Roger is planning a party. He needs these ingredients in the following quantities to make punch:
2 quarts of orange juice, 3 cups of cranberry juice, 1 gallon of ginger ale, 1 pint of pineapple juice,
Roger knows he will need a relatively larger 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 ingredients for the punch. 1 liter is about 4.23 cups, 2.11 pints, 1.06 quarts, and 0.26 gallons. Show your work
b. If Roger can use the bowl 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 answer to the nearest tenth of a liter. Show your work.
To determine if Roger can fit all of the ingredients in the 8-liter bowl, we need to convert the quantities of each ingredient to liters:
2 quarts of orange juice = 2 * 1.06 liters = 2.12 liters
3 cups of cranberry juice = 3 * 0.24 liters = 0.72 liters
1 gallon of ginger ale = 1 * 3.79 liters = 3.79 liters
1 pint of pineapple juice = 1 * 0.47 liters = 0.47 liters
Now we add up the quantities of each ingredient to see if it exceeds 8 liters:
2.12 + 0.72 + 3.79 + 0.47 = 7.1 liters
Since 7.1 liters is less than 8 liters, Roger can use the 8-liter bowl to mix all of the ingredients for the punch.
b. To determine how many liters of liquid could still fit into the bowl, we subtract the total quantity of ingredients from the 8-liter capacity of the bowl:
8 - 7.1 = 0.9 liters
Therefore, 0.9 liters of liquid could still fit into the bowl.