Two Variable equations

Mathematics
Tutor: None Selected Time limit: 1 Day

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
Sep 23rd, 2015

Thank you for the opportunity to help you with your question!

We can set the highest price she can pay equal to "P" in the above equation, which will in turn provide us with the largest "x" number of pages in the book she can purchase. So,

62.10= (20 + 0.5x) + 0.15(20 + 0.5x).

62.10= 20 + 0.5x + 3 + 0.075x   (using distributive property)

62.10= 23 +.575x                         (simplify like terms)

39.10= .575x                               (subtract from both sides of the equation)

68= x                                             (divide 0.575 from both sides of the equation)

The most pages Jennifer can afford is 68 pages, because any more than this number and she will over pay for the book.

Please let me know if you need any clarification. I'm always happy to answer your questions.
Sep 23rd, 2015

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Sep 23rd, 2015
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Sep 23rd, 2015
Dec 9th, 2016
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