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

Answer:

They should use 1.2 gallons of yellow paint.

Step-by-step 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:

$60:40$

= $\frac{60}{40}$

= $\frac{3}{2}$

= $3:2.$

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:

$\frac{2}{5}\ of\ 3\ gallons$

$=\frac{2}{5} \times 3$

$=\frac{6}{5}$

$=1.2\ gallons.$

Therefore, they should use 1.2 gallons of yellow paint.