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

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Director
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Joined: 23 Jun 2005
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At a certain store, each notepad costs x dollars and each [#permalink] New post 28 Oct 2006, 14:36
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A
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C
D
E

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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
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Re: DS: Is $10 enough? [#permalink] New post 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
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 [#permalink] New post 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
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At a certain store, each notepad costs x dollars and each

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