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# At a certain University, the ratio of the number of teachers

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At a certain University, the ratio of the number of teachers [#permalink]

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06 Sep 2006, 10:39
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At a certain University, the ratio of the number of teachers 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 teachers.

a) 130
b) 131
c) 132
d) 133
e) 134

..
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06 Sep 2006, 10:54
T/S > 3/80

S/T < 80/3
S <80*T/3
S < 80*5/3
S < 400/3
S < 133.33

So max S can be 133.
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SAID BUSINESS SCHOOL, OXFORD - MBA CLASS OF 2008

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06 Sep 2006, 11:29
d) 133

t/s < 3/80

or 3s < 80t

if t = 5, s < 133.3333

Max s = 133.
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