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)

Question

cups

Answer 1

Let's use a tape diagram to solve this problem.

Let's represent 1 cup of nuts as 1 unit and 1 cup of granola as 2 units.

Since we want to make 12 cups of trail mix, we'll need:
12 units of nuts (1 cup of nuts for every 1 unit)
x units of granola (1 cup of granola for every 2 units)

We can set up the equation:
12 = 1x/2

To solve for x, we can multiply both sides of the equation by 2:
24 = 1x

Therefore, we'll need 24 cups of granola to make 12 cups of trail mix.