SOLUTION: polly has a reading assignment in two books totaling 172 pages. the number of pages in the second book was 25 more than half of the number of pages in the first book. how many page

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Question 668291: polly has a reading assignment in two books totaling 172 pages. the number of pages in the second book was 25 more than half of the number of pages in the first book. how many pages did she have to read in each book?
Found 2 solutions by lynnlo, MathTherapy:
Answer by lynnlo(4176) About Me  (Show Source):
You can put this solution on YOUR website!
61pages and 111pages
total number of pages in both books =172

Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!

polly has a reading assignment in two books totaling 172 pages. the number of pages in the second book was 25 more than half of the number of pages in the first book. how many pages did she have to read in each book?

Let the amount of pages of reading assignment in the first book be P

Then the amount of pages of reading assignment in the second book = %281%2F2%29P+%2B+25

Together they total 172 pages, so P+%2B+%281%2F2%29P+%2B+25+=+172

2P + P + 50 = 344 ------ Multiplying by LCD, 2

3P + 50 = 344

3P = 344 - 50

3P = 294

P, or amount of pages of reading assignment in the first book = 294%2F3, or highlight_green%2898%29

Amount of pages of reading assignment in the second book = 172 - 98, or highlight_green%2874%29

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