Question

how much grape juice would you need to mix with 15/4 quarts of sparkling water. (a recipe for sparkling grape juice calls for 1 1/2 quarts of sparkling water and 3/4 quart of grape juice)

Answer 1

Answer:

15/8 quarts

Step-by-step explanation:

The recipe calls for 1 1/2 quarts of sparkling water.  This can be written as the improper fraction 3/2 (this is because 1 whole = 2/2; 2/2 + 1/2 = 3/2).

Using 15/4 quarts sparkling water means we used 5/2 times as much as the recipe calls for.  This means we would use 5/2 times the amount of grape juice as well; 5/2(3/4) = 15/8.