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# Source : GMATPrep At a certain university, the ratio of the

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Source : GMATPrep At a certain university, the ratio of the [#permalink]  10 Oct 2008, 06:18
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Question Stats:

33% (00:00) correct 67% (00:48) wrong based on 3 sessions
Source : GMATPrep

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

I did not know how to proceed after the last step. I almost had the answer
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Re: PS : GMATPrep - University Ratio [#permalink]  10 Oct 2008, 06:34
Assume

3:80

3*5/3:80*5/3

80*5/3 = 400/3 = ~133 = 5:133

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Re: PS : GMATPrep - University Ratio [#permalink]  10 Oct 2008, 06:35
spiridon wrote:
is it C

how? why not D?

when TA 3, students 80
when TA 5, Students (80/3) (5) = 133.33
so 133 makes the ratio 5/133 > 3/80.
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Re: PS : GMATPrep - University Ratio [#permalink]  10 Oct 2008, 06:37
Oops Sorry ... I posted the wrong OA.

It is D
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Re: PS : GMATPrep - University Ratio [#permalink]  10 Oct 2008, 15:22
[quote="amitdgr"]Source : GMATPrep

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

3:80
5:x

400/3 = 133.3 thus 133 ( note that even if it was 133.6 the answer will always remain 133 as we want the raio to be more than 3: 80 )

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Re: PS : GMATPrep - University Ratio [#permalink]  10 Oct 2008, 18:11
If the question read this way "lesser than 5/80" instead of "greater then 5/80".

will we take the answer to be 134 ?
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Re: PS : GMATPrep - University Ratio [#permalink]  10 Oct 2008, 19:58
GMAT TIGER wrote:
spiridon wrote:
is it C

how? why not D?

when TA 3, students 80
when TA 5, Students (80/3) (5) = 133.33
so 133 makes the ratio 5/133 > 3/80.

greater than 3:80.

i thought 133.33 cannot be an answer because even tho its greater its not a real number
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Re: PS : GMATPrep - University Ratio [#permalink]  10 Oct 2008, 20:31
spiridon wrote:
GMAT TIGER wrote:
spiridon wrote:
is it C

how? why not D?

when TA 3, students 80
when TA 5, Students (80/3) (5) = 133.33
so 133 makes the ratio 5/133 > 3/80.

greater than 3:80.

i thought 133.33 cannot be an answer because even tho its greater its not a real number

133.33 is a real number. It is not an integer, but still its real !
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Re: PS : GMATPrep - University Ratio [#permalink]  11 Oct 2008, 10:12
3/80 = 5/x

=> x = 133.33 , When x is less than 5/x is greater than 3/80 so x = 133

And is D)
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Re: PS : GMATPrep - University Ratio [#permalink]  11 Oct 2010, 05:57
$$\frac{t}{n}> \frac{3}{80}$$

$$n < \frac{80*t}{3}$$

$$n < \frac{80*5}{3}$$

$$n < \frac{400}{3}$$

$$n< 133.something$$

$$n_{max} = 133$$
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Re: PS : GMATPrep - University Ratio   [#permalink] 11 Oct 2010, 05:57
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