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M05-25

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M05-25 [#permalink]

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New post 15 Sep 2014, 23:25
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Question Stats:

70% (01:57) correct 30% (02:15) wrong based on 114 sessions

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A candy factory manufactures various types of candy: 30% are dark chocolate, 25% are milk chocolate, 20% taffy, 5% caramel, and the rest are cream. Due to a hardware failure, all of the candy are mixed and dispatched into boxes holding 20 individually wrapped pieces of candy each. If 80 boxes are packed before the failure is caught, what is the maximum number of candy pieces a quality control inspector can open to get a taffy candy?

A. 61
B. 120
C. 800
D. 1281
E. 1321
[Reveal] Spoiler: OA

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Kudos [?]: 139200 [0], given: 12779

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Joined: 02 Sep 2009
Posts: 43296

Kudos [?]: 139200 [0], given: 12779

Re M05-25 [#permalink]

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New post 15 Sep 2014, 23:25
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Official Solution:

A candy factory manufactures various types of candy: 30% are dark chocolate, 25% are milk chocolate, 20% taffy, 5% caramel, and the rest are cream. Due to a hardware failure, all of the candy are mixed and dispatched into boxes holding 20 individually wrapped pieces of candy each. If 80 boxes are packed before the failure is caught, what is the maximum number of candy pieces a quality control inspector can open to get a taffy candy?

A. 61
B. 120
C. 800
D. 1281
E. 1321


There are total of \(20*80=1,600\) candy pieces in 80 boxes. The worst case scenario would be if the inspector opens only candy which are not taffy. Since there are \(20\%*1,600=320\) taffy then there are \(1,600-320=1,280\) candy pieces, which are not taffy, so the maximum number of candy pieces the inspector needs to open to get a taffy candy is 1,281.


Answer: D
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re: M05-25 [#permalink]

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New post 15 Dec 2017, 02:21
The question wording is a bit vague. For the logic used to solve this problem, shouldn't the question have stated "what is the maximum number of candy pieces a quality control inspector can open before he gets a taffy candy?".

Or, it should state, "gets only one taffy candy".


Otherwise, if it's just a case of getting "a" taffy candy, he can open all the 1600 candies, and still satisfy the condition. He can open 1281 and get a taffy candy or he can open 1600 and get a taffy candy for sure.

Kudos [?]: 2 [0], given: 34

Re: M05-25   [#permalink] 15 Dec 2017, 02:21
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