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

Question

Cutie

Mathematics

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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Answers (1)

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Petty · Answer 1

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.