Question

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 .

Answer 1

`f=3c`

Explanation:

Given:

Number of feathers =
`f`

Number of caps =
`c`

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,

`(1)/(3)=(c)/(f)`

Solving by cross multiplication, we get:

`1* f=3* c\\\\f=3c`

Therefore, the equation representing the number of feathers 'f' Erica needs to make 'c' caps is given as:

`f=3c`