A 120-page book hasplines to a page. If the number of lines were reduced by three on

each page the number of pages would need to be increased by 20 to give the same amount

of writing space. How many lines were there on the page originally?

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- April 27th 2011, 03:00 AMdanneAlgebra Problem Concerning Pages in a BookA 120-page book has
*p*lines to a page. If the number of lines were reduced by three on

each page the number of pages would need to be increased by 20 to give the same amount

of writing space. How many lines were there on the page originally?

- April 27th 2011, 04:00 AMbjhopper
Hi danne,

How many lines in the book? 120p.Write a second function of p based on thr revisions.What must be true of the two functions?

bjh - April 27th 2011, 04:03 AMSambit
Initially the book has a total of

**120p**lines.

When the number of lines in each page is reduced by 3, the total number of lines become**120(p-3)**.

By question,**120p=120(p-3)+20(p-3)**

Solve this equation to find**p** - April 27th 2011, 04:48 AMpoirot
or equivalently, total number of lines =120p initally, but afterwards, the total number of lines is a function of p-3 and 20 pages added. So need to solve 140(p-3)=120p