Barney can make 3 costumes from the total fabric.
Step-by-step explanation:
Given,
Amount of fabric Barney has = [tex]16\frac{1}{5}=\frac{81}{5}\ yards[/tex]
Amount of fabric required for an elf costume = [tex]5\frac{2}{5}=\frac{27}{5}\ yards[/tex]
Let,
x represent the number of costumes that can be make from total fabric.
[tex]\frac{27}{5}x=\frac{81}{5}[/tex]
Multiplying both sides by 5/27
[tex]\frac{5}{27}*\frac{27}{5}x=\frac{81}{5}*\frac{5}{27}\\\\x=\frac{81}{27}\\\\x=3[/tex]
Barney can make 3 costumes from the total fabric.
Keywords: fraction, multiplication
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