Read the problem from the start. Use a need-to-know approach. ... 100 persons. What kind of persons? Aha! men, women and children.For the case at hand, the first sentence, One hundred bushels of corn are to be divided among 100 persons., provides two ways to start the problem. It tells us that
(1) men + women + children = 100
or
(2) bushels_to_men + bushels_to_women + bushels_to_children = 100Either of these will, of course, do the job of starting the solution. It is a matter of preference which is used. We will start using the first because to takes less writing. All we want to do is get underway and the first one does this quickly and easily. The solution using the second one is outlined below.