Question

A recipe for sparkling grape juice calls for 112 quarts of sparkling water and 34 quart of grape juice. How much of each ingredient would you need to make 100 quarts of sparkling grape juice?

Answer 1

9514 1404 393

Answer:

• 76.71 quarts of sparkling water
• 23.29 quarts of grape juice

Explanation:

The ratio of sparkling water to total volume is ...

water : juice = 112 : 34

water : total volume = water : (water +juice) = 112 : (112 +34) = 112/146

Then the amount of 100 quarts of sparkling grape juice that is sparkling water will be ...

water/total = w/100 = 112/146

w = 100(112/146) ≈ 76.71 . . . . quarts of sparkling water

j = 100 -w = 23.29 . . . . . . . . . quarts of grape juice