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 mode
by the equation below where, P = the price of the book, 20 is the printing charge, 0.5 is the charge per page, and 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?

Answer 1

Answer:

68

Step-by-step explanation:

Alright, so to find how many pages that can be had, we have to replace P with the amount of money Jennifer has. This is because P is the price of one book, and we want to find the number of pages (x) we can buy for a book price of 62.10 or less.

62.1 = (20 + 0.5x) + 0.15(20 + 0.5x)

62.1 = 20 + 3 + 0.5x + 0.075x

62.1 - 23 = 0.575x

39.1 = 0.575x

39.1/0.575 = x

x = 68

Therefore, in order to buy a book that costs 62.10, the book must have 68 pages.