Answer:
[tex]f=3c[/tex]
Step-by-step explanation:
Given:
Number of feathers = [tex]f[/tex]
Number of caps = [tex]c[/tex]
Number of feathers in each cap = 3
Now, solving by setting up a proportion.
1 cap has 3 feathers. 'c' caps has 'f' feathers.
This gives,
[tex]\dfrac{1}{3}=\dfrac{c}{f}[/tex]
Solving by cross multiplication, we get:
[tex]1\times f=3\times c\\\\f=3c[/tex]
Therefore, the equation representing the number of feathers 'f' Erica needs to make 'c' caps is given as:
[tex]f=3c[/tex]