There 3 kinds of books in the library physics,chemistry and

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There 3 kinds of books in the library physics,chemistry and [#permalink]

14 Nov 2009, 01:04

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72% (02:37) correct

27% (00:51) wrong

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There 3 kinds of books in the library physics,chemistry and biology. Ratio of physics to chemistry is 3 to 2; ratio of chemistry to biology is 4 to 3, and the total of the books is more than 3000?which one of following can be the total of the book?

A. 3003
B. 3027
C. 3024
D. 3021
E. 3018

[Reveal] Spoiler: OA

Last edited by Bunuel on 29 Mar 2012, 06:43, edited 1 time in total.

Edited the question and added the OA

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Re: Total number of books [#permalink]

14 Nov 2009, 01:23

kp1811 wrote:

Given: P:C=3:2 and C:B=4:3. Equate C's by finding the LCM of 2 and 4 so that to be able to write down one ratio for all three kinds of books: P:C=6:4 and C:B=4:3 --> P:C:B=6:4:3. Now, 6+4+3=13, which means that we have total of 13 parts, thus the total number must be divisible by 13, only answer divisible by 13 is 3003.

Answer: A
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Re: Total number of books [#permalink]

14 Nov 2009, 01:44

True.

P:C = 3:2, C:B = 4:3 ( multiply P:C by 4 and C:B by 2 so that we have same C )
P:C = 12:8, C:B = 8:6
P:C:B = 12:8:6 = 6:4:3
6x+4x+3x= total =13x, so the total number of books should be divisible by 13, only 3003 is a possibility.

Re: Total number of books [#permalink] 14 Nov 2009, 01:44

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There 3 kinds of books in the library physics,chemistry and

There 3 kinds of books in the library physics,chemistry and

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