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) 11
Answer by mcleo(3) About Me  (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