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Did'nt see this discussion in the master thread. I don't know how to link this discussion to the master thread could someone please do so?
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, how many pieces of candy will a quality control inspector have to unwrap to find at least one piece of taffy?
(C) 2008 GMAT Club - m05#25
1) 61 2) 120 3) 800 4) 1281 -- Correct 5) 1321
While I do understand the the explanation, I think the question should have been worded better -- it is not airtight in its current version.
The question should have said "what is the greatest number of candies or pieces of candy that a quality control inspector can unwrap before he/she finds at least one piece of taffy?" The answer, then, will definitely be 1281.
The question, currently posed, brings in the possibility that the inspector can open the first box and find a taffy. The answer then will not be 1281.
Is this understanding correct? If not, can anyone please help me understand this problem better?