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수학동아 - 폴리매스
[킹앤카&킹앤포&킹앤유] 퀴7. 지폐 단위가 다른 나라에서 물품 구매하기
수학동아
2017.06.20 20:02
조회 900
KASIT 수학문제연구회 학생들이 출제한 수리 논술 문제입니다. 문제를 잘 풀어준 학생을 뽑아 수학문제연구회 학생들이 직접 답안을 첨삭해줄 예정입니다. 문제를 풀어 보세요!
상호가 동아리방에서 낮잠을 자고 있었다. 그런데 무슨 꿈을 꾸고 있는지 표정이 심상치가 않다.
상호 : 아니, 여기는 지폐 단위가 왜 이래?
상호의 꿈속에서는 현실처럼 1000원, 5000원, 1만 원, 5만 원 지폐를 쓰지 않았다. 37원과 55원짜리 지폐를 쓰고 있었다. 상호의 꿈에서 물건을 거래한다고 할 때, 살 수 있는 가장 낮은 금액의 물건은 얼마일까? (단, 1원이 가장 작은 단위다.)
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빌 힉스
Lv.2
2017.07.05 18:53
제가 문제를 제대로 이해한건지 몰라도,
37원과 55원을 일정개수 내고 거스름돈을 받는 행위로
가능한 모든 경우의 수가 나올 수 있습니다.
37원 3개를 내고 55원 2개를 거슬러 받으면
37×3-55×2=1 이므로, 지불 가능한 최소금액은 1원이고,
위 시행을 계속 반복하면 1의 배수만큼 지불가능하므로
모든 자연수값을 갖는 금액을 지불가능하지 않을까 생각합니다.
-
지폐 단위가 달라도, 카드로 결제하면 됩니다.
지금 바로
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