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Bobby Smithers will celebrate his 9th birthday next week with a party at his house after school.

He wants to invite as many of the kids in his class as possible.

There is a new rule for birthday parties in the Smithers' suburb: No child is allowed to eat more than

1/16th of a birthday cake in one day.

Mrs. Smithers, Bobby's mother, is planning to buy 1/2 of a flat sheet-cake for the party.

If Bobby and each of his guests is to eat the largest piece of cake allowed by local ordinance,

what's the maximum number of guests that can be invited to the party ?

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Hidden answer:

Prime number, square root of 49, number of days in Genesis account of Creation,

number of Seas, Christmas swans a-swimming, days in a week.

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