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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] New post 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] New post 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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 [#permalink] New post 20 Apr 2006, 21:57
Got the same answer. X=85

(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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 [#permalink] New post 20 Apr 2006, 22:14
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
  [#permalink] 20 Apr 2006, 22:14
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