Answer:
3 elf costumes can be made by Barney.
Step-by-step explanation:
We are given the following information in the question:
Amount of fabric Barney has =
\(16\displaystyle\frac{1}{5} = \frac{81}{5}\text{ yards}\)
Fabric needed to make one elf costume =
\(5\displaystyle\frac{2}{5} = \frac{27}{5}\text{ yards}\)
Number of costumes that can be made =
\(\displaystyle\frac{\text{Total fabric}}{\text{Fabric required to make 1 costume}}\\\\ = \frac{\frac{81}{5}}{\frac{27}{5}} = \frac{81}{27} = 3\)
Thus, total 3 elf costumes can be made by Barney.
