A past mathematical olympiad
Source: Greece National Olympiad 2000 , Juniors , Problem 3.
November 18, 2005
Problem Statement
On a past Mathematical Olympiad the maximum possible score on a problem was 5. The average score of boys was 4, the average score of girls was 3.25, and the overall average score was 3.60. Find the total number of participants, knowing that it was in the range from 31 to 50.