NEW QUESTION

Question

GEETA READS 3/8TH OF A BOOK ON ONE DAY AND 4/5 OF THE REMAINDER ON ANOTHER DAY: 

1. PORTION OF THE BOOK LEFT UNREAD AFTER ONE DAY
2. PORTION OF THE BOOK READ ON ANOTHER DAY
3. PORTION OF THE BOOK LEFT AFTER TWO DAYS
4. TOTAL NUMBER OF PAGES IN THE BOOK ,IF 60 PAGES ARE LEFT UNREAD AFTER SECOND DAY.

Answer 1

 

 

(1)  She reads 3/8 of the book in 1 day.  That leaves 5/8 of the book unread after 1 day

 

(2)  On another day, she read 4/5 of the remainder from day 1

 

       (4/5((5/8) = 1/2

 

       She read 1/2 the book on another day

 

(3)  After 2 days, she read 3/8 + 1/2 of the book

 

       3/8 + 1/2 = 7/8

 

(4)   Since 60 pages remain, and 7/8 of the book has been read,  60 represents 1/8 of the pages in the book.

        8 times that amount represents the total pages in the book.

 

        8 • 60 = 480

 

there are 480 pages in the book.

Answer 2

Hi Gauri,

After the first day, there is 5/8 of the book left (1-3/8=5/8).

Since we know that 4/5 of the remaining 5/8 was read on the second day, we know this is equal to 1/2 of the book being read on the second day [(4*5)/(5*8)=20/40=1/2].

After two days of reading, this means that 1/8 of the book remained (5/8-1/2=1/8).

If 60 pages are left to be read after the second day, and we know that 1/8 of the book is unread, this means that 60pages=1/8book. So if we multiply both sides by 8, we find that there are 480 pages in the book.