**Simplified Yarn Calculation:**

By definition, one’s count means a bundle of 840 yards which weighs one pound. Similarly, 10s determine yarn count means 10 bundles (each of 840 yards length) in one pound. It should be borne in mind that,

- 1 pound = 7000 grains
- 1 pennyweight (dwt.) = 24 grains
- 1 lea =120 yards
- 7 leas or 840 yards =1 hank

**Calculation of Yarn Count**

From the above, a lea of 1s count weight is 1000 grains.

If 1000 grains is the lea weight the count is 1s

And If 50 grains is the lea weight the count is 1000/50 = 30s

And If 25 grains is the lea weight the count is 1000/25 = 40s

And so on.

Thus the constant of 1000 becomes very useful for finding out yarn counts by obtaining the lea weights.

*Note: If two or three leas weight is given, to find count either find out one lea weight and divide 1000 by one lea weight or multiply 1000 by the given number of leas and then divide the result by total gave leas weight.*

**Determine Yarn Count**

**Mathematical Problem: 01**

Given the weight of 5 leas equal to 100 grains, **Find the yarn count**?

**Solution:**

By first method,

weight of one lea = 100/5 = 20 grains

And count =1000/20 = 50s

By second method,

1000 x 5 leas = 5000

And count 5000/100 = 50s (ANS).

The same can be conveniently used even to find the count of a given length of yarn shorter than a lea.

**Mathematical Problem: 02**

If a 24 yards length yarn piece weights 4 grains what is the count?

**Solution:**

24 yards weight is 4 grains

120 yards weight is (4 x 120)/20 = 20 grains

And count = 1000/20 = 50s (ANS).

Conversely, If the count is given the lea weight can be quickly determined by dividing the constant 1000 by the given count.

**Mathematical Problem: 03**

What is the **lea** weight of 30 s yarn?

**Solution:**

Weight is =1000/30 = 33 1/3 grains (ANS).

Even short lengths weight can be calculated if the count is known.

**Mathematical Problem: 04**

What the weight of 15 yards of 40 s yarn?

**Solution:**

Weight of 1 lea (120 yards) = 1000/40 = 25 grains

So 15 yards weight = (25 x 25)/120 = 17/3 grains. (ANS).

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