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
3F23F(32)(23)F=2B=B=4R=32(4R)=38R=232R.
Answer: D.
The problems on this page are the property of the MAA's American Mathematics Competitions