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

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

umm · Answer

Given$$P = (20 + 0.5x) + 0.15(20 + 0.5x)$$ $62.10 is the maximum budget Jennifer can spend.
So, the maximum price a book can have would be$$$62.10$$Substituting the value of P in the equation$$P = (20 + 0.5x) + 0.15(20 + 0.5x) $$$$P = $ 62.10$$Therefore,$$$62.10 = (20 + 0.5x) + 0.15(20 + 0.5x) $$Now solving for x we get: $$62.10 = 20 + 0.5x + 0.15(20) + 0.15(0.5x) $$$$62.10 = 20 + 0.5x + 3 + 0.075x$$Add like terms $$62.10 = (0.5x + 0.075x) + (20 + 3) $$$$62.10 = 0.575x + 23 $$Subtracting 23 from both sides$$39.10 = 0.575x$$Dividing both sides by 0.575$$x = 68$$ So therefore, your answer will be$$x = 68$$

stylequeen · Answer

@umm thank you so much have an amazing day

umm · Answer

No problem, you as well. (: