A librarian is expanding some sections of the city library. He buys books at a special price from a dealer who charges one price for any hardback book and another price for any paperback book. For the children's section, Mr. Middleton purchased 74 new hardcover books and 99 new paperback books, which cost a total of $1,556. He also purchased 29 new hardcover books and 99 new paperback books for the adult fiction section, spending a total of $971. What is the special price for each type of book?
