Problem:
Peter, Emma, and Kyler played chess with each other. Peter won games and lost games. Emma won games and lost games. If Kyler lost games, how many games did he win?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
Whenever a person wins a game, another person loses that game. So the total number of wins equals the total number of losses. Peter, Emma, and Kyler lost games altogether, and Peter and Emma won games in total. Therefore, Kyler won game.
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions