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.
If roger can use the bowl, he needs to determine how many liters of liquids could still fit into the bowl. If he cannot use the bowl, he needs to determine how many extra litters of liquids there are. Round your answers to the nearest tenth of a liter. Show your work.
To determine if all the ingredients can fit in the 8-liter bowl, we need to convert the quantities of each ingredient to liters.
2 quarts = 2.12 liters
3 cups = 0.71 liters
1 gallon = 3.79 liters
1 pint = 0.47 liters
Now we can add up the quantities in liters:
2.12 + 0.71 + 3.79 + 0.47 = 7.09 liters
Since 7.09 liters is less than 8 liters, Roger can use the bowl to mix all the ingredients.
To determine how many liters of liquid could still fit in the bowl, we subtract the total quantity of ingredients from the bowl's capacity:
8 - 7.09 = 0.91 liters
Therefore, Roger still has 0.91 liters of space in the bowl.