Tony read 23 books, Dean read 12 books and Breanna read 17 books. Tony and Dean read 3 of the same books and all three had read the same book as well. In total how many different books have Tony, Dean, and Breanna read? Give me reasons, before answering the question
Tony and Dean together read 23 + 12 = 35 books. 3 of these books were duplicates so Tony and Dean together read 35 - 3 = 32 unique books. All three read 32 + 17 = 49 books. Because the books are being counted three times, the book is counted 3 - 1 = 2 extra times. All together they have read 49 - 2 = 47 different books. So the final answer is 47.