Final answer:
Henry had 24 how-to-draw books and gave 1/4 of them, which is 6 books, to his sister.
Step-by-step explanation:
Henry started with a collection of 72 books, and exactly 1/3 of these books were how-to-draw books. To determine how many how-to-draw books he had, we calculate 1/3 of 72, which is 24 books. Henry then gave away 1/4 of his how-to-draw books to his sister. To find out how many books this was, we calculate 1/4 of 24, which equals 6 books. Therefore, Henry gave 6 how-to-draw books to his sister.