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# At his 10th birthday party, a child received 30 candies. He

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Senior Manager
Joined: 26 Jul 2005
Posts: 313

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Location: Los Angeles
At his 10th birthday party, a child received 30 candies. He [#permalink]

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07 Nov 2005, 12:16
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At his 10th birthday party, a child received 30 candies. He was then forced by his parents to give away at least 30% of those candies to his playmates, one to each playmate. If more than a third of the playmates ate the candies that he gave them while the rest gave them back to the child, what is the greatest number of candies that the child could have ended up with?

(A) 23
(B) 24
(C) 26
(D) 27
(E) 29

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Director
Joined: 24 Oct 2005
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07 Nov 2005, 13:09
30 candies..
He gave away 30 percent = 9 candies to the playmates..
If more than the 3rd of them ate the candies so.. more than 3 ate the candies..and rest returned.. so.. to maximize his return, we need to minimize how many candies were eaten. more than 3rd = 3+1 = 4.. so 5 were returned.. now he has 30-9+5 = 26
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Senior Manager
Joined: 26 Jul 2005
Posts: 313

Kudos [?]: 18 [0], given: 0

Location: Los Angeles

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07 Nov 2005, 18:37
OA is C. Nice job!

The verbiage in this one can throw you off...

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07 Nov 2005, 18:37
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# At his 10th birthday party, a child received 30 candies. He

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