Sparkling grape juice

Question

How much of each ingredients would you need to make 100 quarts of sparkling grape juice if 1 sparkling grape juice is 1 1/2 quarts of sparkling water and 3/4 quarts of grape juice

Answer 1

1 sparkling juice = 1.5 qts sparkling water + 3/4 qts juice= 2.25 total qts

100 quarts sparkling juice = 100/2.25 = 100(4/9) = 400/9 = 44 4/9 sparkling juices

= 400/9 x 3/2 sparkling water + 400/9 x 3/4 juice

= 200/3 = 66 2/3 qts sparkling water + 100/3 = 33 2/3 qts juice

100 quarts of sparkling grape juice = 66.666...quarts of sparkling water + 33.333...quarts of grape juice

twice as much sparkling water as juice to get sparkling juice

1 1/2 qt = twice 3/4 qt

66 2/3 qts = twice 33 1/3 qts