Sophia finished 2/3 of a book. She calculated that she finished 90 more pages than she has yet to read. How long is her book?	Choose the correct choice from the following options
A) 140
B) 330
C) 460
D) 590
E) 270
Let x be the total number of pages in the book, then she finished 2/3⋅x pages.   Then she has x−2/3⋅x=1/3⋅x pages left.   2/3⋅x−1/3⋅x=90   1/3⋅x=90   x=270   So the book is 270 pages long   correct answer 270
<result>E</result>
Sophia finished 2/3 of a book. She calculated that she finished 90 more pages than she has yet to read. How long is her book?