Let x be the total number of books on the shelf.
3/8 of the books are English books, so there are 3/8*x English books.
The remainder of the books is 5/8*x.
2/5 of the remainder are mathematics books, so there are (2/5)*(5/8)*x = 1/4*x mathematics books.
The rest of the books are science books, so there are 5/8*x - 1/4*x = 1/8*x science books.
Given that there are 27 science books, we have:
1/8*x = 27
x = 27*8
x = 216
Therefore, there are 216 books on the shelf altogether.
On a shelf 3/8 of the books are english books and 2/5 of the remainder are mathematics books. The rest of the books are science books. If there are 27 science books how many books are on the shelf altogther
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