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# Eddie purchased baked goods for his brunch. The store sold chocolate

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Math Expert
Joined: 02 Sep 2009
Posts: 51227
Eddie purchased baked goods for his brunch. The store sold chocolate  [#permalink]

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23 Feb 2017, 11:09
00:00

Difficulty:

25% (medium)

Question Stats:

81% (01:51) correct 19% (02:08) wrong based on 203 sessions

Eddie purchased baked goods for his brunch. The store sold chocolate eclairs at $1.99 each and glazed donuts in boxes of one dozen for$13.99. If Eddie spent $27.92, how many chocolate eclairs did Eddie purchase? A. 7 B. 8 C. 12 D. 13 E. 14 _________________ Manager Joined: 31 Jan 2017 Posts: 58 Location: India Concentration: Strategy, Leadership GMAT 1: 680 Q49 V34 GPA: 4 WE: Project Management (Energy and Utilities) Re: Eddie purchased baked goods for his brunch. The store sold chocolate [#permalink] ### Show Tags 23 Feb 2017, 12:23 1 Answer : A Given, 1.99C + 13.99D = 27.92 or, C + (1399/199) *D = 2792/199 or C + 7D = 14 (divisions done with approximation) Now C= 7 and D=1 are preferred choices as both are presumably purchased. _________________ __________________________________ Kindly press "+1 Kudos" if the post helped Senior Manager Joined: 19 Apr 2016 Posts: 274 Location: India GMAT 1: 570 Q48 V22 GMAT 2: 640 Q49 V28 GPA: 3.5 WE: Web Development (Computer Software) Re: Eddie purchased baked goods for his brunch. The store sold chocolate [#permalink] ### Show Tags 23 Feb 2017, 20:12 1 Bunuel wrote: Eddie purchased baked goods for his brunch. The store sold chocolate eclairs at$1.99 each and glazed donuts in boxes of one dozen for $13.99. If Eddie spent$27.92, how many chocolate eclairs did Eddie purchase?

A. 7
B. 8
C. 12
D. 13
E. 14

Eddie cannot buy more than 1 dozen of glazed donuts, since 2*13.99 >27.92
so Amount left with Eddie after buying 1 dozen of glazed donuts = 27.92 - 13.99 = 13.93
Number of chocolate eclairs Eddie purchased = 13.93/1.99 = 14/2 (approximately) = 7

Hence option A is correct
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Manager
Joined: 08 Sep 2015
Posts: 64
Re: Eddie purchased baked goods for his brunch. The store sold chocolate  [#permalink]

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21 Mar 2017, 16:01
Since $1.99 is 1 cent below$2, let's check the maximum quantity chocolate eclairs that Eddie can buy. $28/2 = 14 => but we know that$1.99 is 1 cent below $2, so 14 x 1 cent = 14 =>$28 - 14 cents = $27.86 => therefore Eddie must have bought at least one box of one dozen for$13.99
therefore, $27.92-$13.99 = $13.93$13.93 is 7 cents below $14 => Eddie bought 7 chocolate eclairs Board of Directors Status: QA & VA Forum Moderator Joined: 11 Jun 2011 Posts: 4277 Location: India GPA: 3.5 WE: Business Development (Commercial Banking) Re: Eddie purchased baked goods for his brunch. The store sold chocolate [#permalink] ### Show Tags 22 Mar 2017, 06:31 1 Bunuel wrote: Eddie purchased baked goods for his brunch. The store sold chocolate eclairs at$1.99 each and glazed donuts in boxes of one dozen for $13.99. If Eddie spent$27.92, how many chocolate eclairs did Eddie purchase?

A. 7
B. 8
C. 12
D. 13
E. 14

$$1.99*c + 13.99*d = 27.92$$

13.99 * 2 = 27.98

So, Eddie purchased a maximum of 1 box of donut..

Now, $$1.99*c + 13.99*1 = 27.92$$

Or, $$1.99*c = 27.92 - 13.99$$

Or, $$c = 7$$

Thus, answer must be (A) 7
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Board of Directors
Joined: 17 Jul 2014
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Re: Eddie purchased baked goods for his brunch. The store sold chocolate  [#permalink]

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21 Apr 2017, 14:53
Bunuel wrote:
Eddie purchased baked goods for his brunch. The store sold chocolate eclairs at $1.99 each and glazed donuts in boxes of one dozen for$13.99. If Eddie spent $27.92, how many chocolate eclairs did Eddie purchase? A. 7 B. 8 C. 12 D. 13 E. 14 it clearly couldn't buy 2 boxes of donuts...as 2 boxes cost 27.98 so...27.92 - 13.99 = 13.93. if eclairs cost 2$, then we need 12$to buy 6, and 14 to buy 7. since we approximated up by 0.01 each eclair, 14.00-0.07 = 13.93 = exactly what we need. therefore, he bought 7 eclairs for sure! Manager Joined: 06 Dec 2016 Posts: 249 Eddie purchased baked goods for his brunch. The store sold chocolate [#permalink] ### Show Tags 21 Apr 2017, 20:12 Easiest way to solve this problem is process elimination. Let's start with A A is 7 Let a represent chocolate Let b represent donuts 1.99a + 13.99b = 27.92 (2a - 0.01a) + (14b - 0.01b) = 27.92 (2(7) - 0.01(7)) + (14b - 0.01b) = 27.92 (14 - 0.07) + (14b - 0.01b) = 27.92 13.93 + (14b - 0.01b) = 27.92 b has to be 1 to get 27.92 PROOF 27.92 - 13.93 = 13.99 Answer is A Director Joined: 12 Nov 2016 Posts: 733 Location: United States Schools: Yale '18 GMAT 1: 650 Q43 V37 GRE 1: Q157 V158 GPA: 2.66 Re: Eddie purchased baked goods for his brunch. The store sold chocolate [#permalink] ### Show Tags 22 Apr 2017, 23:14 Bunuel wrote: Eddie purchased baked goods for his brunch. The store sold chocolate eclairs at$1.99 each and glazed donuts in boxes of one dozen for $13.99. If Eddie spent$27.92, how many chocolate eclairs did Eddie purchase?

A. 7
B. 8
C. 12
D. 13
E. 14

We know that Eddie cannot buy more than 1 glazed donut because that exceeds the sum of 27.92

The shortcut for solving this problem is plug in a value and use method below

7($2.00) - 7(.01) +$13.99

Sorry maybe this is a stupid question, but how do we know that Eddie purchased both donuts and eclairs for $27.92? from the question info we know that store sells two types of products, and that Eddie spent some money there. We know nothing about his preferences to buy both donuts and eclairs for his brunch. please correct me if i'm wrong.. Director Joined: 13 Mar 2017 Posts: 670 Location: India Concentration: General Management, Entrepreneurship GPA: 3.8 WE: Engineering (Energy and Utilities) Re: Eddie purchased baked goods for his brunch. The store sold chocolate [#permalink] ### Show Tags 12 May 2017, 03:13 1 Bunuel wrote: Eddie purchased baked goods for his brunch. The store sold chocolate eclairs at$1.99 each and glazed donuts in boxes of one dozen for $13.99. If Eddie spent$27.92, how many chocolate eclairs did Eddie purchase?

A. 7
B. 8
C. 12
D. 13
E. 14

13.99 x 2 = 27.98 > 27.92
So Eddie can't buy 2 boxes of glazed donuts..
hence Eddie must have bought 1 glazed donuts.. Remaining value is used for chocolate eclairs & is equal to 27.92 - 13.99 = 13.93

The no. of chocolates Eddie purchased = 13.93 / 1.99 = 7

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Re: Eddie purchased baked goods for his brunch. The store sold chocolate  [#permalink]

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12 May 2018, 23:16
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Re: Eddie purchased baked goods for his brunch. The store sold chocolate &nbs [#permalink] 12 May 2018, 23:16
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