Question

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?

Answer 1

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

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.