Rodneyf2
Answered

(02.02)


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

Verified Answer :

eternal3fear

We are given the equation \(P = (20 + 0.5x) + 0.15(20+0.5x)\)

"Jennifer wants to purchase a book but only has $62.10 to spend."
This means that our \(P = 62.10\) 

Plug this in and we get
\(62.10 = (20+0.5x) + 0.15(20+0.5x)\)
Now all we have to do is solve for \(x\)

distribute the 0.15 in the second set of parenthesis and get
\(62.10 = 20 + 0.5x + 3 + 0.075x\)

then add like terms on our right side and get
\(62.10 = 23 + 0.575x\)

then subtract 23 from both sides
\(39.1 = 0.575x\)

then divide both sides by 0.575
\(x = 68\)


Therefore your answer is \(x = 68\) pages.

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