2016 AMC 10B Problems/Problem 4

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Problem

Zoey read $15$ books, one at a time. The first book took her $1$ day to read, the second book took her $2$ days to read, the third book took her $3$ days to read, and so on, with each book taking her $1$ more day to read than the previous book. Zoey finished the first book on a monday, and the second on a Wednesday. On what day the week did she finish her $15$th book?

$\textbf{(A)}\ Sunday\qquad\textbf{(B)}\ Monday\qquad\textbf{(C)}\ Wednesday\qquad\textbf{(D)}\ Friday\qquad\textbf{(E)}\ Saturday$