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?

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?

kewlgeek555 · Answer

Ooh.  This time you have to plug in the 62.10 to the P and solve for x.  Let me see if I can help.  I know that the new equation is now$$62.10=(20+0.5x)+0.15(20+0.5x)$$

anonymous · Answer

okay so, x would equal 68, the number of pages then

kewlgeek555 · Answer

Yes ma'am!  :-)
You are very good in equation indeed.  Are you taking Algebra I, just asking.

anonymous · Answer

yes, i am and thank you

kewlgeek555 · Answer

You are welcome.  I am also taking Algebra I.

anonymous · Answer

how far are you into it? i just started last week

anonymous · Answer

I started to day taking algebra I.