In a particular course, only two grades are given all semester: the midterm exam, which counts for 25% of the semester

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M7MBA: Moderator; Posts: 2058; Joined: Sun Oct 29, 2017 4:24 amFollowed by: 5 members; Thanked: 1 times

by M7MBA » Tue May 12, 2020 6:51 am

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In a particular course, only two grades are given all semester: the midterm exam, which counts for 25% of the semester grade, and the final exam, which counts for the remainder. Lindsey's semester grade was 88%. If the highest possible score on either exam is 100%, what is the lowest possible score that Lindsey could have received on her midterm exam?

A. 52%
B. 64%
C. 72%
D. 76%
E. 80%

[spoiler]OA=A[/spoiler]

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Source: Beat The GMAT — Problem Solving | Tue May 12, 2020 6:51 am

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Re: In a particular course, only two grades are given all semester: the midterm exam, which counts for 25% of the semest

by Scott@TargetTestPrep » Tue May 19, 2020 6:22 am

M7MBA wrote: ↑
Tue May 12, 2020 6:51 am
In a particular course, only two grades are given all semester: the midterm exam, which counts for 25% of the semester grade, and the final exam, which counts for the remainder. Lindsey's semester grade was 88%. If the highest possible score on either exam is 100%, what is the lowest possible score that Lindsey could have received on her midterm exam?

A. 52%
B. 64%
C. 72%
D. 76%
E. 80%

[spoiler]OA=A[/spoiler]

To find Lindsey’s lowest possible score on the midterm, we can assume that Lindsey received a 100 on her final exam. Let’s let x = her midterm score; thus, we have

0.25x + 0.75(100) = 88

0.25x + 75 = 88

0.25x = 13

x = 13/0.25 = 52

Answer: A

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