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by rtaha2412 » Tue Jan 04, 2011 5:35 pm
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 before coming across a taffy candy?


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120
800
1281
1321
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by anshumishra » Tue Jan 04, 2011 5:50 pm
rtaha2412 wrote: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 before coming across a taffy candy?


61
120
800
1281
1321
30% -> dc
20% -> mc
20% -> taffy
5% -> caramel
20% -> cream

pieces per box = 20
So, number of pieces in 80 boxes = 80*20 = 1600

So, to make sure that the inspector finds taffy, you need to take into account the worst case scenario that he opened the taffy at last. This means, he opened the other boxes before taffy, where the other chocolates constitute 80% of the lot.

Hence, the number = 1600*0.8 + 1 = 1281

So, D
Thanks
Anshu

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by prachich1987 » Thu Jan 06, 2011 12:07 am
what's the OA?
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by bblast » Sun Jan 09, 2011 4:58 am
prachich1987 wrote:what's the OA?
oa is D prachich

the problem would have been trickier ansu if one of the options had

1280
Cheers !!

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by anshumishra » Sun Jan 09, 2011 7:41 am
bblast wrote:
prachich1987 wrote:what's the OA?
oa is D prachich

the problem would have been trickier ansu if one of the options had

1280
Agree on that. Be cautious :) . All the best for your test !
Thanks
Anshu

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by bblast » Sun Jan 09, 2011 8:04 am
anshumishra wrote:
bblast wrote:
prachich1987 wrote:what's the OA?
oa is D prachich

the problem would have been trickier ansu if one of the options had

1280
Agree on that. Be cautious :) . All the best for your test !
thanks mate
Cheers !!

Quant 47-Striving for 50
Verbal 34-Striving for 40

My gmat journey :
https://www.beatthegmat.com/710-bblast-s ... 90735.html
My take on the GMAT RC :
https://www.beatthegmat.com/ways-to-bbla ... 90808.html
How to prepare before your MBA:
https://www.youtube.com/watch?v=upz46D7 ... TWBZF14TKW_
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