A top division has 22 teams. Each team plays all the other teams twice, once at home and once away. Games are usually played on Saturdays, but sometimes on Wednesdays, too. The season lasts about 35 weeks. There is a proposal to expand this top division to 30 teams.
- How many matches in all would be played and how many matches would each of the 22 teams play?
- What would the effect of expanding to 30 teams be on the length of the playing season?
- What operation can help you “share” the matches evenly between the weeks?