Answer:
The answer is 3 necklaces and 3 bracelets.
Step-by-step 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:
<em>N = 6 1/9 inches</em>
<em>B = 3 1/3 inches</em>,
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.
<em>The sum is made by adding the fractions:</em>
<em>6 1/9 = 55/9</em>
<em>3 1/3 = 10/3</em>
<em>55/9 + 10/3 = 85/9</em>
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.
