Answer: 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.
