# Max started to read a novel. he read 15 pages a day. after 6 days he had 3/8 of the book left. how many pages are there in the book?

2
by nityaSetty190

2015-05-15T12:37:29+05:30
NO.OF PAGES MAX READ EACH DAY     =15 PAGES
NO.OF PAGES READ BY MAX IN 6 DAYS=15*6
=90 PAGES
NO.OF PAGES LEFT IN THE BOOK          = 3/8

3/8=90
1/8=90/3
=30
8/8=TOTAL PAGES
=30*8
=200 PAGES
its not correct! If no. of pages read is 90 then how come 3/8 is fraction of book read?? 3/8 is fraction of book LEFT after 6 days. So, 3/8 is not equal to 90........
Check my answer for a better solution.........
2015-05-15T12:58:50+05:30
In 1 day Max read 15 pages
In 6 days Max read 15 × 6 = 90 pages
Fraction of book left to read after 6 days = 3/8
Fraction of book read in 6 days = 1 - (3/8) = (8 - 3)/8 = 5/8
Therefore, 5/8 of the total no. of pages = 90
Total no. of pages in the book = 90 ÷ 5/8 = (90 × 8)/5 = 720 ÷ 5 = 144 pages

Therefore, there are 144 pages in the book

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