I have to find a coefficient matrix to represent this word problem, but I can't for the life of me decide what to even make the variables...

A paint store has to fill an order for 244 gallons of paint, .5 red paint, .25 blue and .25 green. They have large quantities of greenish paint( 12.5% red, 75% green, 12.5% blue), bluish( 20% red, 20% 60% blue), and redish (2/3 red, 1/6 green, and 1/6 blue).

How many gallons of each must be mixed to fill the order.

So I tried to set variables r + b + g = 244 for r = redish etc.

but then I can't figure out the other equations.

I don't think I can make the variables r, b, and g represent the colors themselves...

can anyone figure this out? thanks a ton for any help