At the bakery Lew spent a total of 6$for one kind of : GMAT Data Sufficiency (DS) Check GMAT Club App Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack  It is currently 07 Dec 2016, 17:03 ### GMAT Club Daily Prep #### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email. Customized for You we will pick new questions that match your level based on your Timer History Track Your Progress every week, we’ll send you an estimated GMAT score based on your performance Practice Pays we will pick new questions that match your level based on your Timer History #### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here. ### Request Expert Reply # Events & Promotions ###### Events & Promotions in June Open Detailed Calendar # At the bakery Lew spent a total of 6$ for one kind of

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At the bakery Lew spent a total of 6$for one kind of [#permalink] ### Show Tags 15 Apr 2012, 21:29 3 This post was BOOKMARKED 00:00 Difficulty: 75% (hard) Question Stats: 53% (02:47) correct 47% (01:30) wrong based on 101 sessions ### HideShow timer Statistics At the bakery Lew spent a total of 6$ for one kind of cupcake and one kind of doughnut. How many donuts did he buy?

(1) Price of 2 doughty was $.10 less than 3 cupcakes (2) Average price of 1 doughnut and 1 cupcake was$.035
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Re: Word problem: doughnut [#permalink]

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15 Apr 2012, 21:56
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Smita04 wrote:
At the bakery lew spent a total of 6$for one kind of cupcake and one kind of doughnut. How many donuts did he buy? 1) price of 2 doughty was$.10 less than 3 cupcakes
2) average price of 1 doughnut and 1 cupcake was $.035 let cupcakes purchased= x doughnut purchased= y price of one cupcake and doughnut be c and d respectively, then cx+dy = 6 we need to find y. statement 1) 2d= 3c - 0.1 INsufficient statement 2) (c+d)/2 = 0.035 c+d = 0.035*2 Insufficient 1) and 2) we can have c and d but we have no info about x and y. Insufficient. hence E Hope this helps..!! _________________ Practice Practice and practice...!! If my reply /analysis is helpful-->please press KUDOS If there's a loophole in my analysis--> suggest measures to make it airtight. Current Student Joined: 06 Sep 2013 Posts: 2035 Concentration: Finance GMAT 1: 770 Q0 V Followers: 60 Kudos [?]: 582 [0], given: 355 Re: Word problem: doughnut [#permalink] ### Show Tags 05 Feb 2014, 13:41 kraizada84 wrote: Smita04 wrote: At the bakery lew spent a total of 6$ for one kind of cupcake and one kind of doughnut. How many donuts did he buy?
1) price of 2 doughty was $.10 less than 3 cupcakes 2) average price of 1 doughnut and 1 cupcake was$.035

let
cupcakes purchased= x
doughnut purchased= y

price of one cupcake and doughnut be c and d respectively,
then

cx+dy = 6

we need to find y.

statement 1) 2d= 3c - 0.1
INsufficient

statement 2) (c+d)/2 = 0.035
c+d = 0.035*2

Insufficient

1) and 2)

we can have c and d but we have no info about x and y.

Insufficient.

hence E

Hope this helps..!!

But I guess still one has to prove whether 'x' and 'y' could be found using the equation Dx + Cy, remember that x,y standing for the number of Donuts and Cupcakes have to be integers and must satisfy Dx + Cy = 6. Therefore, the next question is, how can we do this in the most efficient way?

Experts, any thoughts?
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Re: At the bakery Lew spent a total of 6$for one kind of [#permalink] ### Show Tags 05 Feb 2014, 21:54 1 This post received KUDOS Expert's post 1 This post was BOOKMARKED Smita04 wrote: At the bakery Lew spent a total of 6$ for one kind of cupcake and one kind of doughnut. How many donuts did he buy?

(1) Price of 2 doughty was $.10 less than 3 cupcakes (2) Average price of 1 doughnut and 1 cupcake was$.035

There is an error in this question.
"Average price of 1 doughnut and 1 cupcake was $0.35" It doesn't make sense if the average price is 3.5 cents. The numbers don't work. It must be 35 cents. Convert everything to cents. Using both statements together, you get 3C - 2D = 10 (C is the price of cupcakes and D is the price of doughnuts) C + D = 35*2 Solving them simultaneously, you get C = 30, D = 40. If Nc is number of cupcakes and Nd is number of doughnuts, 30*Nc + 40*Nd = 600 3*Nc + 4*Nd = 60 The first solution I get is Nd = 3, Nc = 16 We will get many more solutions such as Nd = 6, Nc = 12. Also, Nd = 9, Nc = 8 etc Hence both statements together are not sufficient. Answer (E) Note that in this equation: 3*Nc + 4*Nd = 60, if instead of 60, the total price were say 18, there would have been only one solution. 3*Nc + 4*Nd = 18 Nc = 2, Nd = 3 Other possible solutions will be Nc = 6, Nd = 0; Or Nc = -2, Nd = 6 etc Since we cannot buy negative or 0 number of items (she spends money on doughnuts AND cupcakes so she must have bought at least one of each), no other solution works. Refer to this post for further details on this method: http://www.veritasprep.com/blog/2011/06 ... -of-thumb/ _________________ Karishma Veritas Prep | GMAT Instructor My Blog Get started with Veritas Prep GMAT On Demand for$199

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