Tyler read 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?

Question

Mathematics

Sandoval

4 December, 17:29

Tyler read 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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Answers (1)

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Terrence Reid · Answer 1

Fractions are normally parts of a whole thing such that they complement it. In this case, monday = 2/15 of the book was read, Tuesday = 1/3, wednesday = 2/9, Thus for the three days he will have read a fraction of (2/15+1/3+2/9) = 31/45. The remainder will be 1 - 31/45 = 14/45, so on Thursday he read 3/4 * 14/45 = 7/30. On friday he read a fraction of 14/45 - 7/30 = 7/90.

Therefore, a fraction of 7/90 is equivalent to 14 pages. Thus the whole book was 14 * 90/7 = 180 pages

= 180 pages