Answer: the book has 140 pages
Step-by-step explanation:
Let x represent the number of pages that the book has.
Tyler reads 2/15 of a book on Monday. This means that the number of pages that he read on Monday is 2x/15
He read 1/3 of it on Tuesday. This means that the number of pages that he read on Tuesday is x/3
He read 2/9 of it on Wednesday. This means that the number of pages that he read on Wednesday is 2x/9
The total number of pages read so far is
2x/15 + x/3 + 2x/9 = 72x/90 = 8x/10
The number of pages remaining is
x - 8x/10 = 2x/10
If he read 3/4 of the remainder on Thursday, It means that the number of pages he read on Thursday is
3/4 × 2x/10 = 3x/20
The remaining number of pages is
2x/10 - 3x/20 = x/20
If he still has 14 pages to read on Friday, it means that
x/20 = 14
x = 14 × 20
x = 140
