Give the step-by-step reasoning process and then the final answer. Billy is reducing raspberry juice down to make syrup. He reduces 6 quarts of juice to 1/12 of its original volume, then adds 1 cup of sugar. What is the final volume of the syrup in cups? (There are 4 cups in a quart)
First find the total number of cups of juice: 6 quarts * 4 cups / quart = 24 cups. Then find the reduced volume of the juice: 24 cups * 1 / 12 = 2 cups. Then add the volume of the sugar to find the total volume of the syrup: 2 cups + 1 cups = 3 cups.
The final answer: 3.