NEW HERE? LEARN MORE
closeclose
Last visit was: 26 Apr 2024, 09:05 It is currently 26 Apr 2024, 09:05
Decision Tracker
My Rewards
New posts
New comers' posts

Close
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

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

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
G
mikemcgarry
Magoosh GMAT Instructor
Joined: 28 Dec 2011
Posts: 4452
Own Kudos [?]: 28574 [11]
Given Kudos: 130
Peter went to the store to buy paint. Small cans cost $30 [#permalink] New post   19 Dec 2013, 11:03
3
Kudos
8
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

35% (medium)

Question Stats:

68% (01:30) correct 32% (01:26) wrong based on 425 sessions
Hide Show timer Statistics
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:
https://magoosh.com/gmat/2013/difficult- ... questions/

Mike :-)
ShowHide Answer
Official Answer
A
User avatar
B
Paris75
Manager
Manager
Joined: 26 Aug 2013
Status:Student
Posts: 132
Own Kudos [?]: 135 [0]
Given Kudos: 401
Location: France
Concentration: Finance, General Management
Schools: EMLYON FT'16
GMAT 1: 650 Q47 V32
GPA: 3.44
Send PM
Re: Peter went to the store to buy paint. Small cans cost $30 [#permalink] New post   23 Dec 2013, 15:45
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!
User avatar
jlgdr
VP
VP
Joined: 06 Sep 2013
Posts: 1345
Own Kudos [?]: 2391 [0]
Given Kudos: 355
Concentration: Finance
Schools: Wharton '17 (A) HBS '17 (WA$)
Send PM
GMAT ToolKit User
Re: Peter went to the store to buy paint. Small cans cost $30 [#permalink] New post   07 Jan 2014, 10:09
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:
https://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 :)
User avatar
G
mikemcgarry
Magoosh GMAT Instructor
Joined: 28 Dec 2011
Posts: 4452
Own Kudos [?]: 28574 [1]
Given Kudos: 130
Re: Peter went to the store to buy paint. Small cans cost $30 [#permalink] New post   07 Jan 2014, 11:13
1
Kudos
Expert Reply
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 :-)
User avatar
L
chetan2u
RC & DI Moderator
Joined: 02 Aug 2009
Status:Math and DI Expert
Posts: 11181
Own Kudos [?]: 31952 [0]
Given Kudos: 291
Send PM
Reviews Badge
Re: Peter went to the store to buy paint. Small cans cost $30 and larger [#permalink] New post   19 Apr 2017, 19:42
Expert Reply
anupam87 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.


Hi

Firstly I am sure this Q must have been discussed earlier too.

Let's see the statements..
I. It gives us equation 30s+80b=220...
ONLY possibility is s=b=2
Sufficient

II. 4 cans can be any combination..
All 4 big. All 4 small. 1&3 etc
Insufficient

A
avatar
Birla
Intern
Intern
Joined: 18 Apr 2017
Posts: 1
Own Kudos [?]: 0 [0]
Given Kudos: 3
Send PM
Re: Peter went to the store to buy paint. Small cans cost $30 and larger [#permalink] New post   19 Apr 2017, 19:57
(A)
Statement 1 - total spending 220$
We know that number of cans will be a natural number.
Let x be number of small cans and y be number of large cans
If y=1 then 30x=140 => no solution
If y=2 then 30x=60=> x=2
Then y cannot be 3 otherwise sum will be greater than 220.
Statement 1 is sufficient.

Statement 2 : Total 4 cans
Possible cases
(0,4)
(1,3)
(2,2)
(3,1)
(4,0)

Only statement 1 is sufficient
(A)
User avatar
L
adkikani
IIM School Moderator
Joined: 04 Sep 2016
Posts: 1261
Own Kudos [?]: 1240 [0]
Given Kudos: 1207
Location: India
WE:Engineering (Other)
Send PM
Re: Peter went to the store to buy paint. Small cans cost $30 [#permalink] New post   14 Dec 2017, 18:41
chetan2u

Quote:
Let's see the statements..
I. It gives us equation 30s+80b=220...
ONLY possibility is s=b=2
Sufficient


The moment I see two variables I immediately concluded that I need a second linear equation.
How to avoid this trap?
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92945
Own Kudos [?]: 619192 [0]
Given Kudos: 81609
Send PM
CAT Tests Forum Quiz Mode
Re: Peter went to the store to buy paint. Small cans cost $30 [#permalink] New post   14 Dec 2017, 20:52
Expert Reply
adkikani wrote:
chetan2u

Quote:
Let's see the statements..
I. It gives us equation 30s+80b=220...
ONLY possibility is s=b=2
Sufficient


The moment I see two variables I immediately concluded that I need a second linear equation.
How to avoid this trap?


Generally such kind of linear equations (ax + by = c) have infinitely many solutions for x and y, and we cannot get single numerical values for the variables. But, here in 30x + 80y = 220, x and y must represent the # of cans, so they must be non-negative integers and in this case 30x + 80y = 220 is no longer simple linear equation, it's a Diophantine equation (equations whose solutions must be integers only) and for such kind on equations there might be only one combination of x and y possible to satisfy it. When you encounter such kind of problems you must always check by trial and error whether it's the case.

For more, check C-Trap Question Collection from our Special Questions's Directory.
GMAT Club Bot
gmatclubot
Re: Peter went to the store to buy paint. Small cans cost $30 [#permalink]
14 Dec 2017, 20:52
Moderator:
Bunuel
Math Expert
92945 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions