Question

A triple calls for 1 1/2 quarts sparkling water and 3/4 cup of grape juice. How much of each ingredient would you need to make 100 quarts of punch

Answer 1

150 quarts of sparkling water and 800/3 cups of grape juice to make 100 quarts of punch.

To determine the amount of each ingredient needed to make 100 quarts of punch, you can set up a proportion based on the given ratios.

Let's denote:

x as the amount of sparkling water needed in quarts

y as the amount of grape juice needed in cups

The given ratio for one triple is:

Sparkling water: 3/2 quarts

Grape juice: 3/4 cups

Now, set up the proportion based on the triple ratio and the desired amount of punch (100 quarts):

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`(sparkling water)/(grape juice) =((2)/(3) quarts)/((3)/(4)quarts ) =(x)/(y) =(100 quarts)/(1)`

Cross-multiply to solve for

3y=2×100×4⟹3y=800⟹y= 800/ 3 cups

So, you would need 800/3 cups of grape juice. Now, let's find x:

x= 2/3 ×100⟹x=150quarts

Therefore, you would need 150 quarts of sparkling water and

800/3 cups of grape juice to make 100 quarts of punch.