When I’m tech-editing patterns, one of the things I need to do is figure out the exact amount of yarn needed to make a garment. It’s one of my favorite parts of the process because it seems a little bit like magic and involves some fun, easy math and my kitchen scale.
The first garment is easy. I weigh the knitted sample and divide the total number of grams by the number of skeins used. If you want to know meters v. weight, you can multiply that resulting number by the number of meters per skein.
The fun part comes when you’re figuring out yarn amounts for the other sizes. We all learned how to do this in junior high school algebra class, but until I needed the skill for crocheting I had lost it in the reaches of my brain.
You set up cross products by turning what you know into a fraction, i.e. take the bust measurement of the garment you have and make that the numerator (the top number). Take the total number of grams and make it the denominator (bottom number) like this
32
—
486
The other fraction uses the garment you’re trying to figure out the yarn amount for as the numerator and “x” as the denominator. We’ll find for “x”
38
—-
x
So the calculation looks like this:
32 38--- = ---486 x
Do you remember what to do next? Maybe this looks a little familiar and you just have to shake the cobwebs away for a moment.
1) Multiply 486 x 38. (18468)
2) Divide 18,468/32 (577.1)
Now you know you need 577.1 g of yarn for the 38″ garment.
3) Divide 577.1/50 (or however many grams are in each ball of yarn you’re using).
You’ll need 11.5 (or 12) balls of yarn (of course it wouldn’t hurt to buy 13 just in case your tension varies).
Technorati Tags:
knitting, pattern, crochet, yarn, math, cross products
Lauren said,
March 18, 2007 @ 12:41 pm
Amy,
Thank you so much for sharing this. I was figuring this out a much more complicated way. Once in a while you’ve just got to love the math.
Thanks,
Lauren
Deneen said,
March 18, 2007 @ 1:09 pm
Ooh, I shall bookmark this post cause you know I need all the help I can get. Thanks!
Anonymous said,
March 18, 2007 @ 2:37 pm
I love it when someone finds that the math they learned in late elemetary or jr. high, really does have a use. I tell my students that they will find uses for math in places they never suspects. However, please use the term “cross-products” instead of “cross-multiplication”. There is much confusion caused by the term “cross-multiplication”, you should see students multiply fractions if the term “cross-multiplication” is used. It keeps a lot of confusion from happening if the term “cross-products” is used.
Thanks for the good work.
Mark
Math Teacher
Amy O'Neill Houck said,
March 18, 2007 @ 3:06 pm
Thanks for the help, and encouragement, Mark!
Amie said,
March 18, 2007 @ 4:08 pm
Oh yay! What incredibly helpful info. You just changed my life. LOL
The Purloined Letter said,
March 19, 2007 @ 5:32 am
For those who think in SAT-Verbal rather than SAT-Math ways, try thinking of it as an analogy problem:
32 is to 48 as 38 is to what? It is solved the same way, of course, but verbalizing the relationship helps me figure out what kind of math to use.
Very cool post!
Michelle said,
February 12, 2008 @ 8:14 pm
This is such a great idea! I wish I would have known about it before. It would have saved me a lot of headaches and frustration.
Rosi G. said,
March 7, 2008 @ 7:45 am
Fantastic info! Thanks for sharing. I never really thought of it that way. By the time I would’ve been done, it would’ve looked like a page out of Einstein’s scribble journal!