P L E A S E H E L P !! ILL GIVE GOLD MEDAL (:

as the numbers of pages in a photo book increase, the price of the book also increase. there is an aditional shipping charge of 15%. the price of a book can be modeled by the equation below where p = the price of 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?

Question

P L E A S E H E L P !! ILL GIVE GOLD MEDAL (: 

as the numbers of pages in a photo book increase, the price of the book also increase. there is an aditional shipping charge of 15%. the price of a book can be modeled by the equation below where p = the price of 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?

anonymous · Answer

sub in 62.10 for p in the equation given.

62.10 = 20 + 0.5x + .15(20 + .5x) -- distribute through the parenthesis
62.10 = 20 + .5x + 3 + .075x
combine like terms
62.10 = 23 + .575x
subtract 23 from both sides
62.10 - 23 = .575x
59.10 = .575x
divide both sides by .575
59.10/.575 = x
102.78 = x
round it to 102 pages, because if it is not a whole page, round it down.

you might better get a second opinion on this just to make sure

anonymous · Answer

wait..I made a mistake...hold on

anonymous · Answer

62.10 - 23 = .575x
39.10 = .575x
39.10/.575 = x
68 = x pages

anonymous · Answer

68 pages

anonymous · Answer

Thank you (: @kelliegirl33

anonymous · Answer

its ok....sorry if I confused you with my mistake

anonymous · Answer

Oh no its fine!