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At a certain store, each notepad costs x dollars and each [#permalink]
14 Apr 2008, 23:29

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Difficulty:

75% (hard)

Question Stats:

48% (02:28) correct
52% (02:02) wrong based on 44 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?

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

Re: At a certain store, each notepad costs x dollars and each [#permalink]
15 Apr 2008, 07:32

1

This post received 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.

Re: At a certain store, each notepad costs x dollars and each [#permalink]
03 Jan 2015, 10:00

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Re: At a certain store, each notepad costs x dollars and each [#permalink]
05 Jan 2015, 04:19

Expert's post

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.

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