Question

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 thus day. If he still has 14 pages left to read on Friday, how many pages are the in the book?

Answer 1

The number of pages in the book is 180

Step-by-step explanation:

The first thing we should do is to convert these fractions to percentage

`Monday = (2)/(15) X 100 = 13.33\\\\Tuesday = (1)/(3) X 100 = 33.33%\\\\\\Wednesday = (2)/(9) X 100 = 22.22%\\\\\\\\`

3/4 of the remainder on thursday:

Thursday: (100 - (13.33 + 33.33 + 22.22) * (3/4) = 23.33%

he still has 14 pages left to read on friday

Friday: [100 - (13.33 + 33.33 + 22.22) ] - 23.33 = 7.77%

Which means that 14 pages represent 7.77% of the book.

Therefore the number of pages of the book is given by:

`=(100)/(7.77) X 14\\\\= 180`

Therefore, number of pages in the book is 180