2005 AMC 8 Problem 12
Attempt Problem 12 of the 2005 AMC 8 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2005 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
12.
Big Al, the ape, ate bananas from May through May Each day he ate six more bananas than on the previous day. How many bananas did Big Al eat on May
Answer: D
Small hint:
The five daily amounts form an arithmetic sequence.
Big hint:
The middle day equals the average of the five days.
Solution:
Let be the number of bananas Big Al ate on May Then Big Al ate the following amounts starting from May
The sum of this is which equals This gives us that Then on May Big Al ate bananas.
Thus, D is the correct answer.
Problem 12 in other years
- 1985 AMC 8
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