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 all the ingredients can fit in the 8-liter bowl, we need to convert the quantities of each ingredient to liters.
2 quarts orange juice = 2.12 liters (approximately 2.11 quarts * 1.06 liters/quart)
3 cups cranberry juice = 0.709 liters (approximately 3 cups * 0.236 liters/cup)
0.1 gallon ginger ale = 0.379 liters (approximately 0.1 gallons * 3.79 liters/gallon)
1 pint pineapple juice = 0.473 liters (approximately 1 pint * 0.473 liters/pint)
Now, let's calculate the total volume needed for the punch:
Total volume = 2.12 + 0.709 + 0.379 + 0.473 = 3.691 liters
As the total volume needed is less than the capacity of the bowl (8 liters), all the ingredients can fit in the bowl.
To determine how many liters of liquid could still fit into the bowl, we subtract the total volume needed from the capacity of the bowl:
Available volume = 8 - 3.691 = 4.309 liters
Therefore, approximately 4.3 liters of liquid could still fit into the bowl.