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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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Question Stats:
53% (02:30) correct
47% (02:14) wrong based on 74 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
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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.
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
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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:
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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