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

Explanation:

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

$Monday = \frac{2}{15} X 100 = 13.33\\\\Tuesday = \frac{1}{3} X 100 = 33.33%\\\\\\Wednesday = \frac{2}{9} X 100 = 22.22%$

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:

$=\frac{100}{7.77} X 14\\\\= 180$

Therefore, number of pages in the book is 180