Question

The fluorescent powder comes in 20 grams per vile and 12 different colors per package.I have 496 cups of paint.If the ratio of powder to paint is 3 viles is to 1.286 cups, how many packages of powder do I need to use the 496 cups of paint?

Answer 1

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:

`\text{ 3 viles of powder is to 1.286 cups of paint}`
`\text{ 3 : }1.286`

Take note:

1 package = 12 viles of different colors

Let's now compute:

`3\text{ Viles : 1.286 Cups = x : 496 Cups}`
`\text{ }\frac{3\text{ Viles}}{1.286\text{ Cups}}\text{ = }\frac{x}{496\text{ Cups}}\text{ }\rightarrow\text{ }(1)/(5)\text{ = }(x)/(496)`
`(3)(496)\text{ = (1.286)(x)}`
`(5x)/(5)\text{ = }\frac{\text{496}}{5}`