To be able to find how many packages of powder you need to use in the 496 cups of paint, we will be using the given ratio:
[tex]\text{ 3 viles of powder is to 1.286 cups of paint}[/tex][tex]\text{ 3 : }1.286[/tex]Take note:
1 package = 12 viles of different colors
Let's now compute:
[tex]3\text{ Viles : 1.286 Cups = x : 496 Cups}[/tex][tex]\text{ }\frac{3\text{ Viles}}{1.286\text{ Cups}}\text{ = }\frac{x}{496\text{ Cups}}\text{ }\rightarrow\text{ }\frac{1}{5}\text{ = }\frac{x}{496}[/tex][tex](3)(496)\text{ = (1.286)(x)}[/tex][tex]\frac{5x}{5}\text{ = }\frac{\text{496}}{5}[/tex][tex]undefined[/tex]