Step 1: Understanding the Concept:
Fishing gear textile technology and yarn linear density numbering systems: the Denier system (mass in grams per 9,000 meters) and universal Tex system quantify synthetic filament yarn fineness.
Key Formula or Approach:
\[ \text{Denier (Td)} = \frac{\text{Mass (g)}}{9,000\text{ meters}} \quad | \quad \text{Tex (Tt)} = \frac{\text{Mass (g)}}{1,000\text{ meters}} \]
Step 2: Detailed Explanation:
In fishing gear materials and textile yarn numbering systems:
1. Denier System (Td) (A): A direct linear density numbering system defined as the mass in grams of 9,000 meters of continuous filament yarn. It is historically and commercially the most commonly used system in the fishing industry for designating the size and linear density of synthetic continuous filament yarns (e.g., Nylon 210D twine designations like $210\text{D}/2/3$).
2. Tex System (Tt): The international ISO standardized system (grams per 1,000 m).
3. Metric System (Nm): Indirect system (meters per gram).
Step 3: Final Answer:
Thus, the most commonly used system is the Denier system, corresponding to option (A).