Problem:
Thirteen black and six white hexagonal tiles were used to create the figure below. If a new figure is created by attaching a border of white tiles with the same size and shape as the others, what will be the difference between the total number of white tiles and the total number of black tiles in the new figure?
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Answer Choices:
A.
B.
C.
D.
E.
Solution:
The next border requires an additional white tiles. A total of white and black tiles will be used, so the difference is .
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions