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prealgebra senior

Problem

Teams and are playing in a basketball league where each game results in a win for one team and a loss for the other team. Team has won of its games and team has won of its games. Also, team has won more games and lost more games than team How many games has team played?
(A)
(B)
(C)
(D)
Solution
Suppose team has played games in total so that it has won games. It follows that team has played games in total so that it has won games. We set up and solve an equation for team 's win ratio:
Final answer
C