Pats final exam has 4 times the weight of her weekly exams. If she had 10 weekly exams with a weight of 1 each and an average of 92, and her overall weighted average was 88, what was her grade on the final exam?
2 answers:
Since the
total of weight of an exam is 100 and the final exam is 4 times the weekly exam
Answer: 78
Step-by-step explanation: For the weekly exams, we have x
/10 = 92, x = 920. Assume that the final score is y with weight 4. Since the overall weighted average is the sum of the weighted scores divided by the sum of the weights, then 920 + 4y / 14 = 88, 920 + 4y = 1232, 4y = 312, y = 78.
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