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A student's grade in a college course is determined by the scores of 5

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A student's grade in a college course is determined by the scores of 5  [#permalink]

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New post 20 Jan 2017, 09:00
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A student's grade in a college course is determined by the scores of 5 quizzes, a midterm exam and a final exam. The midterm exam and the final exam both count twice as much as a quiz in determining the student's average grade. If the student averages a score of 80 on the quizzes and scored a 90 on the midterm exam, then what would the student have to score on the final exam to have an overall average grade of 85 for the entire course?

A - 85.5
B - 90
C - 92.5
D - 93.5
E - 95
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Re: A student's grade in a college course is determined by the scores of 5  [#permalink]

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New post 20 Jan 2017, 10:27
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5/9*80+2/9*90+2/9*x = 85 (mid term n final both count twice as much as a quiz)
Ans: 92.5

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Re: A student's grade in a college course is determined by the scores of 5  [#permalink]

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New post 20 Jan 2017, 11:30
5/9*80+2/9*90+2/9*x = 85
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Re: A student's grade in a college course is determined by the scores of 5  [#permalink]

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New post 24 Sep 2018, 03:33
Jeoren wrote:
A student's grade in a college course is determined by the scores of 5 quizzes, a midterm exam and a final exam. The midterm exam and the final exam both count twice as much as a quiz in determining the student's average grade. If the student averages a score of 80 on the quizzes and scored a 90 on the midterm exam, then what would the student have to score on the final exam to have an overall average grade of 85 for the entire course?

A - 85.5
B - 90
C - 92.5
D - 93.5
E - 95


Sorry this concept is not clear to me , can anybody explain. Thanks.
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Re: A student's grade in a college course is determined by the scores of 5  [#permalink]

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New post 24 Sep 2018, 03:59
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Jeoren wrote:
A student's grade in a college course is determined by the scores of 5 quizzes, a midterm exam and a final exam. The midterm exam and the final exam both count twice as much as a quiz in determining the student's average grade. If the student averages a score of 80 on the quizzes and scored a 90 on the midterm exam, then what would the student have to score on the final exam to have an overall average grade of 85 for the entire course?

A - 85.5
B - 90
C - 92.5
D - 93.5
E - 95


(80*5) + (90*2) + (x*2) = 85*9
580+(x*2) = 765
X=185/2
X=92.5

Answer is C

Is there any other way to solve this question which is faster?


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Re: A student's grade in a college course is determined by the scores of 5  [#permalink]

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New post 24 Sep 2018, 04:08
dollytaneja51 wrote:
Jeoren wrote:
A student's grade in a college course is determined by the scores of 5 quizzes, a midterm exam and a final exam. The midterm exam and the final exam both count twice as much as a quiz in determining the student's average grade. If the student averages a score of 80 on the quizzes and scored a 90 on the midterm exam, then what would the student have to score on the final exam to have an overall average grade of 85 for the entire course?

A - 85.5
B - 90
C - 92.5
D - 93.5
E - 95


(80*5) + (90*2) + (x*2) = 85*9
580+(x*2) = 765
X=185/2
X=92.5

Answer is C

Is there any other way to solve this question which is faster?


Sent from my iPhone using GMAT Club Forum mobile app


Thank you, got the concept.
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Re: A student's grade in a college course is determined by the scores of 5  [#permalink]

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New post 17 Jun 2019, 17:39
Jeoren wrote:
A student's grade in a college course is determined by the scores of 5 quizzes, a midterm exam and a final exam. The midterm exam and the final exam both count twice as much as a quiz in determining the student's average grade. If the student averages a score of 80 on the quizzes and scored a 90 on the midterm exam, then what would the student have to score on the final exam to have an overall average grade of 85 for the entire course?

A - 85.5
B - 90
C - 92.5
D - 93.5
E - 95


We can let x = the student’s grade on the final exam. Since the midterm and final grades count twice, we can create the equation:

[5(80) + 2(90) + 2x]/(5 + 2 + 2) = 85

[400 + 180 + 2x]/9 = 85

580 + 2x = 765

2x = 185

x = 92.5

Answer: C
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Re: A student's grade in a college course is determined by the scores of 5   [#permalink] 17 Jun 2019, 17:39
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