AMC 10 Step by Step
2021 AMC 10BProblem 17P16-20~3 minPrint

Ravon, Oscar, Aditi, Tyrone, and Kim play a card game. Each person is given 22 cards out of a set of 1010 cards numbered 1,2,3,,10.1,2,3, \dots,10. The score of a player is the sum of the numbers of their cards. The scores of the players are as follows: Ravon-- 11,11, Oscar-- 4,4, Aditi-- 7,7, Tyrone-- 16,16, Kim-- 17.17. Which of the following statements is true?

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site.