SOLUTION: asif read 3/5 pages of book and 4/5 of the remaining pages .if he has still to read 28 pages,find the number of pages in the book.

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Question 201516: asif read 3/5 pages of book and 4/5 of the remaining pages .if he has still to read 28 pages,find the number of pages in the book.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = number of pages in the book
given:
Asif read %283%2F5%29%2Ax pages
There were %282%2F5%29%2Ax pages left,
and he read %284%2F5%29%2A%282%2F5%29%2Ax more
The total pages he read was:
%283%2F5%29%2Ax+%2B+%288%2F25%29%2Ax
If there were 28 pages left, I can write:
x+=+%283%2F5%29%2Ax+%2B+%288%2F25%29%2Ax+%2B+28
Multiply both sides by 25
25x+=+15x+%2B+8x+%2B+700
2x+=+700
x+=+350
There were 350 pages in the book
check:
x+=+%283%2F5%29%2Ax+%2B+%288%2F25%29%2Ax+%2B+28
350+=+%283%2F5%29%2A350+%2B+%288%2F25%29%2A350+%2B+28
350+=+210+%2B+112+%2B+28
350+=+350
OK