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
Question
Answer:
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.
solved
general
11 months ago
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