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?

Respuesta :

Answer:

[tex]6\:\text{cups}[/tex]

Step-by-step explanation:

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

[tex]\frac{2/3}{1}=\frac{x}{9}[/tex], where [tex]x[/tex] is the amount of glitter, in cups, Mindy will use to make 9 cups of glittery paint.

Cross-multiply to get:

[tex]1x=9\cdot \frac{2}{3},\\x=9\cdot \frac{2}{3}=\boxed{6\:\text{cups}}[/tex]

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