Answer:
The number of costumes Scott makes is 16.
Step-by-step explanation:
Let us assume that the number of costume Scott makes be x.
As given
Scott is making costumes for a dance recital. He has 12 yards of purple fabric.
[tex]Each\ costume\ uses\ \frac{3}{4}\ yard\ of\ purple\ fabric.[/tex]
Than the equation becomes
[tex]\frac{3\times x}{4} = 12[/tex]
[tex]\frac{12\times 4}{3} = x[/tex]
Simplify the above
[tex]4 \times 4 = x[/tex]
x = 16
Therefore the number of costumes Scott make be 16 .