Final answer:
Jose needs 18 cups of golden raisins and 12 cups of cashews to make 30 cups of trail mix, using the ratio of 3 parts golden raisins to 2 parts cashews for his recipe.
Step-by-step explanation:
To determine how many cups of golden raisins and cashews Jose needs for making 30 cups of trail mix with a ratio of 3 parts golden raisins to 2 parts cashews, we must first find the total number of parts in the mix.
For every 3 parts of golden raisins, there are 2 parts of cashews, which means there are 3 + 2 = 5 parts in total.
Now, to find how many cups each part represents in a 30-cup mix:
Using this information we can now calculate the amount of each ingredient:
Therefore, Jose will need 18 cups of golden raisins and 12 cups of cashews to make 30 cups of trail mix.