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. 1 liter is about 4.23 cups, 2.11 pints,
1.06 quarts, and 0.26 gallons. Show your work.
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 the ingredients to liters and see if the total volume fits within 8 liters.
First, let's convert the quantities of the ingredients to liters:
- 2 quarts of orange juice = 2 * 1.06 = 2.12 liters
- 3 cups of cranberry juice = 3 * 0.24 = 0.72 liters
- 1 gallon of ginger ale = 1 * 3.79 = 3.79 liters
- 1 pint of pineapple juice = 1 * 0.47 = 0.47 liters
Next, let's add up the volumes of all the ingredients:
2.12 + 0.72 + 3.79 + 0.47 = 7.1 liters
Since 7.1 liters is less than 8 liters, Roger can fit all the ingredients for the punch in the 8-liter bowl.
If Roger 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. Show
your work.
If Roger can use the 8-liter bowl, then the amount of liquid that could still fit into the bowl would be:
8 - 7.1 = 0.9 liters
So, 0.9 liters of liquid could still fit into the bowl.
However, if Roger cannot use the bowl because the total volume of the ingredients exceeds 8 liters, then the extra liters of liquid would be:
7.1 - 8 = -0.9 liters
So, there are -0.9 (or approximately -0.9) extra liters of liquid. This means that Roger would need a larger container to fit all the ingredients.