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A certain bakery baked a batch of 500 cookies one day. Of those, 320

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A certain bakery baked a batch of 500 cookies one day. Of those, 320 [#permalink]

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New post 06 Apr 2016, 00:17
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Question Stats:

45% (02:00) correct 55% (02:11) wrong based on 91 sessions

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A certain bakery baked a batch of 500 cookies one day. Of those, 320 contained nuts, 230 contained chocolate chips, and 85 contained neither nuts nor chocolate chips. What is the fewest possible number of cookies with both chocolate chips and nuts that would need to be added to that batch so that cookies with both nuts and chocolate chips represented more than 3/5 of all the cookies in the batch?

A. 166
B. 275
C. 413
D. 438
E. 511
[Reveal] Spoiler: OA

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Re: A certain bakery baked a batch of 500 cookies one day. Of those, 320 [#permalink]

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New post 06 Apr 2016, 00:47
Cookies which have both nuts and chocolate chips = 135
Let fewest possible number of cookies with both chocolate chips and nuts that would need to be added to that
batch so that cookies with both nuts and chocolate chips represented more than 3/5 of all the cookies in the batch = x

(135+x)/(500+x) = 6/10
=>1350 + 10x = 3000 + 6x
=> 4x = 1650
=> x = 412.5
Therefore x = 413

Answer C
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Re: A certain bakery baked a batch of 500 cookies one day. Of those, 320 [#permalink]

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New post 27 Aug 2017, 19:00
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Re: A certain bakery baked a batch of 500 cookies one day. Of those, 320   [#permalink] 27 Aug 2017, 19:00
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