AMC 8 2025 Problem 17

AMC8 2025 年第 17

比与比例★★★☆☆
In the land of Markovia, there are three cities: AA, BB, and CC. There are 100 people who live in AA, 120 who live in BB, and 160 who live in CC. Everyone works in one of the three cities, and a person may work in the same city where they live. In the figure below, an arrow pointing from one city to another is labeled with the fraction of people living in the first city who work in the second city. (For example, $1/4$ of the people who live in AA work in BB.) How many people work in AA?
马克维亚大陆有三座城市:A城、B城和C城。A城有100人居住,B城有120人居住,C城有160人居住。每个人都在A城、B城或C城中的一个城市工作,且有的人可能在自己居住的城市工作。下图中,从一座城市指向另一座城市的箭头上,标注了居住在第一座城市的人群中,在第二座城市工作的比例。(例如,居住在A城的人中,有1/4在B城工作。)请问有多少人在A城工作?
AMC 8 2025 Problem 17 figure
  1. A.55
  2. B.60
  3. C.85
  4. D.115
  5. E.160

正确答案 · Correct Answer

D

解析 · Solution

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