Converting Between Systems Portfolio
Use what you have learned about converting between metric and imperial measurements to answer the questions.
Question 1
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 the ingredients to liters and then add them up.
First, let's convert the quantities given:
- 2 quarts orange juice: 2 quarts x 1.06 liters/quart = 2.12 liters
- 3 cups cranberry juice: 3 cups x 0.24 liters/cup = 0.72 liters
- 1 gallon ginger ale: 1 gallon x 3.79 liters/gallon = 3.79 liters
- 1 pint pineapple juice: 1 pint x 0.47 liters/pint = 0.47 liters
Now, let's add up the converted quantities:
2.12 liters + 0.72 liters + 3.79 liters + 0.47 liters = 7.1 liters
Since the total quantity of the ingredients is 7.1 liters, 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, subtract the total quantity of the ingredients from the bowl's capacity:
8 liters - 7.1 liters = 0.9 liters
Therefore, there are 0.9 liters of space left in the bowl for Roger to add more liquid or for any overflow of the ingredients.