read half a book, if i read 84 more pages i will be 2/3 way through book, How many pages is book?

Question

read half a book, if i read 84 more pages i will be 2/3 way through book, How many pages is book?

Answer 1

Let x = the number of pages are in the book

 

The next step is to set up an equation for this situation in which you could solve for x.

 

 1/2*x+84=2/3*x

-1/2*x      -1/2*x

 

84=4/6*x-3/6*x = 1/6*x  Multiply both sides of the equation by 6.

 

6(84) = x

 

504=x Thus, there are 504 pages in the book. 

Answer 2

x/2 = what you have read

x/2 + 84 = what you are going to read

x/2 + 84 = 2x/3 = how much of the book you have read

 

x/2 + 84 = 2x/3

84 = 2x/3 - x/2

84 = 4x/6 - 3x/6

84 = x/6

504 = x

 

The book has 504 pages.