Question

14. A boy reads of a book on the first day. On the second day he reads of the remaining
portion. What portion of the book does the boy read in the two days? If 100 pages are left
to be read, find how many pages are there in the book.​

Answer 1

Answer:

Kara read 20 pages of her new book on Saturday. She read 1/4 of the remaining pages on Sunday. She still has 36 pages to read. How many pages are in Kara's book?

Let X be the number of pages in the book.

Saturday: She reads 20 pages so at the end of the day there are ( X - 20 ) pages unread

Sunday: She reads ( 1/4 ) of remaining pages which means ( 3/4 ) of the remaining pages remain unread.

So: ( 0.75 )(X - 20 ) remain unread.

After Sunday there were 36 pages still to read. So

( 3/4 ) * (X - 20 ) = 36 pages

or

3X - 60 = 144

Therefore 3X = 144 + 60 = 204 pages

Therefore X = 68 pages in total (the total number of pages in the book)

So total number of pages is 68.

PB

Step-by-step explanation:

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