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2010 AMC 8 Question 21

AMC8 · 2010 AMC 8

Question 21

Hui is an avid reader. She bought a copy of the bestseller Math is Beautiful. On the first day, Hui read $\frac{1}{5}$ of the pages plus $12$ more, and on the second day she read $\frac{1}{4}$ of the remaining pages plus $15$ pages. On the third day she read $\frac{1}{3}$ 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?
  1. $ \ 120 $
  2. $ \ 180 $
  3. $ \ 240 $
  4. $ \ 300 $
  5. $ \ 360 $