a trail mix recipe calls for 1 cup of nuts of 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 take diagram to help organize your thinking.
To determine the number of cups of granola needed to make 12 cups of trail mix, we need to understand the ratio provided in the recipe.
According to the recipe, for every 2 cups of granola, we require 1 cup of nuts. Therefore, the ratio of nuts to granola is 1:2.
Taking this ratio into account, the total amount of the mix will be divided into 1 part nuts and 2 parts granola. Since we want to make 12 cups of trail mix, we can consider it as 3 parts (1 part nuts + 2 parts granola) or 12 units in total.
Using a tape diagram, we can visually represent this:
Nuts: --- (1 unit)
Granola: ------- (2 units)
Since the total number of units is 12, we can determine the value of each unit:
1 unit + 2 units = 3 units
3 units = 12 cups
1 unit = 12 cups ÷ 3 = <<12/3=4>>4 cups
Therefore, since we need 2 parts of granola, we multiply the value of each unit by 2 to find the required amount:
2 units * 4 cups per unit = 8 cups of granola
Hence, to make 12 cups of trail mix, you will need 8 cups of granola.