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
Answer:
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 3/4Β Γ 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 14Β Γ 90/7 =180 pages
= 180 pages
solved
general
8 months ago
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