Question

a college offers tutoring in math, english, chemistry, and biology. the number of students enrolled in each subject is listed below. the college can only afford to hire 18 tutors. use websters method to determine the initial allocations with the standard divisor, then finish the apportionment to determine how many tutors should be assigned to each subject.

subject	students enrolled	initial allocation	tutors to assign
english	235		5
chemistry	160	4	4
biology	65	2	2

what modified divisor did you use for the final apportionment?

Explanation:

Step1: Calculate total students

$300 + 235+160 + 65=760$

Step2: Calculate standard divisor

The college has 18 tutors and 760 students. Standard divisor $SD=\frac{760}{18}\approx42.22$

Step3: Initial allocation (already given in table)

We use Webster's method. We first find the quotients of the number of students in each subject divided by the standard - divisor.
For Math: $\frac{300}{42.22}\approx7.11$ (initially allocated 7)
For English: $\frac{235}{42.22}\approx5.57$ (initially allocated 5)
For Chemistry: $\frac{160}{42.22}\approx3.79$ (initially allocated 4)
For Biology: $\frac{65}{42.22}\approx1.54$ (initially allocated 2)
The sum of initial allocations is $7 + 5+4 + 2=18$
Since the sum of initial allocations is equal to the number of available tutors, the modified divisor is the same as the standard divisor.

Answer:

$42.22$