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  • Category: Exam Questions

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


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    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.
  • #139343
    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!

  • #139348
    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

  • #139372
    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 )

  • #139421
    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

  • #139496
    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).


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