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At a certain university the ratio of the number of teaching assistants

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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

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flamingo
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Teaching Assistants = TA
Students = S

Let assume the ratio of TA/S = 3/80 (Just putting aside the requirement it must be greater)

Let say x be the maximum no of students possible with 5 teaching assistants = 3/80 = 5/x 

x = 400/3 = 133.3. 

. Now for ratio to be greater than 3/80, we will have to  reduce the denominator.

Let us just round it to lowest integer as number of student cannot be a decimal. 

The new ratio is 5/133, which is less than 3/80 and hence 133 is the max number of the students.

answered Jul 9, 2014 by Guru (5,599 points)
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