I kind of tried to figure out a solution before reading the link, but I suck at math. The only thing I noticed was that the amount of boys plus the amount of instructors was equal to the amount of girls, doubt that has any significance in getting the answer though.
It'd be almost impossible to get an exact answer without getting help from a computer though; it could be done, but it'd take way too long.
I kind of tried to figure out a solution before reading the link, but I suck at math. The only thing I noticed was that the amount of boys plus the amount of instructors was equal to the amount of girls, doubt that has any significance in getting the answer though.
It'd be almost impossible to get an exact answer without getting help from a computer though; it could be done, but it'd take way too long.