Question

A recipe for sparkling grape juice calls for 1 1/2 quarts of sparkling water and 3/4 quart of grape juice. How much sparkling water would you need to mix with 9 quarts of grape juice?

A) 5 points
B) 10 quarts
C) 15 quarts
D) 16 quarts
E) 18 quarts

Answer 1

To follow the recipe's ratio, 18 quarts of sparkling water would be required to mix with 9 quarts of grape juice, resulting in answer choice (E) 18 quarts.

Step-by-step explanation:

The question is asking how much sparkling water needs to be mixed with 9 quarts of grape juice to follow a given recipe ratio.

The original recipe says: 1 1/2 quarts of sparkling water to 3/4 quart of grape juice.

To find the amount of sparkling water needed for 9 quarts of grape juice, start by setting up a proportion based on the recipe:

Sparkling water/Grape juice = 1 1/2 quarts/3/4 quarts

Now, let x be the amount of sparkling water needed for 9 quarts of grape juice.

x/9 quarts = 1 1/2 quarts/3/4 quarts

Cross-multiply and solve for x:

(x)(3/4) = (9)(1 1/2)

x = (9)(1 1/2)/(3/4)

x = (9)(3/2)/(3/4)

To simplify, multiply by reciprocal of the fraction on the right side:

x = (9)(3/2)(4/3)

x = 18 quarts

So, the answer is (E) 18 quarts of sparkling water.