Question

I need some help on this question guys!

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

the pages is p= 68
your welcome

Answer 2

Okay, as it is in both parts of your equation make 2 brackets for the RHS.

62.1 = (20 + 0.5x)(1+0.15)
62.1/1.15 = 20 + 0.5x
54.26... = 20 + 0.5x
34.26... = 0.5x
68.52, although rounded down makes it 68 pages.