2024 AMC 8 Problem 12
Attempt Problem 12 of the 2024 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 2024 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
12.
Rohan keeps a total of guppies in fish tanks.
• There is more guppy in the nd tank than in the st tank.
• There are more guppies in the rd tank than in the nd tank.
• There are more guppies in the th tank than in the rd tank.
How many guppies are in the th tank?
Answer: E
Small hint:
Write each tank amount in terms of the first tank
Big hint:
The fourth tank has more guppies than the first
Video solution:
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Written solution:
Let be the number of guppies in the st tank. Hence, there are guppies in the nd tank, guppies in the rd tank, and guppies in the th tank. We then use the fact that there are a total of guppies in the tanks to find :
Note that we are not yet done since we are asked for the number of guppies in the th tank and not the st. There are guppies in the th tank.
Thus, E is the correct answer.
Problem 12 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
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- 1998 AMC 8
- 1999 AMC 8
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