Question

NEED HELP ASAP!!!!

A flavored drink is made using a mixture of a powder drink mix and water, with ratio of powder to water that is 3:2 based on weight. If 20 g of the powdered mix is needed for a certain amount of the flavored drink, how much water will be needed?

Answer 1

`13.\overline 3`

Explanation:

We can use proportions to find the amount of water needed

Let
`x` be the amount of water needed

`(3)/(2) = (20)/(x)` (with the ratio being 3 powder to 2 water)

Now we can cross multiply and solve for
`x`

`3(x) = 20(2)\\3x = 40\\x = (40)/(3)\\ x = \boxed{13.\overline3}`

You will need
`13.\overline3` grams of water to make the flavored drink.