MATH SOLVE

2 months ago

Q:
# 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

Accepted Solution

A:

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.

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.