Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 30 Aug 2016, 23:24

### 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

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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# Julie opened a lemonade stand and sold lemonade in two diff

Author Message
TAGS:

### Hide Tags

Intern
Joined: 07 Oct 2012
Posts: 14
Followers: 0

Kudos [?]: 8 [0], given: 8

### Show Tags

03 Nov 2012, 22:23
1
This post was
BOOKMARKED
00:00

Difficulty:

45% (medium)

Question Stats:

65% (02:17) correct 35% (00:52) wrong based on 158 sessions

### HideShow timer Statistics

Julie opened a lemonade stand and sold lemonade in two different sizes, a 52-cent (12oz) and a 58-cent (16oz) size. How many 52-cent (12oz) lemonade drinks did Julie sell?

(1) Julie sold a total of 9 lemonades
(2) The total value of the lemonade drinks Julie sold was $4.92 [Reveal] Spoiler: OA Director Status: Done with formalities.. and back.. Joined: 15 Sep 2012 Posts: 647 Location: India Concentration: Strategy, General Management Schools: Olin - Wash U - Class of 2015 WE: Information Technology (Computer Software) Followers: 43 Kudos [?]: 508 [2] , given: 23 Re: Julie opened a lemonade stand and sold lemonade in two diff [#permalink] ### Show Tags 03 Nov 2012, 22:37 2 This post received KUDOS tim415 wrote: Julie opened a lemonade stand and sold lemonade in two different sizes, a 52-cent (12oz) and a 58-cent (16oz) size. How many 52-cent (12oz) lemonade drinks did Julie sell? (1) Julie sold a total of 9 lemonades (2) The total value of the lemonade drinks Julie sold was$4.92

Cost of 12 oz drink =52 cents, lets assumte total number sold are N
Cost of 16 oz drink =58 cents, lets assumte total number sold are M

Statement 1: N+M =9
So it could be that N=1, M=8 or that N=2, M=7 etc. Clearly not sufficient.

Statement 2: N*0.52 + M*0.58 = 4.92
Or to simplify it: N*52 + M*58 = 492
N*26 + M*29 = 246
M*29 = 246-N*26
This is true only for one value of M and N, when M=4 and N=5. (Assuming number of drinks to be only integers and hoping Julie's stand is not a unique stand that sells 0.732, 0.981 drinks )

Ans B it is.
_________________

Lets Kudos!!!
Black Friday Debrief

Intern
Joined: 07 Oct 2012
Posts: 14
Followers: 0

Kudos [?]: 8 [0], given: 8

### Show Tags

03 Nov 2012, 23:09
Vips0000 wrote:
M*29 = 246-N*26
This is true only for one value of M and N, when M=4 and N=5. (Assuming number of drinks to be only integers and hoping Julie's stand is not a unique stand that sells 0.732, 0.981 drinks )

Thanks! Hmm.. I think I'm missing something pretty obvious here, how do you conclude that there is only one value for M and N and that it has to be M=4, N=5? When I look at the equation I see 1 equation and 2 unknowns so my knee jerk reaction is "not solvable!!"
Director
Status: Done with formalities.. and back..
Joined: 15 Sep 2012
Posts: 647
Location: India
Concentration: Strategy, General Management
Schools: Olin - Wash U - Class of 2015
WE: Information Technology (Computer Software)
Followers: 43

Kudos [?]: 508 [1] , given: 23

### Show Tags

03 Nov 2012, 23:15
1
KUDOS
tim415 wrote:
Vips0000 wrote:
M*29 = 246-N*26
This is true only for one value of M and N, when M=4 and N=5. (Assuming number of drinks to be only integers and hoping Julie's stand is not a unique stand that sells 0.732, 0.981 drinks )

Thanks! Hmm.. I think I'm missing something pretty obvious here, how do you conclude that there is only one value for M and N and that it has to be M=4, N=5? When I look at the equation I see 1 equation and 2 unknowns so my knee jerk reaction is "not solvable!!"

Well, when question or context gives you certain constraints to help you. (Or actually to trick you )

If we dont know that number of drinks got to be a non-negative integer then surely we can not solve 1 equation with 2 variables. But in this case that is one underlying constraint. So we can simply check if there is anything that satisifies the equation.

Remember this trick for any such context (Number of drinks/ animals/ trees/ votes/ persons etc)

Hope it helps
_________________

Lets Kudos!!!
Black Friday Debrief

Math Expert
Joined: 02 Sep 2009
Posts: 34514
Followers: 6308

Kudos [?]: 80021 [1] , given: 10024

### Show Tags

06 Nov 2012, 05:16
1
KUDOS
Expert's post
1
This post was
BOOKMARKED
tim415 wrote:
Julie opened a lemonade stand and sold lemonade in two different sizes, a 52-cent (12oz) and a 58-cent (16oz) size. How many 52-cent (12oz) lemonade drinks did Julie sell?

(1) Julie sold a total of 9 lemonades
(2) The total value of the lemonade drinks Julie sold was $4.92 Similar questions to practice: eunice-sold-several-cakes-if-each-cake-sold-for-either-109602.html martha-bought-several-pencils-if-each-pencil-was-either-a-100204.html a-rental-car-agency-purchases-fleet-vehicles-in-two-sizes-a-105682.html joe-bought-only-twenty-cent-stamps-and-thirty-cent-stamps-106212.html a-certain-fruit-stand-sold-apples-for-0-70-each-and-bananas-101966.html joanna-bought-only-0-15-stamps-and-0-29-stamps-how-many-101743.html common-gmat-trap-31x-25y-128578.html Hope it helps. _________________ Intern Status: Yes. It was I who let the dogs out. Joined: 03 Dec 2012 Posts: 42 Location: Canada H: B Concentration: General Management, Leadership GMAT Date: 08-31-2013 Followers: 1 Kudos [?]: 32 [0], given: 27 Re: Julie opened a lemonade stand and sold lemonade in two diff [#permalink] ### Show Tags 15 Jul 2013, 20:36 Vips0000 wrote: tim415 wrote: Vips0000 wrote: M*29 = 246-N*26 This is true only for one value of M and N, when M=4 and N=5. (Assuming number of drinks to be only integers and hoping Julie's stand is not a unique stand that sells 0.732, 0.981 drinks ) Thanks! Hmm.. I think I'm missing something pretty obvious here, how do you conclude that there is only one value for M and N and that it has to be M=4, N=5? When I look at the equation I see 1 equation and 2 unknowns so my knee jerk reaction is "not solvable!!" Well, when question or context gives you certain constraints to help you. (Or actually to trick you ) If we dont know that number of drinks got to be a non-negative integer then surely we can not solve 1 equation with 2 variables. But in this case that is one underlying constraint. So we can simply check if there is anything that satisifies the equation. Remember this trick for any such context (Number of drinks/ animals/ trees/ votes/ persons etc) Hope it helps Can you please explain the statement again ? I got the answer choice wrong. "If we dont know that number of drinks got to be a non-negative integer then surely we can not solve 1 equation with 2 variables. But in this case that is one underlying constraint. So we can simply check if there is anything that satisifies the equation." _________________ Yogi Bhajan: If you want to learn a thing, read that; if you want to know a thing, write that; if you want to master a thing, teach that. This message transmitted on 100% recycled electrons. Math Expert Joined: 02 Sep 2009 Posts: 34514 Followers: 6308 Kudos [?]: 80021 [0], given: 10024 Re: Julie opened a lemonade stand and sold lemonade in two diff [#permalink] ### Show Tags 15 Jul 2013, 22:41 Expert's post 1 This post was BOOKMARKED hb wrote: Vips0000 wrote: tim415 wrote: Thanks! Hmm.. I think I'm missing something pretty obvious here, how do you conclude that there is only one value for M and N and that it has to be M=4, N=5? When I look at the equation I see 1 equation and 2 unknowns so my knee jerk reaction is "not solvable!!" Well, when question or context gives you certain constraints to help you. (Or actually to trick you ) If we dont know that number of drinks got to be a non-negative integer then surely we can not solve 1 equation with 2 variables. But in this case that is one underlying constraint. So we can simply check if there is anything that satisifies the equation. Remember this trick for any such context (Number of drinks/ animals/ trees/ votes/ persons etc) Hope it helps Can you please explain the statement again ? I got the answer choice wrong. "If we dont know that number of drinks got to be a non-negative integer then surely we can not solve 1 equation with 2 variables. But in this case that is one underlying constraint. So we can simply check if there is anything that satisifies the equation." Check these posts: joanna-bought-only-0-15-stamps-and-0-29-stamps-how-many-101743.html common-gmat-trap-31x-25y-128578.html joe-bought-only-twenty-cent-stamps-and-thirty-cent-stamps-106212.html a-certain-fruit-stand-sold-apples-for-0-70-each-and-bananas-101966.html eunice-sold-several-cakes-if-each-cake-sold-for-either-109602.html martha-bought-several-pencils-if-each-pencil-was-either-a-100204.html a-rental-car-agency-purchases-fleet-vehicles-in-two-sizes-a-105682.html Hope it helps. _________________ Director Joined: 23 Jan 2013 Posts: 535 Schools: Cambridge'16 Followers: 1 Kudos [?]: 55 [0], given: 39 Re: Julie opened a lemonade stand and sold lemonade in two diff [#permalink] ### Show Tags 04 Nov 2014, 22:17 This is Value type of DS questions in which we should answer if there is only one value or more than one value. If only one possible value - sufficient If more than one value - insufficient We do not need to count this value as we do in PS In this case we should answer if it is only one possible value of 52-cent lemonade drinks' number S1. x+y=9, can be 1+8, 2+7, 3+6, 4+5..., so INSUFFICIENT S2. 52x+58y=492, we have two different prices per drink, so there is always unique number of X (non-negative integer), so SUFFICIENT B Director Joined: 18 Sep 2014 Posts: 971 Location: India Followers: 27 Kudos [?]: 427 [0], given: 59 Julie opened a lemonade stand and sold lemonade in two diff [#permalink] ### Show Tags 10 Jul 2015, 09:30 Vips0000 wrote: tim415 wrote: Julie opened a lemonade stand and sold lemonade in two different sizes, a 52-cent (12oz) and a 58-cent (16oz) size. How many 52-cent (12oz) lemonade drinks did Julie sell? (1) Julie sold a total of 9 lemonades (2) The total value of the lemonade drinks Julie sold was$4.92

Cost of 12 oz drink =52 cents, lets assumte total number sold are N
Cost of 16 oz drink =58 cents, lets assumte total number sold are M

Statement 1: N+M =9
So it could be that N=1, M=8 or that N=2, M=7 etc. Clearly not sufficient.

Statement 2: N*0.52 + M*0.58 = 4.92
Or to simplify it: N*52 + M*58 = 492
N*26 + M*29 = 246
M*29 = 246-N*26
This is true only for one value of M and N, when M=4 and N=5. (Assuming number of drinks to be only integers and hoping Julie's stand is not a unique stand that sells 0.732, 0.981 drinks )

Ans B it is.

It took a lot of time for me to arrive at the values.
I agree this is a DS question and solving till the last line is not required as in case of PS.
but still the equation looks quite complex that I felt it may not have a solution at all.
Is there is any way to solve the equation in less time.
_________________

The only time you can lose is when you give up. Try hard and you will suceed.
Thanks = Kudos. Kudos are appreciated

http://gmatclub.com/forum/rules-for-posting-in-verbal-gmat-forum-134642.html
When you post a question Pls. Provide its source & TAG your questions
Avoid posting from unreliable sources.

My posts
http://gmatclub.com/forum/beauty-of-coordinate-geometry-213760.html#p1649924
http://gmatclub.com/forum/calling-all-march-april-gmat-takers-who-want-to-cross-213154.html
http://gmatclub.com/forum/possessive-pronouns-200496.html
http://gmatclub.com/forum/double-negatives-206717.html
http://gmatclub.com/forum/the-greatest-integer-function-223595.html#p1721773

EMPOWERgmat Instructor
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 7224
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: 340 Q170 V170
Followers: 315

Kudos [?]: 2136 [1] , given: 162

### Show Tags

10 Jul 2015, 14:35
1
KUDOS
Expert's post
Hi Mechmeera,

In situations such as this (when you THINK that you need two variables and two unique equations to answer the given question), it helps to be on the lookout for "weird" numbers and/or low "totals." You also have to be ready to do some 'brute force' work to get the solution.

In this prompt, we're told that the two sizes cost 52 cents and 58 cents. Fact 2 tells us that the TOTAL value of glasses sold was $4.92. Since each size of lemonade sells for OVER 50 cents, and the total is LESS than$5, there must be FEWER than 10 lemonades sold - this leads to a relatively small number of possibilities.

While the work might seem a little tedious, you CAN list out the various 'multiples' of each size and look for an option that totals $4.92 For the 12-ounce lemonade: .52 1.04 1.56 2.08 2.60 3.12 3.64 4.16 4.68 For the 16-ounce lemonade: .58 1.16 1.74 2.32 2.90 3.48 4.06 4.64 How many ways are there to add a number from the first group to the number from the second group and get a TOTAL of$4.92 (hint: the units digit is a '2', so look for a pair of values that SUM to that units digit). You'll find that there's just one pairing. Thus, Fact 2 is SUFFICIENT.

GMAT assassins aren't born, they're made,
Rich
_________________

# Rich Cohen

Co-Founder & GMAT Assassin

# Special Offer: Save \$75 + GMAT Club Tests

60-point improvement guarantee
www.empowergmat.com/

***********************Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!***********************

Re: Julie opened a lemonade stand and sold lemonade in two diff   [#permalink] 10 Jul 2015, 14:35
Similar topics Replies Last post
Similar
Topics:
4 An ice-cream stand sells two sizes of cones, Generous and Colossal. Ho 7 14 Feb 2016, 11:09
1 Julie is selling lemonades in two sizes, small and large. Small lemona 2 23 Sep 2015, 22:51
18 Can the positive integer n be written as the sum of two diff 14 12 Feb 2014, 02:14
8 How many people are standing in line? 8 04 Oct 2010, 06:12
Was Lisa's salary at least twice as much as Julie's annual 6 05 Jul 2008, 11:30
Display posts from previous: Sort by

# Julie opened a lemonade stand and sold lemonade in two diff

 Powered by phpBB © phpBB Group and phpBB SEO Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.