Answer:
180 pages
Explanation:
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?
Let
x = total number of pages in the book
Monday = 2/15x
Tuesday = 1/3x
Wednesday = 2/9x
Total = Monday + Tuesday + Wednesday
= 2/15x + 1/3x + 2/9x
= 6x+15x+10x / 45
= 31/45x
Thursday 3/4 of the remainder
Remainder = x - 31/45x
= (45x-31x)/45
= 14/45x
3/4 of the remainder
= 3/4 × 14/45
= 42/180x
(Monday, Tuesday, Wednesday) + Thursday
= 31/45x + 42/180x
= (124x + 42x) / 180
= 166/180x
Friday= 14 pages
x = 166/180x + 14
x - 166/180x = 14
(180x-166x)/180 = 14
14/180x = 14
x = 14 ÷ 14/180
= 14 × 180/14
x = 180 pages