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:

Question

• 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.

A. No, the bowl is too small and the ingredients will not all fit.
B. Yes, the bowl is big enough for all the ingredients for Roger's party punch.

Answer 1

To determine if Roger's 8-liter bowl is large enough to hold all the ingredients for his punch, we need to convert all the ingredient quantities into liters and sum them up. Here’s the breakdown of each ingredient:

1. Orange Juice: 2 quarts

   • Using the conversion: 1 quart ≈ 0.946 liters
   • Calculation: 2 quarts × 0.946 liters/quart = 1.892 liters

2. Cranberry Juice: 3 cups

   • Using the conversion: 1 cup ≈ 0.24 liters
   • Calculation: 3 cups × 0.24 liters/cup = 0.72 liters

3. Ginger Ale: 1 gallon

   • Using the conversion: 1 gallon ≈ 3.785 liters
   • Calculation: 1 gallon = 3.785 liters

4. Pineapple Juice: 1 pint

   • Using the conversion: 1 pint ≈ 0.473 liters
   • Calculation: 1 pint = 0.473 liters

Now, let's sum up all the converted quantities:

• Orange Juice: 1.892 liters
• Cranberry Juice: 0.72 liters
• Ginger Ale: 3.785 liters
• Pineapple Juice: 0.473 liters

Total Volume: 1.892 + 0.72 + 3.785 + 0.473 = 7.870 liters

Now we compare the total volume of all the ingredients to the size of Roger's bowl:

• Total volume of ingredients: 7.870 liters
• Size of the bowl: 8 liters

Since 7.870 liters is less than 8 liters, all the ingredients for the party punch will fit in Roger's bowl.

Therefore, the answer is:

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