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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$${\frac{X_{new}-X_o{ld}}{{x}_{o}{ld}}}(100)$$

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.
Students per faculty member in spring 2004 Number of faculty in fall 1999  
5500R
5500/R
1/R
($${100+S}\over{100+F}$$)R
$${100-S}\over{100+F}$$)R
$${100+F}\over{100-S}$$)R

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