A punch recipe calls for half gallon (64 oz) of punch requires one pint (16 oz) of grape juice. How many quarts (1 qt = 32 oz) of grape juice are required for 2 1/2 gallons of punch?

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64 punch 64*5 punch

------- = ----------
16 grape x oz grape

x = 5*16 = 80 oz grape

80 oz * 1 quart/32 oz = 2.5 quarts

Or just figure out it is one quart per gallon in the first place :)

To determine how many quarts of grape juice are required for 2 1/2 gallons of punch, we need to convert the measurements and calculate the amount.

1. First, let's convert the given measurements to the same unit. We have a half gallon (64 oz) of punch, which is equal to 2 quarts (since 1 gallon = 4 quarts). And we have one pint (16 oz) of grape juice, which is equal to 0.5 quarts (since 1 quart = 2 pints).

2. Now, let's calculate the amount of grape juice needed for 1 gallon of punch. Since 2 quarts of punch requires 0.5 quarts of grape juice, we can set up a proportion:

2 quarts punch / 0.5 quarts grape juice = 1 gallon punch / X quarts grape juice

Solving for X gives us:
X = (1 gallon punch * 0.5 quarts grape juice) / 2 quarts punch
X = 0.25 quarts grape juice

Therefore, 1 gallon of punch requires 0.25 quarts of grape juice.

3. Finally, we can calculate the amount of grape juice needed for 2 1/2 gallons of punch. Since we know that 1 gallon of punch requires 0.25 quarts of grape juice, we can multiply the required amount by 2.5 (2 1/2):

0.25 quarts grape juice per gallon * 2.5 gallons punch = 0.625 quarts grape juice

So, 2 1/2 gallons of punch would require 0.625 quarts (or approximately 5/8 quart) of grape juice.