Colored fibers can be intimately blended in suitable proportions to achieve a specific color. This kind of formulation suffers from a lack of computer-aided toot to assist the colorist attempting to find a good recipe to reproduce a target color. In this article a color-matching system based on the theoretical model from Friele is proposed, which was tested for cotton blends. After an explanation of the derivation of Friele equation, the development of a color-matching algorithm is outlined. This algorithm was run to formulate recipes for matching target colors chosen at random. Despite having obtained large color differences, the exploitation of the Friele equation for color matching purposes can be recommended. In fact, a colorist should work with a larger number of primary colors, between 40 and 50, and blend at least four components in order to obtain a close match. According to these suggested rules, a good starting recipe can be obtained from the Friele theory. A correction routine can be used, based on a perturbation method, which has been shown to increase the accuracy of the match.