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 allocation 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	8 ×	5 √
chemistry	160	3 ×	4 √
biology	62	1 ×	2 √

what modified divisor did you use for the final apportionment? 40 ×

Explanation:

Step1: Calculate total students

$300 + 235+160 + 62=757$

Step2: Calculate standard divisor

The college has 18 tutors. Standard divisor $d=\frac{757}{18}\approx42.06$

Step3: Use trial - and - error for modified divisor

We try different modified divisors. By trial - and - error, when the modified divisor is 40:
For Math: $\frac{300}{40}=7.5$, rounded to 7 initially, then adjusted to 7
For English: $\frac{235}{40}=5.875$, rounded to 6 initially, then adjusted to 5
For Chemistry: $\frac{160}{40}=4$
For Biology: $\frac{62}{40}=1.55$, rounded to 2

Answer:

40