Question

A trail mix recipe calls for 1 cup of nuts for every 2 cups of granola. If you want to make 12 cups of trail mix, how many cups of granola will you need? Use a tape diagram to help organize your thinking.(1 point)

cups.

PLEASE HELP ITS DUE IN 30 MINUTES!! IM GIVING TEN POINTS AWAY

Answer 1

8 cups

Explanation:

Given a recipe for trail mix that calls for 1 cup of nuts for each 2 cups of granola, you want to know the number of cups of granola required for 12 cups of trail mix.

Fraction

The fraction of the total volume of trail mix that is granola is ...

granola / (trail mix) = granola / (nuts + granola)

(2 cups)/(1 cup +2 cups) = 2/3

Applied to the quantity 12 cups of trail mix, we find the volume of granola to be ...

granola = (2/3)×(12 cups) = 8 cups

You need 8 cups of granola for 12 cups of trail mix.

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