Question

Julia and Rasheed are mixing yellow paint and blue paint to make green paint. The mixture needs to be 60% blue paint and 40% yellow paint. If they need to make 3 gallons of the green paint, how much yellow paint should they use?

Answer 1

They should use 1.2 gallons of yellow paint.

Explanation:

Given:

Julia and Rasheed are mixing yellow paint and blue paint to make green paint.

The mixture needs to be 60% blue paint and 40% yellow paint.

They need to make 3 gallons of the green paint.

Now, to find the quantity of yellow paint they should use.

As,

60% + 40% = 100%

So, we get the ratio of blue paint to yellow paint:

`60:40`

=
`(60)/(40)`

=
`(3)/(2)`

=
`3:2.`

Thus, the ratio of blue paint : yellow paint is 3:2.

They need to make total 3 gallons of green paint.

Now, to get the quantity of yellow paint:

`(2)/(5)\ of\ 3\ gallons`

`=(2)/(5) * 3`

`=(6)/(5)`

`=1.2\ gallons.`

Therefore, they should use 1.2 gallons of yellow paint.