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Peter went to the store to buy paint. Small cans cost $30

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Magoosh GMAT Instructor
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Peter went to the store to buy paint. Small cans cost $30 [#permalink] New post 19 Dec 2013, 10:03
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Difficulty:

  35% (medium)

Question Stats:

56% (01:58) correct 44% (00:44) wrong based on 59 sessions
Peter went to the store to buy paint. Small cans cost $30 and larger cans cost $80. How many small cans of paint did he buy?
Statement #1: Peter spent $220 on paint.
Statement #2: Peter bought four cans of paint in total.


Some problems on the GMAT Quant section cannot be solved with formulas or with algebra. For some problems, the GMAT makes you wrestle with the number properties themselves. For a discussion of difficult numerical reasoning questions, as well as the full solution to this question, see:
http://magoosh.com/gmat/2013/difficult- ... questions/

Mike :-)
[Reveal] Spoiler: OA

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Mike McGarry
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Joined: 26 Aug 2013
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Re: Peter went to the store to buy paint. Small cans cost $30 [#permalink] New post 23 Dec 2013, 14:45
Not really a 700 question but nevertheless an interesting one:

Choice A: If you buy one can at 80, than there are no way to reach the $220. If you buy zero also. And if you buy three than you are already at 240. Than you need two cans at $80 and two at $30. CORRECT

Choice B: no clear information

ANSWER A.

Hope it helps!
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Re: Peter went to the store to buy paint. Small cans cost $30 [#permalink] New post 07 Jan 2014, 09:09
mikemcgarry wrote:
Peter went to the store to buy paint. Small cans cost $30 and larger cans cost $80. How many small cans of paint did he buy?
Statement #1: Peter spent $220 on paint.
Statement #2: Peter bought four cans of paint in total.


Some problems on the GMAT Quant section cannot be solved with formulas or with algebra. For some problems, the GMAT makes you wrestle with the number properties themselves. For a discussion of difficult numerical reasoning questions, as well as the full solution to this question, see:
http://magoosh.com/gmat/2013/difficult- ... questions/

Mike :-)


Not really a 700 question.
Not really a Number Property question, this should be tagged as a Word Problem

Integer constraints are commonly tested on the GMAT

This problem is meant to deal with exactly that

I suggest always simplifying first

3x + 8y = 22

And then x = 22 - 8y / 3

Only 2 works here

Cheers!
J :)
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Magoosh GMAT Instructor
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Kudos [?]: 2028 [1] , given: 30

Re: Peter went to the store to buy paint. Small cans cost $30 [#permalink] New post 07 Jan 2014, 10:13
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jlgdr wrote:
Not really a 700 question.
Not really a Number Property question, this should be tagged as a Word Problem

Integer constraints are commonly tested on the GMAT

This problem is meant to deal with exactly that

I suggest always simplifying first

3x + 8y = 22

And then x = 22 - 8y / 3

Only 2 works here

Cheers!
J :)

Dear jlgdr,
By your statement "Only 2 works here", do you mean statement #2? In other words, do you mean to imply that (B) is the answer? If not, it's not clear to me what you think the answer is. Furthermore, I would argue that introducing algebra into this problem doesn't necessarily facilitate the solution, and for some students, may confuse them.
Mike :-)
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Magoosh Test Prep

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Re: Peter went to the store to buy paint. Small cans cost $30   [#permalink] 07 Jan 2014, 10:13
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Peter went to the store to buy paint. Small cans cost $30

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