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

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Manager
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At a certain university, the ratio of the number of teaching [#permalink]  30 May 2006, 16:12
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

130
131
132
133
134
VP
Joined: 29 Dec 2005
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Re: GMATPREP : Teaching assistants [#permalink]  30 May 2006, 16:55
dinesh8 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

130
131
132
133
134

= (80/3)(5)
= 133.33

to have the the ratio always greater than 3:80, the max. no. of student is 133.
Senior Manager
Joined: 08 Jun 2004
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Yep agree, 133 it is.
SVP
Joined: 30 Mar 2006
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Ans - 133

There are five teaching assistants.
Now 5/x = 3/80
X(students) = 133.33

Now which is greater than 3/80 ..... 5/133 or 5/134

5/133 is greater than 3/80 not 5/134 hence maximum number of students = 133
Director
Joined: 19 Mar 2007
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jaynayak wrote:
Ans - 133

There are five teaching assistants.
Now 5/x = 3/80
X(students) = 133.33

Now which is greater than 3/80 ..... 5/133 or 5/134

5/133 is greater than 3/80 not 5/134 hence maximum number of students = 133

I don't understand why it can not be 5/134. Can anybody explain?
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