Final answer:
To make a punch with a 1:2 ratio of grape juice to sparkling water, for 100 quarts of grape juice, you would need 200 quarts of sparkling water. A similar example is converting cups to quarts for a pineapple juice recipe, where 3 cups per batch for 5 batches results in 3.75 quarts needed.
Step-by-step explanation:
The question involves a ratio of grape juice to sparkling water required to make a punch. We have that 9 quarts of grape juice is to 18 quarts of sparkling water. This ratio simplifies to 1:2, meaning for every quart of grape juice, we need two quarts of sparkling water.
To find out how much sparkling water is needed for 100 quarts of grape juice, we multiply the number of quarts of grape juice by the ratio of sparkling water to grape juice.
So, for 100 quarts of grape juice:
100 quarts of grape juice x 2 quarts of sparkling water/quart of grape juice = 200 quarts of sparkling water.
In a real-world conversion example, Evana uses 3 cups of pineapple juice for a single batch of her recipe. Since there are 4 cups in a quart, if she makes 5 batches, she will need:
3 cups/batch x 5 batches = 15 cups of pineapple juice,
and converting cups to quarts:
15 cups x 1 quart/4 cups = 3.75 quarts of pineapple juice.