Question

Problem 1: Tyler reads 2/3 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 left to read on Friday, how many pages are there in the book?

Answer 1

180 pages

Explanation:

Let

x = total number of pages

Monday + Tuesday + Wednesday

2/15x + 1/3x + 2/9x

= (6x+15x+10x)/45

= 31/45x

Thursday

x - 31/45x

= (45x-31x)/45

= 14/45x

3/4 of 14/45x

= 3/4 * 14/45x

= 42/180x

Total pages read = 31/45x + 42/180x

= (124x+42x)/180

= 166/180x

If he still has 14 pages left to read on Friday

Total read from Monday to Thursday + Friday

x = 166/180x + 14

x - 166/180x = 14

(180x-166x)/180 = 14

14/180x = 14

x = 14 ÷ 14/180

x = 14 × 180/14

x = 180 pages