A florist offers three sizes of flower arrangements containing roses, daisies, and chrysanthemums. Each small arrangement contains one rose, two daisies, and three chrysanthemums. Each medium arrangement contains three roses, two daisies, and three chrysanthemums. Each large arrangement contains four roses, seven daisies, and three chrysanthemums. One day, the florist noted that she used a total of 27 roses, 38 daisies, and 27 chrysanthemums in filling orders for these three types of arrangements. How many arrangements of each type did she make