Culture K and J were identified through examination of their appearance on culture media, gram staining reactions, and catalase tests. Gram staining revealed that culture K was gram-positive, staining purple, while culture J was gram-negative, staining pink. Gram-positive bacteria have a thick peptidoglycan layer in their cell walls, staining purple with gram staining. Gram-negative bacteria have a thinner peptidoglycan layer and an outer membrane, staining pink. Identification of the bacteria was achieved through analysis of cell structure and staining characteristics.