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수학동아 - 폴리매스
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함께 풀고 싶은 문제
창의력을 기를 수 있는 수학 문제 또는 퍼즐을 내는 곳입니다.
[창의 퍼즐] [HME] 소금물 반복해서 섞기
은총알 2020.01.21 03:36 조회 617
문제 푼 사람 0명
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페이스북 트위터 카카오톡 카카오스토리 네이버블로그 네이버밴드

HME 수학학력평가 2015년도 하반기 24번 문제입니다.(한 번에 다 내면 해결이 없을 것 같아서 따로 낼게요)

 

두 비커 A, B에 농도가 각각 a%, 8%인 소금물이 200g씩 들어 있다. 비커 B에서 소금물 50g을 퍼내어 버리고 비커 A에서 소금물 50g을 퍼내어 비커 B에 섞은 후, 비커 A에 물 50g을 넣었다. 이와 같은 방법을 2회 시행하였더니 두 비커 A, B의 소금물의 농도가 같아졌다고 할 때, a의 값을 구하여라.

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