## anonymous one year ago 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

1. anonymous

$62.1=(20+0.5x)+0.15(20+0.5x)$expand this we get $62.1=20+0.5x+3+0.075x$

2. anonymous

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

3. anonymous

now solve$62.1=23+3.075x$

4. anonymous

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