mark has 312 books in the bookcases. He has 11 times as many fiction books as nonfiction books. How many fiction books does Mark have?

Question

mark has 312 books in the bookcases.  He has 11 times as many fiction books as nonfiction books.  How many fiction books does he have?

Answer 1

Assume that the total number of books = fiction books + non-fiction books)

Let x = nonfiction books

Then 11x = fiction books

11x + x = 312

12x = 312

x = 26 (nonfiction books)

11x = 286 (fiction books)