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 be modeled by the equation below, where P = the price of the book, 20 is the printing charge, 0.5 is the charge per page, and x = the number of pages:
P = (20 + 0.5x) + 0.15(20 + 0.5x)

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?

x =
pages

Answer 1

Since the maximum budget that Jennifer has is $62.10. You can input P=62.10 so now you can start solving. 

Steps: 
62.10 = (20+0.5x)+0.15(20+0.5x)
62.10 = 20 + 0.5x + 3 + 0.075x
(Combine "like" terms: so for here you combine x together)
62.10 = 0.575x + 20 +3
62.10 = 0.575x + 23
-23                    - 23
39.10 = 0.575x
(Now divide 0.575 on both sides.)
$\frac{39.10}{.575} = \frac{.575x}{.575}$
You should end up with: 
x = 68

Jennifer can have 68 pages in her book to fit her budget.