MathDB
American Regions Basketball League

Source: 2020 AMC 12B #5

February 6, 2020
2020 AMC 12BAMC 12 BAMCAMC 122020 AMCcounting

Problem Statement

Teams AA and BB are playing in a basketball league where each game results in a win for one team and a loss for the other team. Team AA has won 23\tfrac{2}{3} of its games and team BB has won 58\tfrac{5}{8} of its games. Also, team BB has won 77 more games and lost 77 more games than team A.A. How many games has team AA played?
<spanclass=latexbold>(A)</span>21<spanclass=latexbold>(B)</span>27<spanclass=latexbold>(C)</span>42<spanclass=latexbold>(D)</span>48<spanclass=latexbold>(E)</span>63<span class='latex-bold'>(A) </span> 21 \qquad <span class='latex-bold'>(B) </span> 27 \qquad <span class='latex-bold'>(C) </span> 42 \qquad <span class='latex-bold'>(D) </span> 48 \qquad <span class='latex-bold'>(E) </span> 63