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.
A) 229	B) 270	C) 877	D) 266	E) 281
Let xx be the total number of pages in the book, then she finished 23⋅x23⋅x pages.   Then she has x−23⋅x=13⋅xx−23⋅x=13⋅x pages left.   23⋅x−13⋅x=9023⋅x−13⋅x=90   13⋅x=9013⋅x=90   x=270x=270   So the book is 270 pages long.   Answer:270
<result>B</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?