Assume that you begin a study of 100 persons free of disease…

Assume that you begin a study of 100 persons free of disease on January 1, and that on the last day of each month throughout the year, we will be given a count of new cases of disease in this population. Assume that over the course of a full year, 10 of these persons develop disease, and that 2 of these cases were reported on March 31, 3 more cases on June 30, 3 cases on September 30, and 2 cases on December 31. How many person-months did all of the study members contribute?