Student Fit Problem
T is the number of total students
n is the number of teachers/classes
c is the number of students per class
c = T / n
for every value of n, I want to also compute r, or "the number of students you can add to T to get c to rise to the next whole number"
so for example:
T = 105
n = 10
c = 10.5
in this case, r = 5 (because T + 5 would raise c to 111)
How can you express r as a function of T and n?