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# At a certain store, each notepad costs x dollars and each

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Director
Joined: 23 Jun 2005
Posts: 847
GMAT 1: 740 Q48 V42
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At a certain store, each notepad costs x dollars and each [#permalink]  28 Oct 2006, 14:36
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0% (00:00) correct 0% (00:00) wrong based on 1 sessions
At a certain store, each notepad costs x dollars and each marker costs y dollars. If $10 is enough to buy 5 notepads and 3 markers, is$10 enough to buy 4 notepads and 4 markers instead?

(1) Each notepad costs less than $1. (2)$10 is enough to buy 11 notepads.

OA later!
Senior Manager
Joined: 31 Jul 2006
Posts: 440
Followers: 3

Kudos [?]: 14 [0], given: 0

Re: DS: Is $10 enough? [#permalink] 28 Oct 2006, 17:37 anandsebastin wrote: At a certain store, each notepad costs x dollars and each marker costs y dollars. If$10 is enough to buy 5 notepads and 3 markers, is $10 enough to buy 4 notepads and 4 markers instead? (1) Each notepad costs less than$1.

(2) $10 is enough to buy 11 notepads. OA later! E. 5x + 3y < 10 1) tells us that 1 notepad may cost as high as 1, then 1 marker may cost as high as 5/3 4 + 4*5/3 = > 32/3, which is higher then$10 (30/3)

2) tells us that 1 notepad may cost as high as $10/11 then 1 marker may cost as high as [10-5*(10/11)]*(1/3) => 60/33 so 4*10/11 + 4*60/33 => 360/33, which is higher then$10 (330/330), so it's not enough

however there might be a case where notepads and markers are much cheaper (say 1cents each), in which case $10 will be enought to buy 4 of each, so it's INSUFF. Manager Joined: 25 Sep 2006 Posts: 153 Followers: 1 Kudos [?]: 4 [0], given: 0 [#permalink] 29 Oct 2006, 18:26 E 2 Solved by plotting 2 line in a graph and checking their region. I) n<1 II) n <10/11 Also, II) is a specific condition of I), which means the choice A and C cannot be correct. [#permalink] 29 Oct 2006, 18:26 Similar topics Replies Last post Similar Topics: At a certain store, each notepad costs x$ and each marker 5 04 May 2011, 08:47
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