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?

x = ______________________ pages

Answer 1

\[62.1=(20+0.5x)+0.15(20+0.5x)\]expand this we get \[62.1=20+0.5x+3+0.075x\]

Answer 2

P = (20 + 0.5x) + 0.15(20 + 0.5x)
= 20 + 0.5x + 3 + 0.075x
= 23 + 0.575x
Therefore, \(x = \frac{(P-23)}{0.575}
= \frac{(62.10 - 23)}{0.575}
= 68\)

Answer 3

now solve\[62.1=23+3.075x\]

Answer 4

@adxpoi you are suppose to let him/her solve it