2024 AMC 8 Problem 8
Attempt Problem 8 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).
8.
On Monday Taye has Every day, he either gains or doubles the amount of money he had on the previous day. How many different dollar amounts could Taye have on Thursday, days later?
Answer: D
Small hint:
After each day, branch into adding or doubling
Big hint:
List the amounts after Tuesday, then Wednesday, then Thursday
Video solution:
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Written solution:
After Tuesday, Taye could have or dollars. After Wednesday, the possible amounts are so the distinct amounts are .
After Thursday, these can become These are distinct dollar amounts.
Thus, D is the correct answer.
Problem 8 in other years
- 1985 AMC 8
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