Question

(02.02)

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

We are given the equation
`P = (20 + 0.5x) + 0.15(20+0.5x)`

"Jennifer wants to purchase a book but only has $62.10 to spend."
This means that our
`P = 62.10`

Plug this in and we get

`62.10 = (20+0.5x) + 0.15(20+0.5x)`
Now all we have to do is solve for
`x`

distribute the 0.15 in the second set of parenthesis and get

`62.10 = 20 + 0.5x + 3 + 0.075x`

then add like terms on our right side and get

`62.10 = 23 + 0.575x`

then subtract 23 from both sides

`39.1 = 0.575x`

then divide both sides by 0.575

`x = 68`


Therefore your answer is
`x = 68` pages.