The public library has exactly 2 floors. It has 1/4 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?	Choose the correct choice from the following answers
A) 1/4  B) 5/14  C) 5/9  D) 24/29  E) 5/6
Let x be the no of shelves and y be the no of books per shelf on first floor.   Now no of shelves on 2nd floor = (1/4)*x   no of books per shelf on 2nd floor = (5/6) * y   So total no books on first floor = xy and total no of books on 2nd floor = (1/4)*x*(5/6)*y = (5/24)*xy   fraction of library books on first floor = (xy)/(xy + (5/24)*xy)   =1 / (1+(5/24))   =24/29   So 24/29
<result>D</result>
The public library has exactly 2 floors. It has 1/4 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?