2004 AMC 8 Problem 16
Attempt Problem 16 of the 2004 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 2004 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
16.
Two mL pitchers contain orange juice. One pitcher is full and the other pitcher is full. Water is added to fill each pitcher completely, then both pitchers are poured into one large container. What fraction of the mixture in the large container is orange juice?
Small hint:
Compute the orange juice in each pitcher before water is added.
Big hint:
After filling both pitchers, the total mixture volume is mL.
Solution:
The first pitcher contains mL of orange juice. The second one has mL.
The large container then has mL of orange juice. The total amount of mixture is mL.
Then the fraction of orange juice is
Thus, C is the correct answer.
Problem 16 in other years
- 1985 AMC 8
- 1986 AMC 8
- 1987 AMC 8
- 1988 AMC 8
- 1989 AMC 8
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- 1991 AMC 8
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