Yarn Count Calculation

Step 1: Define the Tex system. The Tex system is a direct yarn numbering system. The Tex number is defined as the weight in grams of 1,000 meters of yarn.
Formula: Tex = Weight (g) / Length (km) = Weight (g) for 1000m.

Step 2: Use the given data to find the weight per 1000 meters.
Given: - Length = 100 meters - Weight = 2.5 grams We can set up a proportion: If 100 meters weigh 2.5 grams, Then 1000 meters will weigh X grams.

Step 3: Solve for X.
So, 1000 meters of the yarn weigh 25 grams.

Step 4: Determine the Tex number.
By definition, the Tex number is the weight in grams per 1000 meters. Therefore, the yarn count is 25 tex.

Step 1: Understand the definition of the Tex count system. A count of 30 tex means that 1000 meters of this yarn weigh 30 grams.

Step 2: Set up the problem. We know the total weight of the yarn on the bobbin is 75 grams, and we know the weight per 1000 meters. We need to find the total length.
We can write the relationship as: First, find the weight per meter:

Step 3: Calculate the total length.
Alternative Method (using proportion): If 30 grams correspond to 1000 meters, Then 75 grams correspond to X meters.