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# M05-25

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Math Expert
Joined: 02 Sep 2009
Posts: 47920

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16 Sep 2014, 00:25
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Difficulty:

55% (hard)

Question Stats:

68% (01:58) correct 32% (02:11) wrong based on 120 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

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Math Expert
Joined: 02 Sep 2009
Posts: 47920

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16 Sep 2014, 00:25
1
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.

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Joined: 02 Jun 2016
Posts: 36
Location: India
GMAT 1: 660 Q44 V36
GMAT 2: 680 Q46 V38
GPA: 3.77
WE: General Management (Computer Software)

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15 Dec 2017, 03:21
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.
Intern
Joined: 20 Dec 2017
Posts: 34

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03 Jul 2018, 22:18
I agree, I think this question is very confusing.

"what is the maximum number of candy pieces a quality control inspector can open to get a taffy candy?"

I interpreted the question as how many taffy candies are there in the 80 boxes. Since there are 320 taffy candies in the 1600 candies, the inspector can open a maximum of 320 candies to get a taffy candy.
Re: M05-25 &nbs [#permalink] 03 Jul 2018, 22:18
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# M05-25

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