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
Difficulty rating: 1180
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 234=83=223\dfrac23\cdot4=\dfrac83=2\dfrac23 bags of rice.

Thus, D is the correct answer.

← Problem 21#21
Full Exam

Problem 22 in Other Years

1985 AMC 8 · 1986 AMC 8 · 1987 AMC 8 · 1988 AMC 8 · 1989 AMC 8 · 1990 AMC 8 · 1991 AMC 8 · 1992 AMC 8 · 1993 AMC 8 · 1994 AMC 8 · 1995 AMC 8 · 1996 AMC 8 · 1997 AMC 8 · 1998 AMC 8 · 2000 AMC 8 · 2001 AMC 8 · 2002 AMC 8 · 2003 AMC 8 · 2004 AMC 8 · 2005 AMC 8 · 2006 AMC 8 · 2007 AMC 8 · 2008 AMC 8 · 2009 AMC 8 · 2010 AMC 8 · 2011 AMC 8 · 2012 AMC 8 · 2013 AMC 8 · 2014 AMC 8 · 2015 AMC 8 · 2016 AMC 8 · 2017 AMC 8 · 2018 AMC 8 · 2019 AMC 8 · 2020 AMC 8 · 2022 AMC 8 · 2023 AMC 8 · 2024 AMC 8 · 2025 AMC 8 · 2026 AMC 8