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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 [#permalink] New post 14 Apr 2008, 23:29
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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
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Re: At a certain store, each notepad costs x dollars and each [#permalink] New post 15 Apr 2008, 05:19
Expert's post
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.
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Re: At a certain store, each notepad costs x dollars and each [#permalink] New post 15 Apr 2008, 05:26
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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.
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Re: At a certain store, each notepad costs x dollars and each [#permalink] New post 15 Apr 2008, 07:18
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
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Re: At a certain store, each notepad costs x dollars and each [#permalink] New post 15 Apr 2008, 07:32
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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.

So, answer is E.
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Re: At a certain store, each notepad costs x dollars and each [#permalink] New post 23 Apr 2011, 07:31
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?
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Re: At a certain store, each notepad costs x dollars and each [#permalink] New post 23 Apr 2011, 07:39
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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?
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Re: At a certain store, each notepad costs x dollars and each [#permalink] New post 03 Jan 2015, 10:00
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Re: At a certain store, each notepad costs x dollars and each [#permalink] New post 03 Jan 2015, 15:56
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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Re: At a certain store, each notepad costs x dollars and each [#permalink] New post 05 Jan 2015, 04:19
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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.

Answer: E.

OPEN DISCUSSION OF THIS QUESTION IS HERE: at-a-certain-bookstore-each-notepad-costs-x-dollars-and-104100.html
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Re: At a certain store, each notepad costs x dollars and each   [#permalink] 05 Jan 2015, 04:19
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