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
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

## Solution

If Juan won 3 games then Mary lost 3 points so that she must have had 8 points before losing in order to have a final total of 5 .

If Mary had 8 points before losing then she must have won 4 games.

If Mary won 4 games and Juan won 3 games there was a total of 7 games.

ANSWER: (A)