2025 AMC 8 Problem 17
Attempt Problem 17 of the 2025 AMC 8 below, then check your answer against the video solution and professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2025 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
17.
In the land of Markovia, there are three cities: and There are people who live in who live in and who live in 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, of the people who live in work in ) How many people work in
Answer: D
Small hint:
Add the people working in from each home city
Big hint:
For city residents, subtract the fractions going to and
Video solution:
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Written solution:
The number of people who live in and work in is which is The number of people who live in and work in is The number of people who live in and work in is So, the answer is which is choice D.
Problem 17 in other years
- 1985 AMC 8
- 1986 AMC 8
- 1987 AMC 8
- 1988 AMC 8
- 1989 AMC 8
- 1990 AMC 8
- 1991 AMC 8
- 1992 AMC 8
- 1993 AMC 8
- 1994 AMC 8
- 1995 AMC 8
- 1996 AMC 8
- 1997 AMC 8
- 1998 AMC 8
- 1999 AMC 8
- 2000 AMC 8
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- 2022 AMC 8
- 2023 AMC 8
- 2024 AMC 8
- 2026 AMC 8