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

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,

`(x)/(9)=(1\frac12)/(\frac34)\\\\\Rightarrow\ =(x)/(9)=(\frac32)/(\frac34)\\\\\Rightarrow\ (x)/(9)=(4)/(2)\\\\\Rightarrow\ x= 2*9\\\\\Rightarrow\ x=18`

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