Roger is planning a party. He needs ingredients to follow quantities to make punch.
2 quarts of orange juice
3 cups cranberry juice
1 gallon ginger ale
One 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 eight letters 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 eight letter bowl to make all the ingredients for punch show your work. If he can use the bowl, he needs to determine how many litters of liquid could still fit into the bowl if you cannot use the bowl he needs to determine how many extra litters of liquid there are rounder answers to the nearest 10th of a litter litter is about 4.23 cups , 2.11 pints, 1.06 quarts, 0.26 gallons
To determine if Roger can use the 8-liter bowl to make all the ingredients for punch, we need to calculate the total volume of the ingredients and compare it to the capacity of the bowl.
First, let's convert all the given quantities to liters:
2 quarts = 2.11 liters
3 cups = 0.71 liters
1 gallon = 3.78 liters
1 pint = 0.47 liters
Now, let's add up the volumes of all the ingredients:
2.11 liters (orange juice) + 0.71 liters (cranberry juice) + 3.78 liters (ginger ale) + 0.47 liters (pineapple juice) = 7.07 liters
The total volume of all the ingredients is 7.07 liters.
Since the capacity of the bowl is 8 liters, Roger can use the bowl to make all the ingredients for punch.
If Roger can use the bowl, then no liters of liquid would be left.
To determine if Roger can use the eight-liter bowl to make all the punch ingredients, we need to convert the quantities of each ingredient to liters and then add them up.
First, let's convert the quantities of each ingredient to liters:
- 2 quarts of orange juice = 1.896 liters (2 x 0.946 = 1.892 liters)
- 3 cups of cranberry juice = 0.709 liters (3 x 0.236 = 0.708 liters)
- 1 gallon of ginger ale = 3.785 liters (1 x 3.785 = 3.785 liters)
- 1 pint of pineapple juice = 0.473 liters (1 x 0.473 = 0.473 liters)
Now, let's add up the converted quantities:
1.896 + 0.708 + 3.785 + 0.473 = 6.862 liters
The sum of all the converted quantities is approximately 6.862 liters. Since 1 liter is smaller than 8 liters, Roger can indeed use the eight-liter bowl to make all the punch ingredients.
To determine how many liters of liquid could still fit into the bowl, we subtract the sum of the converted quantities from the bowl's capacity:
8 - 6.862 = 1.138 liters
Therefore, if Roger uses the eight-liter bowl, he would still have approximately 1.138 liters of space remaining.
Please note that since a liter is approximately 4.23 cups, you could also convert the final answer to cups by multiplying 1.138 liters by 4.23.
To determine if Roger can use the eight-liter bowl to make all the ingredients for punch, let's calculate the total volume of the ingredients and compare it to the capacity of the bowl.
First, we need to convert all the measurements to liters for consistency:
2 quarts * 1.06 liters/quart = 2.12 liters of orange juice
3 cups * 4.23 liters/cup = 12.69 liters of cranberry juice
1 gallon * 3.79 liters/gallon = 3.79 liters of ginger ale
1 pint * 0.47 liters/pint = 0.47 liters of pineapple juice
Now let's add up the volumes of all the ingredients:
2.12 liters + 12.69 liters + 3.79 liters + 0.47 liters = 19.07 liters
Since 19.07 liters is greater than the capacity of the eight-liter bowl, Roger cannot fit all the ingredients into the bowl.
To determine how many extra liters of liquid there are, we subtract the capacity of the bowl from the total volume of the ingredients:
19.07 liters - 8 liters = 11.07 liters
Therefore, if Roger cannot use the eight-liter bowl, there are approximately 11.1 liters of extra liquid.
Please note that the figures are rounded to the nearest tenth of a liter, as per your request.