Question

A free cable sparkling juice calls for 1 1/2 quarters of sparkling water and 3/4 course with grape juice how many sparkling how much sparkling water would you need to mix with 9 quarts of grape juice

Answer 1

Answer: 18 quarts

Step-by-step explanation:

As per given,

Quantity of sparkling juice is proportional to quantity of course with grape juice.

Given: A free cable sparkling juice calls for $1\dfrac12$ quarters of sparkling water and $\dfrac34$ course with grape juice .

Let x be the quantity of sparkling water need to mix with 9 quarts of grape juice.

then, by equation of direct proportion , we have

$\dfrac{1\dfrac12}{\dfrac34}=\dfrac{x}{9}\\\\\Rightarrow\dfrac{\dfrac{3}{2}}{\dfrac{3}{4}}=\dfrac{x}{9}\\\\\Rightarrow\ \dfrac21=\dfrac{x}{9}\\\\\Rightarrow\ x=9\times2\\\\\Rightarrow\ x=18$

Hence, the quantity of sparkling water need to mix with 9 quarts of grape juice = 18 quarts