Question

Tomika uses 6 1/9 inches of wire to make a necklace and 3 1/3 inches of wire to make a bracelet. How many necklace and bracelet sets can she make if she uses 28 1/3 inches of wire in all?

PLEASE ANSWER!

Answer 1

9 4/9 for a necklace + bracelet

multiplied by 3 is exactly 28 1/3

So 3 is the answer

Answer 2

The answer is 3 necklaces and 3 bracelets.

Explanation:

First, we are going to see how much wire we need to make 1 Necklace and 1 bracelet.

We are going to call Necklace (N) and Bracelet (B) to make it easier.

We know that the wire for:

N = 6 1/9 inches

B = 3 1/3 inches,

1. We know that the equation is 6 1/9 N + 3 1/3 B = 28 1/3, N and B are the numbers of Necklaces and bracelets.

N + B = 6 1/9 + 3 1/3 = 85/9 inches (N+B), This is the total wire that is needed to make 1 necklace and 1 bracelet.

The sum is made by adding the fractions:

6 1/9 = 55/9

3 1/3 = 10/3

55/9 + 10/3 = 85/9

Now that we know that N + B = 85/9 (N+B) we are going to solve the equation:

85/9 (N+B) = 28 1/3

then we solve sending the 85/9 to divide on the other side.

(N+B) = (28 1/3) / (85/9)

we divide those numbers and we get:

(N+B) = 3

This means we have (N+B) 3 times.

(N+B)

(N+B)

(N+B)

Now if we add all the N and B we have 3 N and 3 B.

If we substitute in equation 1 then we have:

6 1/9 N + 3 1/3 B = 28 1/3,

6 1/9 (3) + 3 1/3 (3) = 28 1/3

If we solve we get the answer.