# SOLUTION: Juan and Mary play a two-person game in which the winner gains 2 points and the loser loses 1 point. If Juan won exactly 3 games and Mary had a final score of 5 points, how many ga

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 Question 287586: Juan and Mary play a two-person game in which the winner gains 2 points and the loser loses 1 point. If Juan won exactly 3 games and Mary had a final score of 5 points, how many games did they play? (A) 7 (B) 8 (C) 4 (D) 5 (E) 11Answer by mcleo(3)   (Show Source): You can put this solution on YOUR website!Juan won 3 games, which means Mary lost 3. Thus Mary had 3 points. Juan did not win any more games which means Mary won 1, giving a 2 points. Answer: Mary = 1+1+1+2=5 points = 4 games were played Cheers, Marlon