Use what you have learned about converting between metric and imperial measurements to answer the questions. Question 1 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. Show your work. If he can use the bowl, he needs to determine how many liters of liquid could still fit into the bowl. If he cannot use the bowl, he needs to determine how many extra liters of liquid there are. Round your answers to the nearest tenth of a liter. 1 liter is about 4.23 cups, 2.11 pints, 1.06 quarts, and 0.26 gallons

Question

Use what you have learned about converting between metric and imperial measurements to answer the questions. Question 1 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. Show your work. If he can use the bowl, he needs to determine how many liters of liquid could still fit into the bowl. If he cannot use the bowl, he needs to determine how many extra liters of liquid there are. Round your answers to the nearest tenth of a liter. 1 liter is about 4.23 cups, 2.11 pints, 1.06 quarts, and 0.26 gallons

Answer 1

To determine if Roger can use the 8-liter bowl to mix all the ingredients for the punch, we need to convert the given quantities of each ingredient into liters and add them up.

1 quart is equal to 0.946 liters (1.06 quarts x 0.946 liters/quart)
2 quarts of orange juice is equal to 1.892 liters (2 quarts x 0.946 liters/quart)

1 cup is equal to 0.236 liters (4.23 cups x 0.236 liters/cup)
3 cups of cranberry juice is equal to 0.708 liters (3 cups x 0.236 liters/cup)

1 gallon is equal to 3.785 liters (0.26 gallons x 3.785 liters/gallon)
1 gallon of ginger ale is equal to 3.785 liters (1 gallon x 3.785 liters/gallon)

1 pint is equal to 0.473 liters (2.11 pints x 0.473 liters/pint)
1 pint of pineapple juice is equal to 0.473 liters (1 pint x 0.473 liters/pint)

Adding up all the converted quantities:
1.892 liters (orange juice) + 0.708 liters (cranberry juice) + 3.785 liters (ginger ale) + 0.473 liters (pineapple juice) = 6.858 liters

Since the total quantity of all the ingredients is 6.858 liters, which is less than the 8-liter capacity of the bowl, Roger can use the bowl to mix all the ingredients for the punch.

To determine how many liters of liquid could still fit into the bowl after adding all the ingredients, we subtract the total quantity of the ingredients from the bowl's capacity:
8 liters (bowl's capacity) - 6.858 liters (total quantity of the ingredients) = 1.142 liters

Therefore, there would be approximately 1.1 liters (rounded to the nearest tenth) of space left in the bowl after adding all the ingredients.