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?  Answers.
A) 229 B) 270 C) 877 D) 266 E) 281

Rationale: let xx be the total number of pages in the book , then she finished 23 ⋅ x 23 ⋅ 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 = 270 x = 270 so the book is 270 pages long . answer : b
Answer: B