Hey! I need some serious help with this...ASAP...

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

Respuesta :

62.10 < = (20 + 0.5x) + 0.15(20 + 0.5x)
62.10 < = 20 + 0.5x + 3 + 0.075x
62.10 < = 23 + 0.575x
62.10 - 23 < = 0.575x
39.10 < = 0.575x
39.10/0.575 < = x
68 < = x.......maximum number of pages is 68