Finishing the Book

Problem #108

Deadline to submit the solution: September 30th, 2003

 Melissa read one half plus 30 pages of her new book. There is 1/3 of the book left for her to read. Q1. How many pages are there in her book?

Solutions

Deepank Reddy Korandla from USA
Solution:
Q1: 180 pages

I started with 60 as the total number of pages. Thats because:
1. it should be above 30.
2. it should be a factor of 30 then i went on with 90,120,150 and 180. I could verify that 180 is the answer.
About me: My favorite subjects are science and math.
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Vu from U.S.A
Solution:
Q1: 180

1x/2+30+1x/3=x <=>3x/6+180/6+2x/6=6x/6 <=>5x+180=6x <=>5x-6x=-180 <=>-x=-180 <=>x=180
About me: I just came from Vietnam to the United States. My dream it to learn to educate and hopefully and build more to the United States for freedom more power to the Country.
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Chris from United States
Solution:
Q1: 180

I made a chart that had columns of the; number of pages, 1/3 the number of pages, half plus 30 of the number of pages, and 2/3 of the number of pages. I randomly guessed numbers for the length, and then filled in the other columns to see if each of those random lengths would work. I found that 180 was the answer.
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Zachary from United States
Solution:
Q1: 180 pages

I found out that if there were exactly 1/3 left of the book, and she read half of the book, plus 30 pages, then the 30 pages would be 1/2 of 1/3. So, 30 plus 30 is 60, and 60*3 is 180.
About me: I like doing math challenge problems. I also like to read a lot. My hobbies are building things and writing.
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Ferocco from Brazil
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Justin from US
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Courtney from USA
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nigariasa from usa school smitha
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Chris from United States
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Ryan from USA

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