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# An instructor gives 3 initial exams and a final exam for a

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An instructor gives 3 initial exams and a final exam for a [#permalink]  20 Apr 2006, 21:33
An instructor gives 3 initial exams and a final exam for a certain course. The average of 3 initial exams are weighted 3/5 and the final exam is weighted 2/5. A student received initial exam grades 72,73 and 80 and a final grade of X. If the student's weighted average for the course was 79, what is the value of X? please explain the answer.
ma466
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Re: Mixed problem [#permalink]  20 Apr 2006, 21:42
MA466 wrote:
An instructor gives 3 initial exams and a final exam for a certain course. The average of 3 initial exams are weighted 3/5 and the final exam is weighted 2/5. A student received initial exam grades 72,73 and 80 and a final grade of X. If the student's weighted average for the course was 79, what is the value of X? please explain the answer.
ma466

From the marking scheme,

Weighed average = (x1 + x2 + x3 + 2x4)/5

79 = (72 + 73 + 80 + 2x4) / 5

(395 - 72 - 73 -80)/2 = x4 = 85
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(3/5)*(average of 3 initial exams) + (2/5)*(final exam grade)

average of 3 initial exams is (72+73+80)/3 = 75
(3/5)*(75) = 45

45 + (2/5)*(x) = 79

just work out the equation and you end up with x = 85
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Average of three initial exam = 75. We need to adjust it to 3/5 of final score --> 45

45 + 2/5(x) = 79
x=85
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