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수학동아 - 폴리매스
함께 풀고 싶은 문제
창의력을 기를 수 있는 수학 문제 또는 퍼즐을 내는 곳입니다.
※이번 주제 <4.15 총선거>를 공모해주신 222님 감사합니다!
오늘은 4월 15일, 총선거가 있는 날입니다.
그래서 득표율에 대한 문제를 준비해 보았습니다.
가상의 나라 POLYMATH국에서 4.15 총선거를 한다. 이 나라에는 11개의 주가 있으며, 주마다 번호가 있다.(1~11번) 주마다 인구수는 (주의 번호)만 명이다.
예를 들어 2번 주는 2만명의 인구가 있다.
이번 총선거에 A와 B 두 후보가 출마했다.
이 나라의 투표방식은 다음과 같다.
-각각의 주에서 투표를 실시한다.
-더 많은 주에서 승리한 후보가 선거에서 승리한다.
다음 물음에 답하여라.
(1) 전체 투표수 66만표중 A후보가 30만표, B후보가 36만표를 획득했다. 하지만 A후보가 선거에서 승리했다. 이것이 가능할까? 불가능하다면 이유를 쓰고, 가능하다면 실례를 1가지만 보여라.
(2) 위의 투표방식이 공정하다고 할 수 있을까? 1번 문제의 답을 바탕으로 서술해보자.
모두 풀어야 해결 드립니다. 풀이 필수입니다.
※<도전 20제!>는 임의의 20개 주제를 골라 문제를 내는 MathlabJ의 프로젝트입니다. 더욱 신박하고 재밌는 주제로 문제를 내고싶어서 하게 되었습니다.
지금 바로
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