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 and it's not 24 or 12

Answer 1

To find the number of cups of granola needed, we can use the ratio of 1 cup of nuts to 2 cups of granola.

Let's represent the number of cups of nuts as "N" and the number of cups of granola as "G".

Since the ratio of nuts to granola is 1:2, we can set up the following equation:

Nuts/Granola = 1/2

We know that the total amount of trail mix we want to make is 12 cups. This can be represented as:

Total Trail Mix = N + G = 12

By substituting N = 1/2 * G into the equation, we can solve for G:

1/2 * G + G = 12

3/2 * G = 12

Multiplying both sides by 2/3:

G = 12 * 2/3

G = 8

Therefore, you will need 8 cups of granola for 12 cups of trail mix.