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

 3 necklaces and bracelet sets can be made from the  28 1/3 inches of wire.

Step-by-step explanation:

step 1

LET  I set of necklace and bracelet be represented as ( A bracelet and a necklace)

 if Tominka uses 6 1/9 inches of wire to make a necklace and 3 1/3 of wire to make a bracelet  for a set

Then Total Length of wire that can be used for a set = 6 1/9 inches+ 3 1/3 inches = 9 (1+ 3)/9

= 9 4/9 inches.

Step 2

IF  a set (One necklace and bracelet) can use = 9 4/9 inches

and Total wire used = 28 1/3inches

Then Number of  necklaces and bracelet sets that can be made  from the 28 1/3 inches wire = 28 1/3inches /9 4/9 inches

=85/3 / 85/ 9  = 85/3  x 9/ 85  = ( 85 cancels 85 )

9/3 = 3

 3 necklaces and bracelet sets can be made from the  28 1/3 inches of wire.