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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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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BTGmoderatorDC
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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.BTGmoderatorDC wrote: ↑Mon Apr 03, 2023 5:03 pmAt 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
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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