Answer
Using Webster's method, each course is apportioned the following number of sections:
Introductory Algebra is apportioned 4 sections.
Intermediate Algebra is apportioned 10 sections.
Liberal Arts Math is apportioned 6 sections.
Work Step by Step
We can use the modified divisor of $d = 29.6$ to find the modified quota for each course.
Introductory Algebra:
$modified ~quota = \frac{enrollment}{modified~divisor}$
$modified~quota = \frac{130}{29.6}$
$modified~quota = 4.39$
Intermediate Algebra:
$modified ~quota = \frac{enrollment}{modified~divisor}$
$modified~quota = \frac{282}{29.6}$
$modified~quota = 9.53$
Liberal Arts Math:
$modified ~quota = \frac{enrollment}{modified~divisor}$
$modified~quota = \frac{188}{29.6}$
$modified~quota = 6.35$
Webster's method is an apportionment method that involves rounding each modified quota down to the nearest whole number if the fractional part is less than 0.5, and rounding each modified quota up to the nearest whole number if the fractional part is more than 0.5.
Using Webster's method, each course is apportioned the following number of sections:
Introductory Algebra is apportioned 4 sections.
Intermediate Algebra is apportioned 10 sections.
Liberal Arts Math is apportioned 6 sections.
