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.
1 quart is approximately 0.95 liters.
2 quarts of orange juice would be approximately 1.9 liters.
1 cup is approximately 0.24 liters.
3 cups of cranberry juice would be approximately 0.7 liters.
1 gallon is approximately 3.8 liters.
1 gallon of ginger ale would be approximately 3.8 liters.
1 pint is approximately 0.47 liters.
1 pint of pineapple juice would be approximately 0.47 liters.
Now let's add up the quantities:
1.9 liters (orange juice) + 0.7 liters (cranberry juice) + 3.8 liters (ginger ale) + 0.47 liters (pineapple juice) = 6.87 liters
All the ingredients for the punch add up to approximately 6.87 liters.
Since the bowl can hold 8 liters of liquid and the total volume of punch is less than 8 liters, Roger can use the 8-liter bowl to mix all the ingredients.
To determine how many liters of liquid could still fit into the bowl, we subtract the total volume of punch from the bowl's capacity:
8 liters (bowl capacity) - 6.87 liters (total volume of punch) = 1.13 liters
Therefore, if Roger uses the 8-liter bowl, there would be approximately 1.13 liters of free space remaining.
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 and then add them together.
First, let's convert the quantities of each ingredient to liters:
- 2 quarts of orange juice:
2 quarts * 1.06 liters/quart = 2.12 liters
- 3 cups of cranberry juice:
3 cups * 0.24 liters/cup = 0.72 liters
- 1 gallon of ginger ale:
1 gallon * 3.79 liters/gallon = 3.79 liters
- 1 pint of pineapple juice:
1 pint * 0.47 liters/pint = 0.47 liters
Now, let's add up the quantities of all the ingredients in liters:
2.12 liters + 0.72 liters + 3.79 liters + 0.47 liters = 7.1 liters
Since 7.1 liters of liquid are required for the punch and the bowl can hold 8 liters of liquid, Roger can use the 8-liter bowl to mix all the ingredients for the punch.
To determine how many liters of liquid could still fit into the bowl, we subtract the total quantity of liquid for the punch from the bowl's capacity:
8 liters - 7.1 liters = 0.9 liters
Therefore, if Roger uses the 8-liter bowl, he would have approximately 0.9 liters of space left in the bowl.
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 and add them together.
Let's start by converting the quantities of each ingredient to liters:
- 2 quarts orange juice = 2 quarts * 1.06 liters/quart = 2.12 liters
- 3 cups cranberry juice = 3 cups * 0.24 liters/cup = 0.72 liters
- 1 gallon ginger ale = 1 gallon * 3.78 liters/gallon = 3.78 liters
- 1 pint pineapple juice = 1 pint * 0.47 liters/pint = 0.47 liters
Now we can add up all the converted quantities:
2.12 liters (orange juice) + 0.72 liters (cranberry juice) + 3.78 liters (ginger ale) + 0.47 liters (pineapple juice) = 7.09 liters
Since the total quantity of all the ingredients is 7.09 liters, which is less than the 8-liter bowl, 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, we subtract the total quantity of the ingredients from the bowl's capacity:
8 liters (bowl's capacity) - 7.09 liters (total quantity of the ingredients) = 0.91 liters
Therefore, approximately 0.9 liters of liquid could still fit into the 8-liter bowl after mixing all the ingredients for the punch.
Remember to round your answers to the nearest tenth of a liter.