Competition problem — Number theory

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Number theory Difficulty 5.5 AIME, harder Find the answer

6. At a clambake, the total cost of a lobster dinner is $\$ 11$ and of a chicken dinner is $\$ 8$ . What can you conclude if the total bill is
a) $\$ 777$
b) $\$ 96$
c) $\$ 69$ ?

Your answer

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Solution

None

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Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic and difficulty added by this site.