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Question 2: Use what you have learned about converting between metric and imperial measurements to answer the questions. 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 Will all the ingredients for the party punch fit in Roger's 8 liter bowl? Be sure to work out the problem on paper and use a calculator if needed. (2 points) Responses No, the bowl is too small and the ingredients will not all fit. No, the bowl is too small and the ingredients will not all fit. Yes, the bowl is big enough for all the ingredients for Roger's party punch.

1 answer

To determine if Roger's bowl can hold all the punch ingredients, we first need to convert each ingredient's quantity from imperial measurements to liters, using the provided measurement equivalents.

  1. Orange Juice:

    • 2 quarts.
    • 1 quart is approximately 0.95 liters.
    • 2 quarts × 0.95 liters/quart = 1.90 liters.

  2. Cranberry Juice:

    • 3 cups.
    • 1 cup is approximately 0.24 liters.
    • 3 cups × 0.24 liters/cup = 0.72 liters.

  3. Ginger Ale:

    • 1 gallon.
    • 1 gallon is approximately 3.78 liters.
    • 1 gallon × 3.78 liters/gallon = 3.78 liters.

  4. Pineapple Juice:

    • 1 pint.
    • 1 pint is approximately 0.47 liters.
    • 1 pint × 0.47 liters/pint = 0.47 liters.

Now, we can add up all the converted quantities:

  • Orange Juice: 1.90 liters
  • Cranberry Juice: 0.72 liters
  • Ginger Ale: 3.78 liters
  • Pineapple Juice: 0.47 liters

Total Volume = 1.90 + 0.72 + 3.78 + 0.47 = 6.87 liters

Now, we need to compare the total volume of the ingredients (6.87 liters) to the capacity of Roger's bowl (8 liters):

Since 6.87 liters is less than 8 liters, all the ingredients for the party punch will fit into Roger's 8 liter bowl.

Final answer: Yes, the bowl is big enough for all the ingredients for Roger's party punch.