Question

Mindy is the head cheerleader on her suad. She is making banners to place throughout the school for the first football game of the season. She used ⅔ cup of glitter to make 1 cup of glittery paint. Using this same proportion, how many cups of glitter will Mindy use to make 9 cups of glittery paint?

Answer 1

`6\:\text{cups}`

Explanation:

Since the proportion is maintained, we can set up the following proportion:

`(2/3)/(1)=(x)/(9)`, where
`x` is the amount of glitter, in cups, Mindy will use to make 9 cups of glittery paint.

Cross-multiply to get:

`1x=9\cdot (2)/(3),\\x=9\cdot (2)/(3)=\boxed{6\:\text{cups}}`