Question

A recipe for sparkling water calls for 1 1/2 quarts of sparkling water and 3/4 quarts of grape juice how much sparkling water will you need to mix 9 quarts of grape juice

Answer 1

Answer: 18 quarts

Step-by-step explanation:

Quantity of sparkling water and gape juice are used in proportion in  the recipe.

Let x=  quantity of sparkling water when 9 quarts of grape juice is used.

Then,

$\dfrac{x}{9}=\dfrac{1\dfrac12}{\dfrac34}\\\\\Rightarrow\ =\dfrac{x}{9}=\dfrac{\dfrac32}{\dfrac34}\\\\\Rightarrow\ \dfrac{x}{9}=\dfrac{4}{2}\\\\\Rightarrow\ x= 2\times9\\\\\Rightarrow\ x=18$

Hence, 18 quarts of sparkling water is required to mix with 9 quarts of grape juice.