Question

A recipe for sparkling grape juice calls for 112 quarts of sparkling water and 34 quarts of grape juice. How much sparkling water would you need to mix with 9 quarts of grape juice?

Answer 1

To determine the amount of sparkling water needed for 9 quarts of grape juice, we use the ratio from the original recipe. We cross multiply and divide to find approximately 29.65 quarts of sparkling water are needed.

Step-by-step explanation:

To find out how much sparkling water is needed to mix with 9 quarts of grape juice, first we need to set up a ratio based on the original recipe. The recipe calls for 112 quarts of sparkling water and 34 quarts of grape juice, which simplifies to the ratio:

112 quarts sparkling water / 34 quarts grape juice = x quarts sparkling water / 9 quarts grape juice

To solve for x, cross multiply and divide:

112 quarts sparkling water * 9 quarts grape juice = 34 quarts grape juice * x quarts sparkling water

x = (112 * 9) / 34

x = 1008 / 34

x ≈ 29.65 quarts of sparkling water

Therefore, you would need approximately 29.65 quarts of sparkling water to mix with 9 quarts of grape juice.