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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

Respuesta :

carlosego
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.

The different portion of book is read by Tyler in different days of week, the remaining part of 14 pages he read on Friday, hence,total number of pages in the books are 200.

Given information:

The portion of book Tyler read on Monday is 2/15

The portion of book Tyler read on Tuesday is 1/3

The portion of book Tyler read on Wednesday is 2/9

The portion of book Tyler read on Thursday is 3/4

And the remaining pages to read on Friday is 14

Consider in the book total pages are 100%

The total portion of book she read can be written as,

Total pages remaining = [tex]100-(13+33+22)-23[/tex]

[tex]R=100-(13+33+22)-23\\R=7[/tex]

Which means the 7% is  representing the 14 pages, hence, total number of pages T in the books are,

[tex]T=(100/7)\times 14\\T=200\\[/tex]

Hence,total number of pages in the books are 200.

For more information visit:

https://brainly.com/question/12031024

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