A green paint is created by mixing 3 parts of yellow with every 5 parts of blue. How many gallons of yellow paint are needed to make 44 gal of this green paint?

3/8 = x/44

Cross multiply and solve for x.

To find the amount of yellow paint needed to make 44 gallons of green paint, we need to determine the ratio of yellow to blue paint.

Given that the ratio of yellow to blue is 3:5, we can calculate the proportion of yellow paint in one unit of the green paint mixture.

To do this, we'll divide 3 (the number of parts of yellow paint) by the total parts of paint in one unit of the mixture, which is 3 (from yellow paint) + 5 (from blue paint), resulting in a total of 8 parts.

So, the proportion of yellow paint in one unit of the green paint mixture is 3/8.

To find out how many gallons of yellow paint are needed for 44 gallons of green paint, we can set up a simple proportion:

3/8 = x/44

To solve for 'x', cross-multiply:

8x = 3 * 44

8x = 132

Divide both sides of the equation by 8:

x = 132/8

x = 16.5

Therefore, you would need 16.5 gallons of yellow paint to make 44 gallons of green paint.