To find out how much rope was used to make the unsold plant hangers, follow these steps:
1. Total plant hangers made:
Kevin made a total of 24 plant hangers.
2. Plant hangers sold:
Kevin sold 18 of those plant hangers at the craft show.
3. Calculate the number of unsold plant hangers:
To find out how many hangers were left unsold, subtract the number of sold hangers from the total hangers made:
[tex]\[
\text{unsold hangers} = \text{total hangers} - \text{sold hangers}
\][/tex]
By substituting the numbers, this is:
[tex]\[
\text{unsold hangers} = 24 - 18 = 6
\][/tex]
4. Rope used per plant hanger:
Each plant hanger uses [tex]\(2 \frac{3}{4}\)[/tex] (which equals 2.75) yards of rope.
5. Calculate the total amount of rope used for the unsold hangers:
Multiply the number of unsold hangers by the rope required for each hanger:
[tex]\[
\text{rope used for unsold hangers} = \text{unsold hangers} \times \text{rope per hanger}
\][/tex]
By substituting the numbers, this is:
[tex]\[
\text{rope used for unsold hangers} = 6 \times 2.75 = 16.5
\][/tex]
Therefore, the amount of rope used to make the unsold hangers is 16.5 yards.
Among the given choices:
A) 66 yards
B) [tex]\(16 \frac{1}{2}\)[/tex] yards
C) [tex]\(49 \frac{1}{2}\)[/tex] yards
D) 6 yards
The correct answer is B) [tex]\(16 \frac{1}{2}\)[/tex] yards.
