Erica is making feathered caps for her school play. Each cap must have 3 feathers. Write an equation that represents the number of feathers f Erica needs to make c caps .

Respuesta :

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]