MATH SOLVE

4 months ago

Q:
# 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.

Accepted Solution

A:

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)

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)