Question
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
Answers
GPT 3.5
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.
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.