Question

Tomika uses 619 inches of wire to make a necklace and 313 inches of wire to make a bracelet. How many necklace and bracelet sets can she make if she uses 2813 inches of wire in all? Enter your answer in the box.

Answer 1

1 necklace requires 619 in. of wire
1 bracelet requires 313 in. of wire
The total length of wire = 2813.

Let x = the number of necklaces made.
Let y =  the number of bracelets made.

The total amount of wire used is 2813 in., therefore
619x + 313y = 2813
y = (2813 -619x)/313
y = 8.9872 - 1.9976x

Create a table of x versus y.
x:  0   1   2   3   4       
y:  9   7   5   3   1

Answer:
(0,9), (1,7), (2,5), (3,3), (4,1)

Answer 2

Answer:

3 of necklace and bracelet.

Step-by-step explanation:

6 1/9w + 3 1/3w = 28 1/3

9 4/9w = 28 1/3

9 4/9w divided by 9 4/9 = 28 1/3 divided by 9 4/9

W = 3 Sets