A large school district has four high schools with enrollments as shown. 40 school buses need to be allocated to the high schools. Determine how many buses are allocated to each of the high schools

Question

Solve the problem with: Hamilton and Jefferson's Method of Apportionment.

School	RRHS	CCHS	HHHS	MHS	Total
Enrollment	738	851	1234	982	3805

Answer 1

3805 students divided by 40 busses gives an apportionment quotient (round it)

Answer 2

Hello, Cyber,

I'm not sure how to apply Hamilton and Jefferson's method of apportionment when it comes to students and school buses. It seems to me it would leave some students without school bus transportation, but perhaps you can see a way to make it work. Also missing is a number for maximum capacity of a school bus.

The average students per bus for the entire school system is 95.125. [I'll assume the buses can hold that number]. Divide that into each school's enrollment to find the number of buses needed for that school. Then I rounded up to make it whole buses. That adds to 41 buses, not the 40 available. But it also assume that maximum capacity is the average, which is not correct.