• # Count pages of the book that are read on Friday and Saturday.

I read 2/9 of a book on Friday, 1/3 of it on Saturday and the remaining 160 pages on Sunday. How many pages are there in the book and also express total number of pages read on Friday and Saturday as a whole number?
Can you give me the answer for the above question?
Experts: do resolve this query.
• First of all, let us assume that the total number of pages in the book is represented as x.
According to the question, 2/9th part of the book is read on Friday and 1/3rd of that book is read on Saturday.
Therefore, Amount of the book read by Saturday is (2x/9)+(x/3)=5x/9.
Now, if the entire book is considered as one unit, then the remaining amount of the book to be read is (1-5x/9)=4x/9.
According to the question, 4x/9=160------(i)
Solving (i) we get x=360.
Therefore, total number of pages in the book is 360(Ans) and,
The number of pages read on Friday is (2/9)* 360=80 pages(Ans) and,
The number of pages read on Saturday is (1/3)* 360=120 pages(Ans).

Live life Kingsize!

• Assume that the total number of pages in the book is n.
So, number of pages read on Friday= (2/9) n
number pages read on Saturday =(1/3) n
Remaining pages are 160.
Therefore
Total pages, n = (2/9)n + (1/3)n + 160
(2/9) n+ (1/3)n + 160 = n
n((2/9) + (1/3)) + 160 = n
n ((2+3)/9) + 160 = n
n (5/9) +160 =n
n_(5/9)n =160
(4n)/9 = 160
4n = 160 x 9
4n = 1440
Therefore n = (1440/4)
n = 360
So total number of pages in the book is 360 pages.
Therefore number of pages read on Friday= (2/9) n = (2/9) 360 = 80
and
number of pages read on Saturday = (1/3) n
= (1/3) 360 = 120

• Hi,
Suppose total number of pages = X
So total pages read on Friday = 2X /9
Pages read on Saturday= X /3
So pages read on Friday + Saturday = 2X /9 +X/3
= 5X /9
Remaining pages to be read are = X - 5X /9 = 4X /9
According to question remaining pages = 160
It means 4X /9 =160
So, X = 360
number of pages read on Friday and Saturday =360x 5X /9
= 200

Hence, book contains total 360 pages and
pages read on Friday and Saturday =200 ( total )

• Let there be X pages in the book.
According to the question,
Pages read on Friday= 2/9 X
Pages read on Saturday = X/3
Remaining pages to be read= 160
Hence as per question,
2/9X + X/3 + 160 = X
Or 2/9X+X/3-X= - 160
Or 2X+3X -9X =- 160 multiplied by 9
Or -4X = - 1440
Therefore X = -1440/-4 = 360
Hence total number of pages in the book is 360.
Pages read on Friday = 2/9 X 360 = 80
Pages read on Saturday = 1/3X 360= 120

• Let us assume that the total number of pages in the book= x
According to the question, 2/9th part of the book is read on Friday and 1/3rd of that book is read on Saturday.
Therefore, Amount of the book read on Friday and Saturday
=(2x/9)+(x/3)=5x/9.
Now, assume that entire book is considered as one unit.
Then the remaining amount of the book to be read
= (1-5x/9)=4x/9.
According to the question, 4x/9=160
Solving it we get x=360.
Therefore, total number of pages in the book is 360(Ans) and,
The number of pages read on Friday is (2/9)x 360=80 pages(Ans) and,
The number of pages read on Saturday is (1/3)x 360=120 pages(Ans).