A recipe for sparkling grape juice calls for 1 1/2 quarts of sparkling water 3/4 quart of grape juice. Q1: How much sparkling water would you need to mix with 9 quarts juice? Q2: How much grape jucie would you need to mix 15/4 quarts of sparkling water? Q3: How much of each ingredient would you need to make 100 quarts of punch?

1) 18 Quart of Sparkling water need to mix with 9 quart grape juice

2) 15/2 Quart of grape juice required for 15/4 quarts of sparkling water.

3) Quantity of grape juice and sparkling water in 100 quart of punch are 33 1/3 quart and 66 2/3 quart respectively.

Step-by-step explanation:

1 1/2 quarts = 1 + (1/2) = 3/2 quarts

1) water required for 3/4 quart of grape juice = 3/2 quarts

so water required for 1 quart of grape juice = (3/2) : (3/4) = (3/2) * (4/3) = 2 quarts

so water required for 9 quart of grape juice = 9 * 2 = 18 quart

18 Quart of Sparkling water need to mix with 9 quart grape juice

2) From solution of 1,

For 18 quart of Sparkling water, grape juice require = 9 quart

So for 1 quart of Sparkling water, grape juice require = 9:18 = 1/2 Quart

so for 15/4 quart of Sparkling water, grape juice require = 1/2 * 15/4 =

15/2 Quart of grape juice required for 15/4 quarts of sparkling water.

3)

in 1 we calculated that 18 Quart of Sparkling water need to mix with 9 quart grape juice that is 2 quart of Sparkling water need to mix with 1 quart of grape juice.

In other words 1 quart of grape juice + 2 quart of sparkling water is 3 quart of punch.

Quantity of Grape juice in 3 quart of punch = 1 quart

so quantity of grape juice in 1 quart of punch = 1/3 quart

And quantity of grape juice in 100 quart of punch = 100 * (1/3) = 100/3 =

33 1/3

Quantity of sparkling water in 3 quart of punch = 2 quart

so quantity of sparkling water in 1 quart of punch = 2/3 quart

And quantity of sparkling water in 100 quart of punch = 100 * 2/3 quart = 66 2/3