For her 16th birthday, Kate receives a book. On each page whose digits sum to 16, there is one word of a secret birthday message written in the margin. If the book is 580 pages, how many words are in the secret birthday message?
79, 88, 97
169 , 178, 187, 196
259, 268, 277, 286, 295
349, 358, 367, 376, 385, 394
439, 448, 457, 466, 475, 484, 493
529, 538, 547, 556, 565, 574
31 words