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 on Thursday. If he still has 14 pages to read on Friday, how many pages are there in the book?

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