How much orange juice do you need?

Question

Orange juice and grape juice are mixed in a ratio of 3:5. How much orange juice do you need if you want 24dl of the juice mix?

Answer 1

Hello Emmi

 

The ratio of OJ to Grape juice is 3:5, which constitutes their individual "parts."

 

The "whole" amount is the sum of the individual amounts of both OJ and Grape juice;  3 + 5 = 8

 

The total volume of the juice mixture must equal 24 dl.

 

For OJ,

 

 part

------- x total  => volume of OJ in the mixture

whole

 

3/8 x 24 dl = 9 dl of OJ

 

Perform a similar calculation for Grape juice.

 

5/8 x 24 dl = 15 dl of Grape juice.

 

To confirm the math is correct, the ratio of the volumes of OJ to Grape juice is 9 dl : 15 dl.  Divide both volumes by 3, you get a ratio of 3:5.  In addition, the sum of their volumes, 9 dl + 15 dl = 24 dl, the amount needed.