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Min/Max Problems, Overlapping Sets

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by swerve » Mon Oct 05, 2020 11:31 am

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Recently Mary gave a birthday party for her daughter at which she served both chocolate and strawberry ice cream. There were 8 boys who had chocolate ice cream, and nine girls who had strawberry. Everybody there had some ice cream, but nobody tried both. What is the maximum possible number of girls who had some chocolate ice cream?

1) Exactly thirty children attended the party
2) Fewer than half the children had strawberry ice cream

The OA is A

Source: Manhattan Prep
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