There are two ways i understand this problem. 1st understanding is that Carma only got 9 coins, so, Frankie only gets 2 coins because Carma only got her 1st set of 5 coins. 2nd understanding is the Carma has 9 coins left. It that is so, 9 coins is the remaining coins after she gave Frankie his share. With this in mind, I can say that Frankie got 6 coins because Carma originally got 15 coins and she gave 6 to Frankie, thus, 9 coins are left in her possession.
her little brother should have six. because five coins in the ratio 3:2, and there are three lots, the way you split it from 15 is 9:6 the answer is 6