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

Answer 1

Explanation:

We are simply going to start with reverse algebra;

if after reading 3/4 of the remainder, there are 14pages left

this means 14pages is equal to 1/4 of the remainder,

thus; if 1/4=14

3/4=42pages. which is the number of the remaining pages

So lets take the total number of pages as x

tyler read 2/15 of it on monday= 2x/15

he read 1/3 of it on tuesday=x/3

he read 2/9 of it on wednesday=2x/9

after subtracting the above value the remainder is 42pages

x-(2x/15+x/3+2x/9)=42pages

after evaluating the lcm

x-(31x/45)=42pages

evaluating the lcm once again

14x/45 = 42pages

multiplying both sides by 45 and dividing by 14

1890/14=135pages