2010 AMC8 Problem 21

#1
Hui is an avid reader. She bought a copy of the best seller ''Math is Beautiful''. On the first day, Hui read \(1/5\) of the pages plus \(12\) more, and on the second day she read \(1/4\) of the remaining pages plus \(15\) pages. On the third day she read \(1/3\) of the remaining pages plus \(18\) pages. She then realized that there were only \(62\) pages left to read, which she read the next day. How many pages are in this book?

\( \textbf{(A)}\ 120 \\\textbf{(B)}\ 180\\\textbf{(C)}\ 240\\\textbf{(D)}\ 300\\\textbf{(E)}\ 360 \)
 
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