Tomika uses 6 1 9inches of wire to make a necklace and 3 1 3inches of wire to make a bracelet. How many necklace and bracelet sets can she make if she uses 28 1 3inches of wire in all?

Since we have given that
Length of wire she used to make a necklace is given by

Length of wire she used to make a bracelet is given by

Total length of wire she is used in all is given by

Now, we calculate number of necklace and bracelet sets she can make ,
So,

So, there are 3 necklace and bracelet sets she can make .