Step 1 :Translate the problem into two equations based on the given information: \(C + O = 14\) and \(12C + 11O = 163\).
Step 2 :Solve this system of equations to find the values of \(C\) and \(O\).
Step 3 :The solution is \(C = 9\) and \(O = 5\).
Step 4 :Final Answer: Marissa bought \(\boxed{9}\) boxes of chocolates and \(\boxed{5}\) boxes of ornaments.