Question

As the number of pages in a photo book increases, the price of the book also increases. There is an additional shipping charge of 15%. The price of a book can bP = (20 + 0.5x) + 0.15(20 + 0.5x)e modeled by the equation below, where P = the price of the book, 20 is the printing Jennifer wants to purchase a book but only has $62.10 to spend. What is the maximum number of pages she can have in her book?charge, 0.5 is the charge per page, and x = the number of pages:

Answer 1

Let the maximum number of pages Jennifer can have be = x

Amount Jennifer has (P) = $62.10

Given equation is :

P =
`(20+0.5x)+0.15(20+0.5x)`

Price is given = 62.10 , so equation is :

`62.10=(20+0.5x)+0.15(20+0.5x)`

`62.10=20+0.5x+3+0.075x`

`62.10=23+0.575x`

`0.575x=39.10`

`x=68`

Hence, Jennifer can have a maximum of 68 pages in her book.