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At a certain university, the ratio of the number of teaching assistants to the number of students in any course must

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by BTGmoderatorDC » Mon Apr 03, 2023 5:03 pm

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At a certain university, the ratio of the number of teaching assistants to the number of students in any course must always be greater than 3:80. At this university , what is the maximum number of students possible in a course that has 5 teaching assistants?

A. 130
B. 131
C. 132
D. 133
E. 134


OA D

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Re: At a certain university, the ratio of the number of teaching assistants to the number of students in any course must

by Scott@TargetTestPrep » Fri Apr 07, 2023 6:49 am
BTGmoderatorDC wrote: ↑
Mon Apr 03, 2023 5:03 pm
 At a certain university, the ratio of the number of teaching assistants to the number of students in any course must always be greater than 3:80. At this university , what is the maximum number of students possible in a course that has 5 teaching assistants?

A. 130
B. 131
C. 132
D. 133
E. 134


OA D

Source: GMAT Prep
We are given that the ratio of the number of teaching assistants to the number of students in any course must always be greater than 3:80, and we need to determine the maximum number of students possible in a course that has 5 teaching assistants. Let’s use the following formula, in which t = 5 = the number of teaching assistants and s = the number of students.

t/s> 3/80

5/s > 3/80

400 > 3s

400/3 > s

133.33 > s

Since s must be a whole number, the largest possible value of s is 133.

Answer: D

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