Answer:
5 7/10 cups of raisins
Step-by-step explanation:
We assume that the total volume made equals the sum of the volumes of the individual ingredients.
He uses 2 cups of raisins and makes 7 cups of trail mix. That mean the amount of other ingredients is 7 cups - 2 cups = 5 cups.
He uses 2 cups raisins and 5 cups of other ingredients.
When he uses 14 1/4 cups of other ingredients instead of only 5 cups, he is multiplying the recipe to make it bigger.
Now we calculate how many times he is multiplying the recipe by.
14 1/4 divided by 5 = (14 1/4)/5 = (57/4)/5 = 57/4 * 1/5 = 57/20
He is making 57/20 times the original recipe.
Since he is making 57/20 times the recipe, he needs 57/20 times 2 cups of raisins.
Now we calculate what 57/20 times 2 cups of raisins is.
57/20 * 2 = (57 * 2)/10 = (57 * 2)/(10 * 2) = 57/10 = 5 7/10
Answer: 5 7/10 cups of raisins
