2023 AMC 8 Problem 8
Attempt Problem 8 of the 2023 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 2023 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
8.
Lola, Lolo, Tiya, and Tiyo participated in a ping pong tournament. Each player competed against each of the other three players exactly twice. Shown below are the win-loss records for the players. The numbers and represent a win or loss, respectively. For example, Lola won five matches and lost the fourth match. What was Tiyo’s win-loss record?
Answer: A
Small hint:
Each match contributes one win and one loss
Big hint:
In each column of the records, two entries must equal and two must equal
Video solution:
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Written solution:
Each column represents one round of two matches, so every column must contain exactly two ’s and two ’s.
Completing each column to contain two entries and two entries gives Tiyo’s record
Thus, A is the correct answer.
Problem 8 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
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- 1999 AMC 8
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