Question

A recipe for sparkling grape juice calls for 1 2 1 quarts of sparkling water and 4 3 quart of grape juice. How much of each ingredient would you need to make 100 quarts of punch?

Answer 1

To make 100 quarts of punch, you would need approximately 66.67 quarts of sparkling water and 33.33 quarts of grape juice.

Step-by-step explanation:

To make 100 quarts of punch, you need to determine the ratio of sparkling water to grape juice in the recipe and then use that ratio to calculate the quantities of each ingredient needed. Let's start with the ratio. In the recipe, for every 1 2 1 quarts of sparkling water, there are 4 3 quarts of grape juice. This can be simplified to 2 quarts of water to 3 quarts of juice.

To find out how much of each ingredient you need for 100 quarts, we can set up a proportion:

2 quarts / 3 quarts = X quarts / 100 quarts

Cross multiply and solve for X:

2 quarts * 100 quarts = 3 quarts * X quarts

X = (2 * 100) / 3

X = 200 / 3

X ≈ 66.67

So, you would need approximately 66.67 quarts of sparkling water and 100 quarts - 66.67 quarts = 33.33 quarts of grape juice to make 100 quarts of punch.