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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. Yes,

1 answer

To determine if Roger's 8-liter bowl can hold all the ingredients for the punch, we need to convert all the ingredient quantities to liters and then sum them.

Here are Roger's ingredient quantities and their equivalents in liters:

  1. Orange Juice: 2 quarts

    • Conversion: 1 quart = 0.946 liters
    • Calculation: \( 2 , \text{quarts} \times 0.946 , \text{liters/quart} = 1.892 , \text{liters} \)

  2. Cranberry Juice: 3 cups

    • Conversion: 1 cup = 0.236 liters
    • Calculation: \( 3 , \text{cups} \times 0.236 , \text{liters/cup} = 0.708 , \text{liters} \)

  3. Ginger Ale: 1 gallon

    • Conversion: 1 gallon = 3.785 liters
    • Calculation: \( 1 , \text{gallon} = 3.785 , \text{liters} \)

  4. Pineapple Juice: 1 pint

    • Conversion: 1 pint = 0.473 liters
    • Calculation: \( 1 , \text{pint} = 0.473 , \text{liters} \)

Now, we sum all these values:

\[ \text{Total volume in liters} = 1.892 , \text{liters} + 0.708 , \text{liters} + 3.785 , \text{liters} + 0.473 , \text{liters} \]

Calculating the total:

\[ \text{Total volume in liters} = 1.892 + 0.708 + 3.785 + 0.473 = 7.858 , \text{liters} \]

Now we compare the total volume of the ingredients to the capacity of the bowl:

  • Bowl capacity: 8 liters
  • Total volume of ingredients: 7.858 liters

Since 7.858 liters is less than 8 liters, the bowl is big enough.

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