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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 AAPL » Fri Sep 11, 2020 5:40 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 Brent@GMATPrepNow » Sat Sep 12, 2020 6:25 am
AAPL wrote: ↑
Fri Sep 11, 2020 5:40 pm
 GMAT Prep

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
We can solve this using equivalent ratios
We're comparing teaching assistants/number of students

Let x = number of students possible
We can write: 5/x = 3/80
Cross multiply to get: 3x = (5)(80)
Simplify: 3x = 400
Solve: x = 400/3 = 133 1/3 = 133.3333

Since 134 students would exceed to 3:80 ratio, the maximum number of students possible in a course that has 5 teaching assistants is 133

Answer: D

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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