A system includes a dishwasher, an image capturing device designed to capture an image of washware arranged in the washing chamber, with the image including a plurality of sub-images, each of which having different spectral information of the washware. An illumination unit illuminates the washware in the washing chamber, and an image analysis unit receives the captured image from the image capturing device and to carry out a chemical analysis of soiling on the washware based on the plurality of sub-images of the received image and to ascertain a dirt characteristic of soiling as a result of the chemical analysis. A control device carries out a washing program for washing the washware in the washing chamber. The control device receives the dirt characteristic from the image analysis unit and adapts the washing program for washing the washware as a function of the received dirt characteristic.