Roger is planning a party. He needs these ingredients in the following quantities to
make punch:
• 2 quarts orange juice
• 3 cups cranberry juice
• 1 gallon ginger ale
• 1 pint pineapple juice
Roger knows he will need a relatively large container to mix the punch.
Unfortunately, all he can find is a bowl that holds 8 liters of liquid. He is not sure
whether he can fit all of the ingredients in the bowl at the same time.
Use the following measurement equivalents to determine if Roger can use the 8-
liter bowl to mix all the ingredients for the punch. Show your work.
If he can use the bowl, he needs to determine how many liters of liquid could still
fit into the bowl. If he cannot use the bowl, he needs to determine how many extra
liters of liquid there are. Round your answers to the nearest tenth of a liter.
1 liter is about 4.23 cups, 2.11 pints, 1.06 quarts, and 0.26 gallons
To determine if Roger can use the 8-liter bowl to mix all the ingredients for the punch, we need to convert the quantities of each ingredient to liters.
- 2 quarts of orange juice is approximately 2.11 liters (2 quarts * 1.06 liters/quart).
- 3 cups of cranberry juice is approximately 0.71 liters (3 cups * 0.24 liters/cup).
- 1 gallon of ginger ale is approximately 3.79 liters (1 gallon * 3.79 liters/gallon).
- 1 pint of pineapple juice is approximately 0.47 liters (1 pint * 0.47 liters/pint).
Total amount of liquid needed for the punch:
2.11 liters + 0.71 liters + 3.79 liters + 0.47 liters = 7.08 liters
Since the total amount of liquid needed is 7.08 liters and the 8-liter bowl can hold 8 liters, Roger can use the bowl to mix all the ingredients for the punch.
To determine how many liters of liquid could still fit into the bowl, subtract the total amount of liquid needed from the bowl's capacity:
8 liters - 7.08 liters = 0.92 liters
Therefore, approximately 0.92 liters of liquid could still fit into the bowl.