Question

Kool-aide is made from flavored powder and water, with the ratio of powder to water 3:2 based on weight. If 120g of flavored powder are needed for a certain amount of Kool-aide, how much water will be needed for this amount?

Answer 1

The given ratio of powder to water is 3:2 based on weight for Kool-aide. It is also given that 120g of flavored powder is needed for a certain amount of Kool-aide.

Let us assume that the amount of water (by weight) required to maintain the given ratio of 3:2 be represented by the letter
`x`. Thus, from the given information we can conclude that:

`(Powder Weight)/(Water Weight)=(3)/(2)=(120)/(x)`

`\therefore (3)/(2)=(120)/(x)`

Cross-multiplying we get:

`3x=240`

`\therefore x=(240)/(3)=80` grams.

Thus, the amount of water in grams in that Kool-aide is 80 grams.