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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.
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