2004 Cayley Problem 21

In a pack of construction paper, the numbers of blue and red sheets are originally in the ratio 2:7. Each day, Laura uses 1 blue sheet and 3 red sheets. One day, she uses 3 red sheets and the last blue sheet, leaving her with 15 red sheets. How many sheets of construction paper were in the pack originally?

\textbf{(A)}\ 144\quad \textbf{(B)}\ 252\quad \textbf{(C)}\ 135\quad \textbf{(D)}\ 270\quad \textbf{(E)}\ 105

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