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In a certain collection of books there are 30 books (m25#21)

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In a certain collection of books there are 30 books (m25#21) [#permalink] New post 15 Feb 2012, 06:53
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In a certain collection of books there are 30 books in hard cover that contain more than 100 pages. If 15 percent of the books that contain more than 100 pages are in hard cover, how many books contain more than 100 pages but are not in hard cover?

(A) 60
(B) 90
(C) 170
(D) 180
(E) 200
[Reveal] Spoiler: OA

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Re: In a certain collection of books there are 30 books (m25#21) [#permalink] New post 30 Mar 2012, 20:36
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I setup a simple proportion for this:

15% of all the books are hardcover and over 100 pages. This number was 30.

So what we're trying to find out right now is x, which is the total number of books.

15/100 = 30/x

x = 200

But now we have to subtract 30 from this, because we are trying to find the number of books that are only over 100 pages.

Answer: 170
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Re: In a certain collection of books there are 30 books (m25#21) [#permalink] New post 01 Apr 2012, 20:30
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dzyubam wrote:
In a certain collection of books there are 30 books in hard cover that contain more than 100 pages. If 15 percent of the books that contain more than 100 pages are in hard cover, how many books contain more than 100 pages but are not in hard cover?

(A) 60
(B) 90
(C) 170
(D) 180
(E) 200


total hard cover books> 100 pages = 30
let total books>100 pages=x

then 0.15x=30
=> x=200

hence 200-30=170 =no. of books>100 pages but no hard cover

hence C
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Re: In a certain collection of books there are 30 books (m25#21) [#permalink] New post 20 May 2013, 18:51
restore wrote:
I setup a simple proportion for this:

15% of all the books are hardcover and over 100 pages. This number was 30.

So what we're trying to find out right now is x, which is the total number of books.

15/100 = 30/x

x = 200

But now we have to subtract 30 from this, because we are trying to find the number of books that are only over 100 pages.

Answer: 170


This is an EXCELLENT EXPLANATION!!! VERY Simple and straight foward thanks
Re: In a certain collection of books there are 30 books (m25#21)   [#permalink] 20 May 2013, 18:51
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