Finding the Cost of Novels in a Bookstore Sale

Hard Problem Solving Arithmetic

A bookstore is organizing a sale on two types of books: novels and textbooks. The price of each novel is $N$ dollars, and the price of each textbook is $T$ dollars. A customer wants to buy a total of 10 books with an overall budget of $100.

What is the cost of each novel?

Statement (1): The price of each textbook is $1 more than the price of each novel.

Statement (2): The customer decides to buy 4 novels.

Statement (1) alone is sufficient, but statement (2) alone is not sufficient.

Statement (2) alone is sufficient, but statement (1) alone is not sufficient.

Both statements (1) and (2) together are sufficient, but neither statement alone is sufficient.

Each statement alone is sufficient.

Statements (1) and (2) together are not sufficient.

Hint

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