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5 August, 14:57

Tyler reads 2/15 of a book on monday, 1/3 of it on tuesday, 2/9 of it on wednesday, and 3/4 of the remainder on thursday, if he still has 14 pages left to read on friday, how many pages are there in the book

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  1. 5 August, 15:21
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    The first thing you should do is convert those fractions you have to percentages to then be able to get the number of pages of the book.

    Monday: (2/15) * 100 = 13.33333333%

    Tuesday: (1/3) * 100 = 33.33333333%

    Wednesday: (2/9) * 100 = 22.22222222%

    3/4 of the remainder on thursday:

    thursday: (100 - (13.33333333 + 33.33333333 + 22.22222222) * (3/4) = 23.33333333%

    he still has 14 pages left to read on friday

    Friday:

    [100 - (13.33333333 + 33.33333333 + 22.22222222) ] - 23.33333333 = 7.777777778%

    Which means that 14 pages represent 7.777777778% of the book.

    Therefore the number of pages of the book is given by:

    (100 / 7.777777778) * 14 = 180.

    Answer:

    The book has 180 pages.
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