Question

A recipe for sparkling grape juice calls for 1 1 1 2 2 1 quarts of sparkling water and 3 4 4 3 quart of grape juice.

a) how much sparkling water would you need to mix with 9 9 quarts of grape juice? quarts preview
b) how much grape juice would you need to mix with 15 4 4 15 quarts of sparkling water? quarts preview
c) how much of each ingredient would you need to make 100 100 quarts of punch? sparkling water:

Answer 1

To mix with 15 quarts of sparkling water, you would need 15 quarts of grape juice. To make 100 quarts of punch, you would need 50 quarts of sparkling water and 150 quarts of grape juice.

Step-by-step explanation:

To find how much grape juice is needed to mix with 15 quarts of sparkling water, we need to use the given ratio of 1 quart of grape juice for every 1 quart of sparkling water. So, for 15 quarts of sparkling water, you would need 15 quarts of grape juice.

To find how much of each ingredient is needed to make 100 quarts of punch, we need to determine the ratio of sparkling water to grape juice from the given recipe. The ratio is 1 1 1 2 2 1 quarts of sparkling water to 3 4 4 3 quarts of grape juice. We can simplify this ratio by dividing both quantities by their greatest common factor, which is 2. So, the simplified ratio is 1/2 quarts of sparkling water to 3/2 quarts of grape juice. To scale up the recipe to make 100 quarts of punch, we can multiply the ratios by 100. Therefore, you would need 50 quarts of sparkling water and 150 quarts of grape juice.