A punch recipe 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?
2.5 gallons = 320 oz
punch : grape juice = 64 : 16 = 320 : g
64/16 = 320/g
4 = 320/g
4g = 320
g = 80
it would take 80 oz of grape juice
number of quarts = 80/32 = 2.5 quarts
(Editorial: Go metric to avoid such silly calculations)
To find out how many quarts of grape juice are required for 2 1/2 gallons of punch, we need to first determine the number of ounces in 2 1/2 gallons.
1 gallon = 128 ounces
So, 2 1/2 gallons = 2.5 * 128 = 320 ounces.
Now, we know that for a half gallon (64 oz) of punch, one pint (16 oz) of grape juice is required.
Therefore, for 320 ounces of punch, we divide 320 by 64 and multiply it by 16 to find how many ounces of grape juice are needed.
320 / 64 * 16 = 80 * 16 = 1280 ounces of grape juice.
Next, we need to convert ounces into quarts.
1 quart = 32 ounces.
So, to find the number of quarts, we divide 1280 by 32.
1280 / 32 = 40 quarts.
Therefore, for 2 1/2 gallons of punch, 40 quarts of grape juice are required.
To find out how many quarts of grape juice are required for 2 1/2 gallons of punch, we'll first convert the gallon measurement to ounces.
1 gallon = 128 ounces
So, 2 1/2 gallons would be:
2.5 gallons * 128 ounces/gallon = 320 ounces
Now that we have the total number of ounces required of punch, we need to determine the amount of grape juice needed for this quantity.
The original recipe states that 64 ounces of punch requires 16 ounces of grape juice.
To figure out how many quarts of grape juice are required for 320 ounces of punch, we can set up a proportion:
(16 oz grape juice) / (64 oz punch) = (x quarts grape juice) / (320 oz punch)
Cross-multiplying:
16 oz grape juice * 320 oz punch = 64 oz punch * x quarts grape juice
Simplifying:
x quarts grape juice = (16 oz grape juice * 320 oz punch) / (64 oz punch)
x quarts grape juice = 80 oz
Now, we need to convert 80 ounces to quarts:
1 quart = 32 ounces
So, 80 ounces of grape juice is equivalent to:
80 oz / 32 oz/quart = 2.5 quarts
Therefore, 2 1/2 gallons of punch would require 2.5 quarts of grape juice.