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

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

28 Oct 2006, 15:36

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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.

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Re: DS: Is $10 enough? [#permalink]

28 Oct 2006, 18:37

anandsebastin wrote:

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.

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[#permalink]

29 Oct 2006, 19:26

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, 19:26

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

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

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

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