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19 July, 22:26

Mo is reading a book. On Monday he reads 2/5 of the book. On Tuesday he reads 1/2 of the remaining pages. On Wednesday he reads 5/9 of the remaining pages. On Thursday he reads the rest of the book. Mo read 68 more pages on Tuesday than Wednesday. How many pages are there in the book

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  1. 19 July, 22:44
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    The total pages in the book are 510.

    Step-by-step explanation:

    Lets say, the total pages are x

    Mo read the book with following proportion.

    Monday: 2/5. x

    Pages left: 1. x - 2/5. x = 3/5. x

    Tuesday: 1/2. x of 3/5. x = (1/2. x). (3/5. x) = 3/10. x

    Pages left: 3/5. x - 3/10. x = 3/10. x

    Wednesday: 5/9. x of 3/10. x = (5/9. x). (3/10. x) = 1/6. x

    Thursday : ?

    Lets say the total proportion is 1. The proportion of book read on Thursday can be calculated as:

    1. x - 2/5. x - 3/10. x - 1/6. x = 2/15. x

    Also given, Mo read 68 more pages on Tuesday than Wednesday.

    Therefore,

    3/10. x - 1/6. x = 68

    2/15x = 68

    x = 510

    Therefore, the total pages in the book are 510.
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