2008 AMC 8 Problem 13
Attempt Problem 13 of the 2008 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 2008 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
13.
Mr. Harman needs to know the combined weight in pounds of three boxes he wants to mail. However, the only available scale is not accurate for weights less than pounds or more than pounds. So the boxes are weighed in pairs in every possible way. The results are and pounds. What is the combined weight in pounds of the three boxes?
Answer: C
Small hint:
Each box appears in exactly two of the three pair weights.
Big hint:
Add the three pair weights, then divide by
Solution:
Let the weights be We know Adding all of this yields This makes
Thus, the answer is C .
Problem 13 in other years
- 1985 AMC 8
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