
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
Grade: 5 Age: 10
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.

Vu from U.S.A
Grade: 9 Age: 14
Solution:
Q1: 180
1x/2+30+1x/3=x <=>3x/6+180/6+2x/6=6x/6 <=>5x+180=6x <=>5x6x=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.

Chris from United States
Grade: 5 Age: 10
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.
About me:

Zachary from United States
Grade: 5 Age: 10
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.

Ferocco from Brazil
Grade: 6 Age: 12

Justin from US
Grade: 5 Age: 10

Courtney from USA
Grade: 3rd Age: 8.5

nigariasa from usa school smitha
Grade: 6 Age: 10

Chris from United States
Grade: 5 Age: 10

Ryan from USA
Grade: 4 Age: 9
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