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# Over a period of 5 academic years from Fall 1999 through Spring 2004,

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Intern
Joined: 29 Aug 2017
Posts: 32
Location: India
Over a period of 5 academic years from Fall 1999 through Spring 2004,  [#permalink]

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Updated on: 07 Oct 2019, 04:25
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Over a period of 5 academic years from Fall 1999 through Spring 2004, the number of faculty at a certain college increased despite a decrease in student enrollment from 5,500 students in Fall 1999,

In the given expressions, F and S represent the percent change in the number of faculty and students, respectively, over the 5 academic years, and R represents the number of students per faculty member in Fall 1999. The percent change in a quantity X is calculated using the formula

$$[\frac{XNew - XOld}{XOld}]$$ $$(100)$$

Select the expression that represents the number of faculty in Fall 1999, and select the expression that represents the number of students per faculty member in Spring 2004. Make only two selections, one in each column.
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Originally posted by Tanvi94 on 25 Apr 2018, 11:36.
Last edited by SajjadAhmad on 07 Oct 2019, 04:25, edited 4 times in total.
Updated - Complete topic (47).
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Re: Over a period of 5 academic years from Fall 1999 through Spring 2004,  [#permalink]

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25 Apr 2018, 12:05
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Tanvi94 wrote:
IR question from MBA.com

Lets list the variables to make this problem easier to keep track of:

F = % change of faculty
S = % change of students
R = Stu(1999) / Fac(1999)
R(2004) = Stu(2004) / Fac(2004)
Stu(1999) = 5500

1.) Fac(1999) = ?
2.) R(2004) = ?

1.)
R = Stu(1999) / Fac(1999)

Fac(1999) = Stu(1999) / R

Fac(1999) = 5500 / R

2.) R(2004) = Stu(2004) / Fac(2004)
OR R(2004) = the previous Student / Faculty ratio times the change over the past 5 years.

The change is given: S, and F respectively.

Thus (100+S) / (100+f) NOTE: the 100 represents 100%, so 100% the ratio from 1999 +/- the change in the past 5 years (which is S and F)

R(2004) = R * (100+S) / (100+f)

The trick in this problem is the sign of the S and F. These variables should be added. Even though the problem states that the number of students is decreasing, while number of faculty is increasing, when you calculate out the rates, they should still be added. If the rate was negative, adding a negative rate is still subtracting it. Meanwhile if you subtracted the negative rate, it would flip the sign and mess up the calculation.
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Re: Over a period of 5 academic years from Fall 1999 through Spring 2004,  [#permalink]

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29 Oct 2018, 16:20
why should we consider "faculty" and "faculty member" the same? i did not know.
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Re: Over a period of 5 academic years from Fall 1999 through Spring 2004,  [#permalink]

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29 Oct 2018, 16:41
faltan wrote:
why should we consider "faculty" and "faculty member" the same? i did not know.

As per my understanding, essentially they’re the same.

If it were Factulty it would meant something else, for example the Faculty of business.

But here it talks about members rather than a division of knowledge.

Posted from my mobile device
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Re: Over a period of 5 academic years from Fall 1999 through Spring 2004,  [#permalink]

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29 Oct 2018, 16:44
Salsanousi wrote:
faltan wrote:
why should we consider "faculty" and "faculty member" the same? i did not know.

As per my understanding, essentially they’re the same.

If it were Factulty it would meant something else, for example the Faculty of business.

But here it talks about members rather than a division of knowledge.

Posted from my mobile device

But it saya Faculty not member after once
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Location: Kuwait
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Re: Over a period of 5 academic years from Fall 1999 through Spring 2004,  [#permalink]

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29 Oct 2018, 16:52
Hi faltan Faculty by definition means faculty members or a division of knowledge.

I don’t think the question implies in anyway that they are introducing new “divisions”.

The question talks about faculty members and students.

Posted from my mobile device
Re: Over a period of 5 academic years from Fall 1999 through Spring 2004,   [#permalink] 29 Oct 2018, 16:52
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# Over a period of 5 academic years from Fall 1999 through Spring 2004,

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