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2015 AMC 8 Question 24

AMC8 · 2015 AMC 8

Question 24

A baseball league consists of two four-team divisions. Each team plays every other team in its division $N$ games. Each team plays every team in the other division $M$ games with $N > 2M$ and $M > 4.$ Each team plays a $76$ game schedule.

How many games does a team play within its own division?
  1. $ 36 $
  2. $ 48 $
  3. $ 54 $
  4. $ 60 $
  5. $ 72 $