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

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63% (02:16) correct 37% (00:50) wrong based on 100 sessions
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 Current Student Status: Done with formalities.. and back.. Joined: 15 Sep 2012 Posts: 648 Location: India Concentration: Strategy, General Management Schools: Olin - Wash U - Class of 2015 WE: Information Technology (Computer Software) Followers: 39 Kudos [?]: 409 [2] , given: 23 Re: Julie opened a lemonade stand and sold lemonade in two diff [#permalink] 03 Nov 2012, 21:37 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.
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Posts: 14
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Kudos [?]: 8 [0], given: 8

Re: Julie opened a lemonade stand and sold lemonade in two diff [#permalink]  03 Nov 2012, 22:09
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!!"
Current Student
Status: Done with formalities.. and back..
Joined: 15 Sep 2012
Posts: 648
Location: India
Concentration: Strategy, General Management
Schools: Olin - Wash U - Class of 2015
WE: Information Technology (Computer Software)
Followers: 39

Kudos [?]: 409 [1] , given: 23

Re: Julie opened a lemonade stand and sold lemonade in two diff [#permalink]  03 Nov 2012, 22:15
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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
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Re: Julie opened a lemonade stand and sold lemonade in two diff [#permalink]  06 Nov 2012, 04:16
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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: 44 Location: Canada H: B Concentration: General Management, Leadership GMAT Date: 08-31-2013 Followers: 1 Kudos [?]: 21 [0], given: 27 Re: Julie opened a lemonade stand and sold lemonade in two diff [#permalink] 15 Jul 2013, 19:36 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: 28183 Followers: 4449 Kudos [?]: 44806 [0], given: 6618 Re: Julie opened a lemonade stand and sold lemonade in two diff [#permalink] 15 Jul 2013, 21:41 Expert's post 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. _________________ Senior Manager Joined: 23 Jan 2013 Posts: 315 Schools: Cambridge'16 Followers: 2 Kudos [?]: 46 [0], given: 32 Re: Julie opened a lemonade stand and sold lemonade in two diff [#permalink] 04 Nov 2014, 21:17 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 Re: Julie opened a lemonade stand and sold lemonade in two diff [#permalink] 04 Nov 2014, 21:17 Similar topics Replies Last post Similar Topics: 9 Can the positive integer n be written as the sum of two diff 9 12 Feb 2014, 01:14 A fruit stand sells two kinds of fruit for$0.35 and \$0.45 3 04 Jun 2009, 10:38
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# Julie opened a lemonade stand and sold lemonade in two diff

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