2017 AMC 8 Problem 13

Below is the video solution and professionally curated solution for Problem 13 of the 2017 AMC 8, 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.

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Concepts:logical deduction

Difficulty rating: 1020

13.

Peter, Emma, and Kyler played chess with each other. Peter won 4 games and lost 2 games. Emma won 3 games and lost 3 games. If Kyler lost 3 games, how many games did he win?

$0$

$1$

$2$

$3$

$4$

Video solution:

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Written solution:

Since there are no ties, the number of wins has to equal the number of losses. The number of losses is $2 + 3 + 3 = 8,$ so the number of games Kyler won is $8 - 4 - 3 = 1.$

Thus, B is the correct answer.

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