The answer is 3 necklaces and bracelets sets she can make
Solution:
Given that,
Length of wire used to make a necklace is:
[tex]6\frac{1}{9}\ inches = \frac{6 \times 9 + 1}{9} = \frac{55}{9}\ inches[/tex]
Length of wire used to make a bracelet is:
[tex]3\frac{1}{3}\ inches = \frac{10}{3}\ inches[/tex]
[tex]Their\ sum = \frac{55}{9} + \frac{10}{3}\\\\sum = \frac{55+30}{9} = \frac{85}{9}[/tex]
Given that she uses 28 1/3 inches of wire in all
[tex]28\frac{1}{3} = \frac{85}{3}\ inches[/tex]
[tex]Number\ of\ necklace\ and\ bracelet = \frac{\frac{85}{3}}{\frac{85}{9}}\\\\Number\ of\ necklace\ and\ bracelet = \frac{85}{3} \times \frac{9}{85} = 3[/tex]
The answer is 3 necklaces and bracelets sets she can make
