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 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
conversion ratio 1 kilogram = about 2.2 pounds to determine the correct answer.
Show your work.
Roger discovers 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.
Roger is curious to know the total weight of all four sandwich fillings he bought. He
weighs it twice, once using ounces and once using grams. If 16 ounces = 1 pound
and 1,000 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
To determine if Roger can fit all the ingredients in the 8-liter bowl, we need to convert the quantities of the ingredients into liters.
1 quart = 0.946 liters
2 quarts orange juice = 2 * 0.946 = 1.892 liters
1 gallon = 3.785 liters
1 gallon ginger ale = 1 * 3.785 = 3.785 liters
1 pint = 0.473 liters
1 pint pineapple juice = 1 * 0.473 = 0.473 liters
Now, let's calculate the total volume of the ingredients:
1.892 + 3 + 3.785 + 0.473 = 9.15 liters
Since the total volume of the ingredients is greater than the capacity of the bowl (8 liters), Roger cannot fit all the ingredients in the bowl at the same time. There would be an extra 9.15 - 8 = 1.15 liters of liquid.
To determine if Roger purchased more turkey or more cheese, we need to convert the quantities to the same unit of measurement (pounds).
1.5 kilograms = 1.5 * 2.2 = 3.3 pounds
1.25 kilograms = 1.25 * 2.2 = 2.75 pounds
Since 2.75 pounds is less than 3.3 pounds, Roger purchased more turkey than cheese.
To find the amount of chicken that weighs more than the beef but less than the turkey, we need to first convert the weights of the beef and turkey to pounds.
1.25 kilograms = 1.25 * 2.2 = 2.75 pounds
Since the chicken should weigh more than 2.75 pounds and less than 3.3 pounds, an acceptable weight could be 3 pounds.
To determine whether the total weight of the sandwich fillings would be greater in ounces or kilograms, we need to convert all the weights to the same unit of measurement.
1 kilogram = 2.2 pounds
1 pound = 16 ounces
Total weight of sandwich fillings in ounces: 2.75 + 3.3 + 2.25 * 16 = 2.75 + 3.3 + 36 = 42.05 ounces
Total weight of sandwich fillings in kilograms: 1.5 + 1.25 + 2.25 = 4 kilograms
Since 42.05 ounces is greater than 4 kilograms, the total weight of the sandwich fillings would be a greater number of ounces.
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 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
conversion ratio 1 kilogram = about 2.2 pounds to determine the correct answer.
Show your work.
Roger discovers 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.
Roger is curious to know the total weight of all four sandwich fillings he bought. He
weighs it twice, once using ounces and once using grams. If 16 ounces = 1 pound
and 1,000 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
To determine if all the ingredients can fit in the 8-liter bowl, we need to convert the quantities to liters:
2 quarts orange juice = 2 * 0.946 = 1.892 liters
3 cups cranberry juice = 3 * 4.23 / 4.23 = 3 liters
1 gallon ginger ale = 1 * 3.785 = 3.785 liters
1 pint pineapple juice = 1 * 0.473 = 0.473 liters
Total volume of the ingredients: 1.892 + 3 + 3.785 + 0.473 = 8.15 liters
Since the total volume of the ingredients is greater than the capacity of the bowl (8 liters), Roger cannot fit all the ingredients in the bowl at the same time. There would be an extra 8.15 - 8 = 0.15 liters of liquid.
To determine if Roger purchased more turkey or more cheese, we need to compare their weights. Using the conversion ratio:
1.5 kilograms of turkey = 1.5 * 2.2 = 3.3 pounds
1.25 kilograms of beef = 1.25 * 2.2 = 2.75 pounds
Roger purchased more turkey (3.3 pounds) than cheese (2.25 pounds).
To find the weight of the chicken that weighs more than the beef (2.75 pounds) but less than the turkey (3.3 pounds), the chicken could weigh around 2.76 to 3.29 pounds (rounded to the nearest hundredth).
To compare the total weight of the sandwich fillings in ounces and kilograms, we need to convert the weights to the respective units:
1 pound = 16 ounces
1 kilogram = 1000 grams
Total weight in ounces: 2.75 + 3.3 + 2.25 * 16 = 2.75 + 3.3 + 36 = 42.05 ounces
Total weight in kilograms: 1.5 + 1.25 + 2.25 = 4 kilograms
Since 42.05 ounces is greater than 4 kilograms, the total weight of the sandwich fillings would be a greater number of ounces.
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 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
conversion ratio 1 kilogram = about 2.2 pounds to determine the correct answer.
Show your work.
Roger discovers 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.
Roger is curious to know the total weight of all four sandwich fillings he bought. He
weighs it twice, once using ounces and once using grams. If 16 ounces = 1 pound
and 1,000 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 tells you to multiply with these numbers 4.23 cups, 2.11 pints, 1.06 quarts, and 0.26 gallons
Apologies for the confusion. Let's calculate the quantities of ingredients in liters using the given conversion rates:
2 quarts orange juice = 2 * 1.06 = 2.12 liters
3 cups cranberry juice = 3 * 4.23 / 1 = 12.69 liters
1 gallon ginger ale = 1 * 3.78 = 3.78 liters
1 pint pineapple juice = 1 * 0.47 = 0.47 liters
Total volume of the ingredients: 2.12 + 12.69 + 3.78 + 0.47 = 19.06 liters
Since the total volume of the ingredients is greater than the capacity of the bowl (8 liters), Roger cannot fit all the ingredients in the bowl at the same time. The extra liters of liquid would be 19.06 - 8 = 11.06 liters.
Now let's move on to question 2:
Using the conversion ratio of 1 kilogram = 2.2 pounds:
1.5 kilograms of turkey = 1.5 * 2.2 = 3.3 pounds
1.25 kilograms of beef = 1.25 * 2.2 = 2.75 pounds
Roger purchased more turkey (3.3 pounds) than cheese (2.25 pounds).
For the weight of the chicken, it needs to weigh more than 2.75 pounds (beef) and less than 3.3 pounds (turkey). So an acceptable weight for the chicken could be anywhere from 2.76 to 3.29 pounds (rounded to the nearest hundredth).
Finally, let's compare the total weight of the sandwich fillings in ounces and kilograms:
Total weight in ounces: 2.75 + 3.3 + 2.25 * 16 = 2.75 + 3.3 + 36 = 42.05 ounces
Total weight in kilograms: 1.5 + 1.25 + 2.25 = 4 kilograms
Since 42.05 ounces is greater than 4 kilograms, the total weight of the sandwich fillings would be a greater number of ounces.
i quit you don't follow what the flip this question is telling you
Apologies for any frustration caused. Let's go through the questions again and provide the correct answers:
Question 1: Can Roger fit all the ingredients in the 8-liter bowl?
To check if all the ingredients can fit in the 8-liter bowl, let's convert the quantities of each ingredient into liters:
2 quarts orange juice = 2 * 0.946 = 1.892 liters
3 cups cranberry juice = 3 * 4.23 / 1 = 12.69 fluid ounces = 0.375 liters (rounded to 3 decimal places)
1 gallon ginger ale = 1 * 3.785 = 3.785 liters
1 pint pineapple juice = 1 * 0.473 = 0.473 liters
Total volume of the ingredients: 1.892 + 0.375 + 3.785 + 0.473 = 6.525 liters
Since the total volume of the ingredients is less than the capacity of the bowl (8 liters), Roger can fit all the ingredients in the 8-liter bowl.
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:
8 - 6.525 = 1.475 liters
Therefore, 1.475 liters of liquid could still fit into the bowl.
Question 2: Did Roger purchase more turkey or more cheese?
Using the conversion ratio 1 kilogram = about 2.2 pounds:
1.5 kilograms of turkey = 1.5 * 2.2 = 3.3 pounds
2.25 pounds of cheese = 2.25 pounds
Roger purchased more turkey (3.3 pounds) than cheese (2.25 pounds).
I hope this clears up any confusion. Let me know if you have any more questions.