Write SQL query to solve given problem: Among the books that were published by Scholastic, how many were written by J.K Rowling?. Keep the solution inside sql tag ```sql [SQL-Query] ```
SELECT COUNT(*) FROM book AS T1 INNER JOIN publisher AS T2 ON T1.publisher_id = T2.publisher_id INNER JOIN book_author AS T3 ON T3.book_id = T1.book_id INNER JOIN author AS T4 ON T4.author_id = T3.author_id WHERE T2.publisher_name = 'Scholastic' AND T4.author_name = 'J.K. Rowling'