MathDB
Baseball League

Source: 2015 AMC 8 Problem 24

November 25, 2015
AMC 8

Problem Statement

A baseball league consists of two four-team divisions. Each team plays every other team in its division NN games. Each team plays every team in the other division MM games with N>2MN>2M and M>4M>4. Each team plays a 76 game schedule. How many games does a team play within its own division?
<spanclass=latexbold>(A)</span>36<spanclass=latexbold>(B)</span>48<spanclass=latexbold>(C)</span>54<spanclass=latexbold>(D)</span>60<spanclass=latexbold>(E)</span>72 <span class='latex-bold'>(A) </span> 36 \qquad <span class='latex-bold'>(B) </span> 48 \qquad <span class='latex-bold'>(C) </span> 54 \qquad <span class='latex-bold'>(D) </span> 60 \qquad <span class='latex-bold'>(E) </span> 72