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Real-Life Math

You might not think a textile color chemist would use math very much. What does 2 + 2 have to do with creating colors, anyway?

"I use mathematics all day long," says Liz Hodgkinson. She is a dye house manager. "Calculus and trig, no. Algebra, yes. Ratios and percentages, YES!"

Textile color chemists have to make sure the colors turn out "on shade" every time. One of the ways they do this is by attempting to duplicate the conditions under which the color turned out on shade before. They replicate the exact dye recipe, the water temperature and quantity of product.

Dye recipes are usually created with a combination of three colors: yellow, blue and red.

"Formulations are normally based on a percentage of goods," says Hodgkinson. "You need to know the weight of the batch."

You have a large batch of wool sweaters you want to dye a dark burgundy color. You know that the recipe you used last time to create dark burgundy is 0.28 percent yellow, 2.7 percent red and 0.3731 percent blue. You also know that the sweaters you want to dye weigh 562.4 pounds in total.

To figure how much dye you will use to achieve the desired color, you will use the following formula.

Total amount of dye color = (percentage of single color from dye recipe) x (weight of batch)

However, dye recipes require the measurements in grams per liter. You have to convert your figures into that format.

To convert pounds to kilograms, you must divide the weight for each percentage by 2.2. There are 1,000 grams in a kilogram.