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At certain university ,the ratio of teachers to students for [#permalink]

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17 Oct 2006, 03:09

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At certain university ,the ratio of teachers to students for evry course is always greater than 3:80. At this universty ,what is te maximum number of students possible in a course that has 5 teachers?
a.>130
b.>131
c.>132
d.>133
e.>134

I will appreciate answers with explanations.
Thanks

if we have 5, we have increased the number of teachers by 2/3 (the equivalent of multiplying it by 5/3), therefore we need to increase the number of students by 2/3 (times by 5/3) also:

Since the question is saying ratio is greater than 3/80 and we get 133.33 so should'nt it be 134. I got this question in GMATPREP in the morning and OA is d i.e 134.

Since the question is saying ratio is greater than 3/80 and we get 133.33 so should'nt it be 134. I got this question in GMATPREP in the morning and OA is d i.e 134.

In your first post you say D >133 and here you are saying D is >134 - which one is it? Please clarify

I think it should be >133 as you cannot have 1/3 of a student so >134 is out.
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At certain university ,the ratio of teachers to students for evry course is always greater than 3:80. At this universty ,what is te maximum number of students possible in a course that has 5 teachers?

a.>130 b.>131 c.>132 d.>133 e.>134

3x = 5 thus x = 5/3

80x = 80*5/3= 133.3 the max is less than 133.3 = 133 my answer is D

if we assumed we have 3 teachers / 80 students the ratio can increase but never decrease ( THE TEACHERS NUMBER WONT BE ENOUGH TO TEACH TO A BIGGER NUMBER OF STUDENTS

so if 5 teachers can teach to 133.3 students

then they can teach to less for sure but not for more

We need to find the max students such t:s ratio is always greater than 3:80
if we chose D the ratio 5:133 which is 0.03759
if we chose E the ratio will be 0.0373 thus s>134 can not be an option..
thus POE says D but have a doubt s>133 would actually mean 134 which decreases ratio below 3:80..
Thus guess the answer choices should be less..

At certain university ,the ratio of teachers to students for evry course is always greater than 3:80. At this universty ,what is te maximum number of students possible in a course that has 5 teachers?
a.>130
b.>131
c.>132
d.>133
e.>134

3 teachers means 80 students
1 teacher means 80/3 students
5 teachers means 80*5/3 = 400/3 =133.33

Since number of teachers can not be in decimal. Rounding off means D.

if we assumed we have 3 teachers / 80 students the ratio can increase but never decrease ( THE TEACHERS NUMBER WONT BE ENOUGH TO TEACH TO A BIGGER NUMBER OF STUDENTS

so if 5 teachers can teach to 133.3 students

then they can teach to less for sure but not for more