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 given quantities from their respective units to liters.
1 quart is approximately 0.946 liters.
2 quarts orange juice = 2 * 0.946 = 1.892 liters.
1 cup is approximately 0.2366 liters.
3 cups cranberry juice = 3 * 0.2366 = 0.7098 liters.
1 gallon is approximately 3.7854 liters.
1 gallon ginger ale = 1 * 3.7854 = 3.7854 liters.
1 pint is approximately 0.4732 liters.
1 pint pineapple juice = 0.4732 liters.
Total amount of liquid needed:
1.892 liters + 0.7098 liters + 3.7854 liters + 0.4732 liters = 6.8604 liters.
Since 6.8604 liters is less than the 8-liter bowl capacity, 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:
8 liters - 6.8604 liters = 1.1396 liters.
Therefore, Roger can still fit approximately 1.1 liters of liquid into the bowl.