Use what you have learned about converting between metric and imperial measurements to answer the questions
Question1
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 ale 1 pineapple juice
Roger knows he will need relatively 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 measurements equivalent to determine if Roger can use the 8 liter bowl to mix all ingredients for 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 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 answer to the nearest tenth of a liter. Show your work.
Question 2
Roger also wants to make sandwiches for his guests. He buys the following sandwich fillings: 1.5 kilograms of turkey, 1.25 kilograms of beef, 2.25 pounds of cheese
Roger wants to know if he purchased more turkey or more cheese. Use the conversation ratio 1 kilogram= 2.2 pounds to determine the correct answer. Show your work
Roger dis overs that he needs to buy some chicken as well. He buys an amount of chicken that weighs more than the beef he bought and less than the turkey he bought. Give an amount in pounds that the chicken could weigh rounded to the nearest hundredth of a pound. Show your work
Roger is curious to know the total weight of all four sandwiches fillings he bought. He weighs the fillings twice, once using ounces and once using grams. If 16 ounces=1 pound and 1000 grams= 1 kilogram will the total weight of the sandwich fillings be a greater number of ounces or a greater number of kilograms? Explain your answer.
Question 1:
To determine if Roger can use the 8 liter bowl to mix all the ingredients, we need to convert the given quantities to liters.
2 quarts orange juice = 1.89 liters (1 quart = 0.95 liters)
3 cups cranberry juice = 0.71 liters (3 cups = 0.71 liters)
1 gallon ale = 3.79 liters (1 gallon = 3.79 liters)
1 pineapple juice = 0.26 liters (1 pint = 0.47 liters)
Total volume of the ingredients = 1.89 + 0.71 + 3.79 + 0.26 = 6.65 liters
Since the total volume is less than 8 liters, Roger can use the 8 liter bowl to mix all the ingredients.
To determine how many liters of liquid could still fit into the bowl, we subtract the total volume of the ingredients from the capacity of the bowl.
Remaining capacity in the bowl = 8 - 6.65 = 1.35 liters
Therefore, if Roger can use the bowl, there will be approximately 1.4 liters of space left.
Question 2:
To determine if Roger purchased more turkey or more cheese, we need to convert the given quantities to the same unit (pounds).
1.5 kilograms of turkey = 3.3 pounds (1 kilogram = 2.2 pounds)
1.25 kilograms of beef = 2.75 pounds (1 kilogram = 2.2 pounds)
2.25 pounds of cheese. (no conversion needed)
Therefore, Roger purchased more turkey (3.3 pounds) than cheese (2.25 pounds).
To determine the possible weight of the chicken that weighs more than the beef but less than the turkey, we can say it is between 2.75 and 3.3 pounds.
Possible weight of the chicken = Between 2.75 and 3.3 pounds.
To determine if the total weight of the sandwich fillings will be a greater number of ounces or kilograms, we need to convert the weights to the same unit (either ounces or kilograms).
Total weight of the sandwich fillings in pounds:
Turkey (3.3 pounds) + Beef (2.75 pounds) + Cheese (2.25 pounds) = 8.3 pounds
Total weight of the sandwich fillings in kilograms:
1.5 kilograms (turkey) + 1.25 kilograms (beef) = 2.75 kilograms
As 1 pound is less than 1 kilogram, the total weight of the sandwich fillings will be a greater number of kilograms.