average of 85% on quizzes and a average of 92% on exercises, quizzes count for 40% and exercises count for 30% and the final exam count for 30%. What would be the minimum grade I could get to have a 90% a A in the class. I came up with 93% but I can't show how I got it need a equation please. Thanks
Answer by oberobic(2304)   (Show Source):
You can put this solution on YOUR website! I assume you only have the final exam remaining. So, what do you need to score to have an overall percentage of at least 90%?
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With the weighting, it is clear the scoring is mean to achieve a maximum total of 100% for the course. At this point, you have finished the quizzes and exercises.
quizzes: .4 * .85 = .34
exercises: .3 * .92 = .276
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So you need a percentage score 'x' on the final exam such that:
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.3x + .34 + .276 >= .90
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Solving the equation...
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.3x = .90 -.34 - .276
.3x = .284
x = .284/.3
x = .9466666666666668
x >= 94.7% is needed to achieve an overall average of 90% or more.
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That could mean you need to score at least a 95% on the final exam, depending on how fine the grading can be. (For example, can you earn a 94.7%?)
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Check.
.4*.85 + .3*.92 + .3*.947 = .9001
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Answer: You need to score 94.7% or higher on the final exam.
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Done.
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