BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

Fractions

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Junior | Next Rank: 30 Posts
Posts: 10
Joined: Wed Feb 18, 2009 9:15 pm

Fractions

by ornelaspedro » Tue Aug 04, 2009 7:59 am
The public library has exactly 2 floors. It has 2/3 as many shelves in its second floor as it does on its first. If the second floor has 5/6 as many books per shelf as the fist floor, what fraction of the library's books are in the first shelf.

a. 1/4
b. 5/5
c. 5/9
d. 9/14
e. 5/6

D
Top
Source: — Problem Solving |
Master | Next Rank: 500 Posts
Posts: 392
Joined: Thu Jan 15, 2009 12:52 pm
Location: New Jersey
Thanked: 76 times

by truplayer256 » Tue Aug 04, 2009 8:57 am
x= Number of shelves on the first floor

y= Number of books per shelf on the first floor

2/3(x)= Number of shelves on the second floor

5/6(y)= Number of books per shelf on the second floor

Total number of books on the first and second floor= xy+5xy/9=14xy/9

Fraction of books on the first floor= xy/(14xy/9)=xy*9/14xy=9/14 D
Top
Master | Next Rank: 500 Posts
Posts: 125
Joined: Sun Sep 16, 2007 1:38 pm
Thanked: 6 times

Re: Fractions

by chetanojha » Fri Aug 07, 2009 3:23 am
ornelaspedro wrote:The public library has exactly 2 floors. It has 2/3 as many shelves in its second floor as it does on its first. If the second floor has 5/6 as many books per shelf as the fist floor, what fraction of the library's books are in the first shelf.

a. 1/4
b. 5/5
c. 5/9
d. 9/14
e. 5/6

D
Since you are asked ratio it doesn't matter what no. you substitute.
Attachments
ratio.JPG
Top
Post new topic Post Reply
• Page 1 of 1