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

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\frac12` quarters of sparkling water and
`\frac34` 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

`(1\frac12)/(\frac34)=(x)/(9)\\\\\Rightarrow((3)/(2))/((3)/(4))=(x)/(9)\\\\\Rightarrow\ \frac21=(x)/(9)\\\\\Rightarrow\ x=9*2\\\\\Rightarrow\ x=18`

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