This is not a trick question. Remember this gem from the late '80s? If not, it's because there were only two seasons. Probably because of budget problems.
The answer is 56:
This goes beyond mind-boggling. BuzzFeed was convinced this had to be stitched together from multiple episodes, so we went in search of the original end credits...and yes, they really did have FIFTY-SIX people writing a twenty-two minute show. Even though each episode was actually three consecutive shorts, that doesn't explain needing twice as many writers as animators.