The public library has exactly 2 floors. It has 1/2 as many shelves on its 2nd floor as it does on its 1st. If the second floor has 5/6 as many books per shelf as the first floor, what fraction of the library's books are on the first floor?
Pick one
A) 1/4
B) 5/14
C) 12/17
D) 9/14
E) 5/6
Lẹt x bé thế nó of shelves and ý bé thế nó of books per shelf on first floor.   Now no of shelves on 2nd floor = (1/2)*x   no of books per shelf on 2nd floor = (5/6) * y   Số total no books on first floor = xy and total no of books on 2nd floor = (1/2)*x*(5/6)*y = (5/12)*xý   fraction of library books on first floor = (xý)/(xý + (5/12)*xý)   =1 / (1+(5/12))   =12/17   Số 12/17
<result>C</result>
The public library has exactly 2 floors. It has 1/2 as many shelves on its 2nd floor as it does on its 1st. If the second floor has 5/6 as many books per shelf as the first floor, what fraction of the library's books are on the first floor?