A florist offers three sizes of flower arrangements containing roses, daisies, and chrysanthemums. Each small arrangement contains one rose, three daisies, and four chrysanthemums. Each medium arrangement contains two roses, five daisies, and four chrysanthemums. Each large arrangement contains five roses, five daisies, and eight chrysanthemums. One day, the florist noted that she used a total of 28 roses, 41 daisies, and 52 chrysanthemums in filling orders for these three types of arrangements. How many arrangements of each type did she make