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Intern  B
Joined: 08 Feb 2015
Posts: 3
A student's grade in a college course is determined by the scores of 5  [#permalink]

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1 00:00

Difficulty:   45% (medium)

Question Stats: 69% (03:01) correct 31% (03:02) wrong based on 45 sessions

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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
Intern  B
Joined: 03 Sep 2016
Posts: 14
Re: A student's grade in a college course is determined by the scores of 5  [#permalink]

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1
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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Intern  B
Joined: 13 Mar 2016
Posts: 25
Location: India
Concentration: General Management, Entrepreneurship
WE: General Management (Energy and Utilities)
Re: A student's grade in a college course is determined by the scores of 5  [#permalink]

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5/9*80+2/9*90+2/9*x = 85
Director  V
Joined: 27 May 2012
Posts: 945
Re: A student's grade in a college course is determined by the scores of 5  [#permalink]

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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

Sorry this concept is not clear to me , can anybody explain. Thanks.
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- Stne
Manager  B
Joined: 26 Feb 2017
Posts: 85
Location: India
GPA: 3.99
Re: A student's grade in a college course is determined by the scores of 5  [#permalink]

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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

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

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Director  V
Joined: 27 May 2012
Posts: 945
Re: A student's grade in a college course is determined by the scores of 5  [#permalink]

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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

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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Target Test Prep Representative V
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 8619
Location: United States (CA)
Re: A student's grade in a college course is determined by the scores of 5  [#permalink]

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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

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

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