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# At a certain university, the ratio of the number of teaching

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At a certain university, the ratio of the number of teaching [#permalink]  24 Oct 2010, 16:57
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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
[Reveal] Spoiler: OA

Last edited by Bunuel on 01 Feb 2012, 13:24, edited 1 time in total.
Edited the question
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Re: PS question: need help [#permalink]  24 Oct 2010, 17:10
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Expert's post
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

Given: $$\frac{assistants}{students}>\frac{3}{80}$$ --> $$assistants=5$$, so $$\frac{5}{s}>\frac{3}{80}$$ --> $$s_{max}=?$$

$$\frac{5}{s}>\frac{3}{80}$$ --> $$s<\frac{5*80}{3}\approx{133.3}$$ --> so $$s_{max}=133$$.

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Re: PS question: need help [#permalink]  25 Oct 2010, 05:03
Bunuel wrote:
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

Given: $$\frac{assistants}{students}>\frac{3}{80}$$ --> $$assistants=5$$, so $$\frac{5}{s}>\frac{3}{80}$$ --> $$s_{max}=?$$

$$\frac{5}{s}>\frac{3}{80}$$ --> $$s<\frac{5*80}{3}\approx{133.3}$$ --> so $$s_{max}=133$$.

Manager
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Re: PS question: need help [#permalink]  26 Oct 2010, 09:41
for 80 students, more than 3 teaching assistants are there
so for 5 teaching assistants .... no.of students max is ??

3 ---- 80
5-----?

80*5/3 = 133
Manager
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Re: problem solving [#permalink]  06 Feb 2011, 09:57
t/s > 3/80
s < (80/3) * t
s < 80 * 5/3
s = 133
D
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Re: problem solving [#permalink]  06 Feb 2011, 10:15
1
KUDOS
A ratio of Teacher/Student > 3/80

In words;
3 Teachers teach < 80 students
1 teacher teaches < 80/3 students
5 teachers teach < (80/3)*5 students
5 teachers teach < 400/3 students
5 teachers teach < 133.33 students

Students can only be integers
5 teachers teach < 134 students

or a maximum of 133 Students.

Ans: "D"
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Re: At a certain university, the ratio of the number of teaching [#permalink]  10 Mar 2014, 21:56
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Re: At a certain university, the ratio of the number of teaching [#permalink]  22 Oct 2015, 05:11
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: At a certain university, the ratio of the number of teaching   [#permalink] 22 Oct 2015, 05:11
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