If a DS problem is constrained to POSITIVE INTEGERS, we should suspect that one equation with two variables might be sufficient to solve for both variables.
Statement 2:
29c + 17b = 179.
Options for 29c:
29, 58, 87, 116, 145, 174.
Options for 17b:
17, 34, 51, 68, 85, 102, 119, 136, 153, 170.
Only the combination in red will yield a sum of 179.
Thus, 29c = 145, implying that c=5.
SUFFICIENT.
Statement 1:
c ≥ 5.
Since c can be different values, INSUFFICIENT.
The correct answer is B.
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