Please help me and explain how to do this; I will fan and give medal (:

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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

Please help me and explain how to do this; I will fan and give medal (:

----------

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

hero · Answer

Let P = 62.10

62.10 = (20 + 0.5x) + 0.15(20 + 0.5x)
62.10 = (20 + 0.5x)(1 + 0.15)
62.10 = (20 + 0.5x)(1.15)

Finish solving for x

anonymous · Answer

How do I solve for x? I'm very new to algebra and I'm extremely lost. @Hero

hero · Answer

Distribute 1.15

anonymous · Answer

So 20 + 0.5 times 1.15? @Hero