[FONT=Times New Roman][SIZE=3]Would someone please help me with the following math problem and then tell me how you come at the correct answer?[/SIZE][/FONT]
[SIZE=3][/SIZE][FONT=Times New Roman][SIZE=3]I have the following three yarns:[/SIZE][/FONT]
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[FONT=Times New Roman][SIZE=3]a two-ply finger weight yarn that is 100% wool.[/SIZE][/FONT]
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[FONT=Times New Roman][SIZE=3]a two-ply finger weight yarn that is 70% wool, 20% angora rabbit hair, and 10% nylon.[/SIZE][/FONT]
[SIZE=3][/SIZE]
[FONT=Times New Roman][SIZE=3]a four-ply DK weight yarn that is 47% rayon, 26% nylon, 15% cotton, and 7% angora rabbit hair.[/SIZE][/FONT]
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[FONT=Times New Roman][SIZE=3]I have combined these three strands together and the resulting 8 ply yarn works up to 3.5 stitches per inch. I would call it a HW or #5 yarn. Can someone tell me the correct percentages of each different fiber in the resulting yarn? I’m presently making and designing a top down cardigan. Thank you for your help and input.[/SIZE][/FONT]

Yes, I can do it for you in a flash, except for one problem: the 3rd yarn only totals 95%. Is one of the numbers wrong, or is there another fibre missing from that one’s list?

But here it is so far:
56.67% wool
9% Angora
12% nylon
15.67% rayon
5% cotton
1.67% mystery fibre

I get:
a two-ply finger weight yarn that is 100% wool. This is 25% of your total weight, so multiply by .25, you get 25% wool.

a two-ply finger weight yarn that is 70% wool, 20% angora rabbit hair, and 10% nylon. This is also 25% of your total weight, so multiply by .25, you get 17.5% wool, 5% angora, 2.5% nylon.

a four-ply DK weight yarn that is 47% rayon, 26% nylon, 15% cotton, and 7% angora rabbit hair. This is 50% of your total weight, so multiply by .5, you get 23.5% rayon, 13% nylon, 7.5% cotton and 3.5% angora (plus whatever is missing).

Add them all together and you get 42.5% wool, 8.5% angora, 15.5% nylon, 23.5% rayon, 7.5% cotton. And 2.5% left over for whatever is missing.

HTH

Oh, and here’s how to do it for future reference:

You have 3 yarns, which equals 300%, but you need to know what they are to equal 100%. So you total up all the different fibres-- this is what I got–
100% + 70% = 170% wool
20% + 7% = 27% Angora
10% + 26% = 36% nylon
47% rayon
15% cotton
5% mystery fibre

Then, you take each total number and divide it by 3. So the 170% wool = 56.67%, the 27% Angora = 9% etc.

I get the same as cristeen!

[U]Yes, I can do it for you in a flash, except for one problem: the 3rd yarn only totals 95%. Is one of the numbers wrong, or is there another fibre missing from that one’s list?[/U]

My apologies. The last one also has 4% wool and 1% cashmere.
Thank you both for your help. I had totaled the different fibers, but then I didn’t know how to go from there.

The resulting yarn is soft, drapes well, and is a tweedy color.
The first yarn is a natural wool in a light sand color that I bought on a cone through eaby. The second is from a recycled cream colored sweater I got at a local thrift store. The third yarn is also from a recycled sweater (found at the same store) and it is a light-medium tan color.

The problem with that is the different weights of the original yarn. If all 3 yarns were the same ply or weight that would work, but because she had 2 2-ply yarns and 1 4-ply yarn, the math changes.