Use the main ratio to find how many of each item, then apply the sub-ratios.<br><br>
&bull; Widgets : Gadgets = 6 : 5, total 1100 items.<br>
&bull; Widgets = \(\frac{6}{11} \times 1100 = 600\); Gadgets = \(\frac{5}{11} \times 1100 = 500\).<br>
&bull; Defective widgets = \(\frac{1}{1+11} \times 600 = \frac{1}{12} \times 600 = 50\).<br>
&bull; Defective gadgets = \(\frac{1}{1+9} \times 500 = \frac{1}{10} \times 500 = 50\).<br>
&bull; Total defective items = 50 + 50 = 100.<br><br>
Final Answer: 100