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

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Director
Joined: 03 Sep 2006
Posts: 865

Kudos [?]: 1069 [1], given: 33

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

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15 Apr 2008, 00:29
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Difficulty:

85% (hard)

Question Stats:

49% (01:32) correct 51% (02:14) wrong based on 108 sessions

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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.

OPEN DISCUSSION OF THIS QUESTION IS HERE: at-a-certain-bookstore-each-notepad-costs-x-dollars-and-104100.html
[Reveal] Spoiler: OA

Kudos [?]: 1069 [1], given: 33

CEO
Joined: 17 Nov 2007
Posts: 3584

Kudos [?]: 4584 [0], given: 360

Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40
Re: At a certain store, each notepad costs x dollars and each [#permalink]

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15 Apr 2008, 06:19
E

1 and 2 conditions state the same: each notepad costs less than $1 A) Let a notepad costs 0.00001$ and a marker costs 0.00001$. It this case we can buy 4 notepads and 4 markers instead. B) Let a notepad costs 0.00001$ and a marker costs 9.9/3=3.3$. It this case we cannot buy 4 notepads and 4 markers instead. _________________ HOT! GMAT TOOLKIT 2 (iOS) / GMAT TOOLKIT (Android) - The OFFICIAL GMAT CLUB PREP APP, a must-have app especially if you aim at 700+ | PrepGame Kudos [?]: 4584 [0], given: 360 Current Student Joined: 27 Mar 2008 Posts: 415 Kudos [?]: 45 [1], given: 1 Schools: Kellogg Class of 2011 Re: At a certain store, each notepad costs x dollars and each [#permalink] ### Show Tags 15 Apr 2008, 06:26 1 This post received KUDOS I would think the answer is E. You are given: 10 > 5N + 3M The question is: 10>= 4N + 4M A: Assume N =$0.90, max (M) = 5.5/3 = $1.83 4N + 4M = 3.6+ 7.3 which is greater than 10 N = 1, M = 1 4N + 4M = 8 which is less than 10 Insuff B: Similar to A. max(n) =$0.91
This will also produce values greater than or less than 10.

Kudos [?]: 45 [1], given: 1

SVP
Joined: 28 Dec 2005
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Kudos [?]: 179 [0], given: 2

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

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15 Apr 2008, 08:18
so where am i going wrong here ; im getting C

I rephrase the question to mean that 5x+3y<=10, and question asks if 4x+4y<=10, i.e. is x+y<=2.50 ?

statement 1 tells me just that y<=1, no info about other price, so insuff.

statement 2 tells me that x<=0.91, no info about other price, so insuff.

together, the max price for x+y is 0.91 and 0.99, which sums to 1.90, and that is less than 2.5. so it should be sufficient

Kudos [?]: 179 [0], given: 2

Current Student
Joined: 27 Mar 2008
Posts: 415

Kudos [?]: 45 [1], given: 1

Schools: Kellogg Class of 2011
Re: At a certain store, each notepad costs x dollars and each [#permalink]

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15 Apr 2008, 08:32
1
KUDOS
Both statement 1 and statement 2 tell you about the max price of x (notebook).

Neither one of them gives any indication around the max price for y (marker). As a result, even when you use both statements together, you cannot determine the max price for the marker. That's where you are making a mistake.

If the marker is $1, then it true. If the marker is$1.83 as I showed in my example, then false.

Kudos [?]: 45 [1], given: 1

Manager
Joined: 11 Dec 2010
Posts: 115

Kudos [?]: 46 [0], given: 50

WE: Consulting (Consulting)
Re: At a certain store, each notepad costs x dollars and each [#permalink]

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23 Apr 2011, 08:31

if $10 is enough to buy 5 notepads and 3 markers - means that it can be anything less than 10 (is this interpretation right) Can anyone confirm this interpretation? Kudos [?]: 46 [0], given: 50 Director Status: Impossible is not a fact. It's an opinion. It's a dare. Impossible is nothing. Affiliations: University of Chicago Booth School of Business Joined: 03 Feb 2011 Posts: 871 Kudos [?]: 396 [1], given: 123 Re: At a certain store, each notepad costs x dollars and each [#permalink] ### Show Tags 23 Apr 2011, 08:39 1 This post received KUDOS You can assume that you spent$0 on notepads and $0 on markers. And yet the premises are not invalidated . Big yes to your interpretation ! gmatprep2011 wrote: answer e if$10 is enough to buy 5 notepads and 3 markers - means that it can be anything less than 10 (is this interpretation right)

Can anyone confirm this interpretation?

Kudos [?]: 396 [1], given: 123

GMAT Club Legend
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Re: At a certain store, each notepad costs x dollars and each [#permalink]

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03 Jan 2015, 11:00
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Manager
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Re: At a certain store, each notepad costs x dollars and each [#permalink]

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03 Jan 2015, 16:56
Bunuel: is it appropriate to make two inequalities and them together here?

Stem says 10<=5x+3y
Is 10<=4x+4y?

Is 20<=9x + 7y?

Is this approach okay?

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Math Expert
Joined: 02 Sep 2009
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Kudos [?]: 128901 [1], given: 12183

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

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05 Jan 2015, 05:19
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Expert's post
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LM 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.

Given: $$5x+3y\leq{10}$$. Question: is $$4x+4y\leq{10}$$?

Note that both statements are telling us basically the same thing:

(1) $$x<1$$;

(2) $$11x<10$$ --> $$x<\frac{10}{11}\approx{0.9}$$;

Now, if both notepad and marker cost very cheap then the answer would be YES but if notepad costs $0.1 and marker costs$3 then the answer would be NO. Not sufficient.

OPEN DISCUSSION OF THIS QUESTION IS HERE: at-a-certain-bookstore-each-notepad-costs-x-dollars-and-104100.html
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Kudos [?]: 128901 [1], given: 12183

Re: At a certain store, each notepad costs x dollars and each   [#permalink] 05 Jan 2015, 05:19
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