Jim has three times as many comic books as Charles. Charles has 2/3 as many books as Bob. Bob has 27 books. How many comic books
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are the Fibonacci numbers,
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, ...
Taken modulo 7, we get the sequence
0, 1, 1, 2, 3, 5, 1, 6, 0, 6, 6, 5, 4, 2, 6, 1, ...
that repeats with period 16 (this is known as the 7th Pisano period).
This is to say,
so that