SOLUTION: 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 e

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: 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 e      Log On


   

Question 1096957:
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 by josh_jordan(263) About Me  (Show Source):
You can put this solution on YOUR website!
P = 62.10 (The amount Jennifer has to spend)

P = (20 + 0.5x) + 0.15(20 + 0.5x) =====>

62.10 = (20 + 0.5x) + 0.15(20 + 0.5x) =====>

Use the distributive property to multiply 0.15 by each of the terms in the second set of parenthesis:

62.10 = (20 + 0.5x) + 3 + 0.075x =====>

Remove the parenthesis from (20 + 0.5x) and combine like terms on the right side of the equal sign:

62.10 = 20 + 0.5x + 3 + 0.075x =====> 62.10 = 23 + 0.575x

Subtract 23 from both sides of the equation:

62.10 - 23 = 23 - 23 + 0.575x =====> 39.10 = 0.575x

Divide both sides of the equation by 0.575 to solve for x:

39.10%2F0.575=0.575x%2F0.575 =====> 68 = x

Answer: x = 68 pages