Alcuin, Abbot of Canterbury (AD 735-804) and one of the first English puzzlemakers asked "*If 100 bushels of corn were distributed among 100 people in such a manner that each man received three bushels, each woman two, and each child half a bushel, how many men, women, and children were there*?"

There are many different correct answers. If the number of men, women, and children are as close to each other as possible, what is the number of children?