Problem:
Liliane has more soda than Jacqueline, and Alice has more soda than Jacqueline. What is the relationship between the amounts of soda that Liliane and Alice have?
Answer Choices:
A. Liliane has more soda than Alice.
B. Liliane has more soda than Alice.
C. Liliane has more soda than Alice.
D. Liliane has more soda than Alice.
E. Liliane has more soda than Alice.
Solution:
Let , and be the amounts of soda that Liliane, Jacqueline, and Alice have, respectively. The given information implies that and , and hence . Then
so .
The problems on this page are the property of the MAA's American Mathematics Competitions