Question

The Green Goober, a wildly unpopular superhero, mixes 3 liters of yellow paint with 5 liters of blue paint to make 8 liters of special green paint for his costume.

Write an equation that relates the amounts (in liters) of yellow paint (y) and blue paint (b) needed to make the Green Goober's special green paint.

Answer 1

Hence, the expression that relates b and y is:

`y=(3)/(5)b`

Explanation:

It is given that:

The Green Goober, a wildly unpopular superhero, mixes 3 liters of yellow paint with 5 liters of blue paint to make 8 liters of special green paint for his costume.

i.e. the proportion of yellow paint used =
`(3)/(8)`

and proportion of blue paint used =
`(5)/(8)`.

Let 'x' be the total mixture formed.

The amount of yellow paint(y)=
`(3)/(8)* x`

i.e.
`x=(8)/(3)y`

and amount of blue paint(b)=
`(5)/(8)* x`

i.e.
`x=(8)/(5)b`.

Hence we can equate x from both the equation to obtain:

`(8)/(3)y=(8)/(5)b\\\\(1)/(3)y=(1)/(5)b\\\\\\5y=3b\\\\\\y=(3)/(5)b`

Hence, equation that relates the amounts (in liters) of yellow paint (y) and blue paint (b) needed to make the Green Goober's special green paint is:

`y=(3)/(5)b`

Answer 2

Let

y------> the amounts (in liters) of yellow paint

b-----> the amounts (in liters) of blue paint

we know that

`(y)/(b)=(3)/(5)`

so

`y=(3)/(5)b`

therefore

the answer is

`y=(3)/(5)b`