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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?

Verified Answer :

MissPhiladelphia

Since the
total of weight of an exam is 100 and the final exam is 4 times the weekly exam


X + 4x =
100 %


5x = 100
%

X = 20%


4x = 80%




Weighted ave
= 0.2( ave weekly exam) + 0.8(final exam

88 =
0.2(92) + 0.8(final exam)


Solve for
the final exam

Final exam
= 87

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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