Given :
Juice recipe calls for 1/7 gallons of raw juice to make 1 gallon juice .
To Find :
How much concentrate of raw juice is required if you only need 1/3 gallon of juice .
Solution :
We know , the ratio of raw juice by juice made is constant for both .
Let , the required concentration is x .
So ,
[tex]\dfrac{1}{7\times 1}=\dfrac{x}{\dfrac{1}{3}}\\\\x=\dfrac{1}{7\times 3 }\\\\x=\dfrac{1}{21}[/tex]
Therefore , concentrate of raw juice is required if you only need 1/3 gallon of juice is 1/21 .
Hence , this is the required solution .
