1999 AMC 8 Problem 22

Attempt Problem 22 of the 1999 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 1999 AMC 8 solutions, or check the answer key.

All problems are used with official legal permission of the Mathematical Association of America (MAA).

22.

In a far-off land three fish can be traded for two loaves of bread and a loaf of bread can be traded for four bags of rice. How many bags of rice is one fish worth?
38\dfrac{3}{8}
12\dfrac{1}{2}
34\dfrac{3}{4}
2232\dfrac{2}{3}
3133\dfrac{1}{3}
Answer: D
Concepts:ratio and proportionunit conversion
Small hint:
Turn each trade into a value equation
Big hint:
Convert fish to bread, then bread to rice
Solution:
Three fish are worth two loaves of bread, so one fish is worth 23\dfrac23 of a loaf.
One loaf is worth 44 bags of rice, so one fish is worth 23⋅4=83=223\dfrac23\cdot4=\dfrac83=2\dfrac23 bags of rice.
Thus, D is the correct answer.
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