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?

For this case we can make the following rule of three:
1 1/2 ---------> 3/4
x --------------> 9
We clear the value of x:
x = ((9) / (3/4)) * (1 1/2)
Rewriting we have:
x = ((9) * (4/3)) * (1 1/2)
x = (36/3) * (1 1/2)
x = (12) * (1 1/2)
x = (12) * (3/2)
x = 18
Answer:
you would need 18 quarts of sparkling water to mix with 9 quarts of grape juice

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ewomazinoade ewomazinoade · Answer 2 · 2021-11-02T13:06:04+01:00

The amount of sparkling water that would be needed to mix with 9 quarts of grape juice is 18 quarts.

Ratio expresses the relationship between two or more numbers. It shows the frequency with which one value is contained in another value. According to the question, the ratio of sparkling water to grape juice is [tex]1\frac{1}{2} : \frac{3}{4}[/tex].

In order to determine the amount of sparkling water that would be needed with 9 quarts of grape juice, this equation would be used:

([tex]1\frac{1}{2}[/tex] × 9) ÷ [tex]\frac{3}{4}[/tex]

([tex]\frac{3}{2}[/tex] × 9) × [tex]\frac{4}{3}[/tex] = 18 quarts

To learn more about ratios, please check: https://brainly.com/question/17995727