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# If 20 Swiss Francs is enough to buy 9 notebooks and 3

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Manager
Joined: 30 May 2009
Posts: 202
If 20 Swiss Francs is enough to buy 9 notebooks and 3  [#permalink]

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30 Jul 2009, 10:17
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If 20 Swiss Francs is enough to buy 9 notebooks and 3 pencils, is 40 Swiss Francs enough to buy 12 notebooks and 12 pencils?

(1) 20 Swiss Francs is enough to buy 7 notebooks and 5 pencils.
(2) 20 Swiss Francs is enough to buy 4 notebooks and 8 pencils.

There is discrepancy over the OA....thats why I am not posting the OA. Lets hope we reolve the what the OA is.

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CEO
Joined: 17 Nov 2007
Posts: 3484
Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40

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30 Jul 2009, 12:34
sdrandom1 wrote:
If 20 Swiss Francs is enough to buy 9 notebooks and 3 pencils, is 40 Swiss Francs enough to buy 12 notebooks and 12 pencils?

(1) 20 Swiss Francs is enough to buy 7 notebooks and 5 pencils.
(2) 20 Swiss Francs is enough to buy 4 notebooks and 8 pencils.

There is discrepancy over the OA....thats why I am not posting the OA. Lets hope we reolve the what the OA is.

I remember my solution of the problem, look at here: ds-tricky-one-78553.html
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Manager
Joined: 05 Jul 2008
Posts: 131
GMAT 2: 740 Q51 V38

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01 Aug 2009, 04:28
sdrandom1 wrote:
If 20 Swiss Francs is enough to buy 9 notebooks and 3 pencils, is 40 Swiss Francs enough to buy 12 notebooks and 12 pencils?

(1) 20 Swiss Francs is enough to buy 7 notebooks and 5 pencils.
(2) 20 Swiss Francs is enough to buy 4 notebooks and 8 pencils.

20S>=9N+3P
(?) 40S >=12N + 12P

(1) 20S>=7N+5P (Insuf because the number of N is bigger than P)
(2) 20S >=4N+8P

So I'll try to make the number of notebooks equal to that of pencils.
20S >= 9N+3P (the number of notes is 6 more than that of pencils) x2
20S >= 4N+8P (the 4 less ) x3
So
40S >= 18N + 6P
60S >= 12N + 24P

100S >= 30N + 30P
=> 40S >= 12N + 12P

B B B B B

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
Re: Tough Inequality &nbs [#permalink] 01 Aug 2009, 04:28
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