37. A high school has one math teacher who can teach five sections. A total of 56 students have enrolled in the algebra class, 28 have signed up for geometry, and 7 students will take calculus. Use the Hill-Huntington method to decide how many sections of each course to schedule.
37.
The standard divisor is 18.2, but with this divisor the rounded quotas (rounding by Hill-Huntington) are 3, 2, and 1, so 6 sections are apportioned. We will choose a larger divisor; 20 is convenient. The apportionment quotients are 2.8 (which rounds to 3), 1.4, and 0.35. Remember that all numbers between 0 and are rounded to 1; therefore, there will be 3 sections of algebra and 1 section each for geometry and calcus.