Problem:
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?
Answer Choices:
A. 83​
B. 21​
C. 43​
D. 232​
E. 331​
Solution:
One fish is worth 32​ of a loaf of bread and 32​ of a loaf of bread is worth 32​⋅4=38​=232​ bags of rice.
OR
3F23​F(32​)(23​)F​=2B=B=4R=32​(4R)=38​R=232​R.​
Answer: D​.
The problems on this page are the property of the MAA's American Mathematics Competitions