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At a certain university, the ratio of the number of teaching [#permalink]

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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

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 \(s_{max}=133\).

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 \(s_{max}=133\).

Re: At a certain university, the ratio of the number of teaching [#permalink]

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10 Mar 2014, 21:56

Hello from the GMAT Club BumpBot!

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Re: At a certain university, the ratio of the number of teaching [#permalink]

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22 Oct 2015, 05:11

Hello from the GMAT Club BumpBot!

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Re: At a certain university, the ratio of the number of teaching [#permalink]

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11 Jan 2017, 21:54

Thank you for replying Bunuel. See, I understand the algebraic representation of the statement. My problem is

teachers/students > 3/80 means that for every 80 students, there are 3 teachers. therefore, for every 1 teacher, the maximum number of student can be 26.7 rounded off to 26 (cant take 27 coz then the condition wont sustain).Now, if for 1 teacher the max is 26, therefore for 5 teachers the max should be 130, no? Where am I going wrong ??

Appreciate your help!

gmatclubot

Re: At a certain university, the ratio of the number of teaching
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11 Jan 2017, 21:54

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