2000 Gauss 7 Problem 25

A square floor is tiled, as partially shown, with a large number of regular hexagonal tiles. The tiles are coloured blue or white. Each blue tile is surrounded by 6 white tiles and each white tile is surrounded by 3 white and 3 blue tiles. Ignoring part tiles, the ratio of the number of blue tiles to the number of white tiles is closest to

\textbf{(A)}\ 1:6\quad \textbf{(B)}\ 2:3\quad \textbf{(C)}\ 3:10\quad \textbf{(D)}\ 1:4\quad \textbf{(E)}\ 1:2

If there are no answer choices shown, enter a numerical answer.

Full credit to this problem is given to the CEMC, you may view all Gauss contests here.