2017 AMC 8 Problem 13
Attempt Problem 13 of the 2017 AMC 8 below, then check your answer against the video solution and professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2017 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
13.
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: B
Small hint:
Every recorded win contributes one recorded loss to another player.
Big hint:
Compare total wins and total losses across all three players.
Video solution:
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Written solution:
Across all players, every win is matched by one loss; drawn games, if any, contribute neither. The number of losses is so the number of games Kyler won is
Thus, B is the correct answer.
Problem 13 in other years
- 1985 AMC 8
- 1986 AMC 8
- 1987 AMC 8
- 1988 AMC 8
- 1989 AMC 8
- 1990 AMC 8
- 1991 AMC 8
- 1992 AMC 8
- 1993 AMC 8
- 1994 AMC 8
- 1995 AMC 8
- 1996 AMC 8
- 1997 AMC 8
- 1998 AMC 8
- 1999 AMC 8
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