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 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. Show your work.
To determine if Roger can use the 8-liter bowl to mix all the ingredients for the punch, we need to convert the quantities of each ingredient from their given units to liters.
Given measurement equivalents:
- 1 liter ≈ 4.23 cups
- 1 liter ≈ 2.11 pints
- 1 liter ≈ 1.06 quarts
- 1 liter ≈ 0.26 gallons
Now let's convert the quantities of each ingredient:
1. Orange juice:
2 quarts × 1.06 liters/quart ≈ 2.12 liters
2. Cranberry juice:
3 cups × 0.25 liters/cup ≈ 0.75 liters
3. Ginger ale:
1 gallon × 3.79 liters/gallon ≈ 3.79 liters
4. Pineapple juice:
1 pint × 0.47 liters/pint ≈ 0.47 liters
Now let's add up the quantities of all the ingredients:
2.12 liters + 0.75 liters + 3.79 liters + 0.47 liters = 7.13 liters
According to our calculations, the total quantity of the ingredients comes out to be approximately 7.13 liters. Since this is less than the capacity of the 8-liter bowl, Roger can use the bowl to mix all the ingredients for the punch.