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?

anonymous · Answer

$$(20+0.5x) + 0.15(20+0.5x)=62.10$$Distribute   .15(20+.5x) $$20+.05x+3+.075=62.10$$combine like terms$$23+.125x=62.10$$Subtract 23 from both sides of the equation.$$.125x=39.10$$divide by sides by .125$$x=312.8$$So she can buy a book with 312 pages, since she not likely going to be able to buy  .8 of a page.