Tyler reads 2/15 of a book on monday, 1/3 of it on Tuesday, 2/9 of it on Wednesday, and 3/4 of the remainder of Thursday. If he still has 14 pages left to read on Friday, how many pages are there in the book?
Let X be the number of pages in the book
Tyler reads 2/15*X + 1/3*X + 2/9*X + 3/4*(X-(2/15*X + 1/3*X + 2/9*X)) = X - 14
Tyler reads 2/15*X + 1/3*X + 2/9*X + 3/4*(X-(2/15*X + 1/3*X + 2/9*X)) = X - 14
Adding up all the terms on the left side of the equation: 2/15*X + 1/3*X + 2/9*X + 3/4*X - 3/4 * 2/15*X - 3/4* 1/3*X - 3/4* 2/9*X = X - 14
The equation becomes: 79/180 *X = X - 14
Subtracting X from both sides of the equation: 79/180 *X - X = - 14
Multiplying both sides of the equation by 180: 79X - 180X = - 2520
Subtracting 79X from 180X: -79X = -2520
Dividing both sides of the equation by -79: X = -2520/ -79
The number of pages in the book is X = <<2520/79=31.898>>31.8981386
Rounded to the nearest whole number, there are 32 pages in the book. Answer: \boxed{32}.