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
To determine if Roger can fit all the ingredients in the 8-liter bowl, we need to convert the quantities of each ingredient to liters.
- 2 quarts = 2.11 liters
- 3 cups = 0.71 liters
- 1 gallon = 3.79 liters
- 1 pint = 0.47 liters
Now let's add up the liters of each ingredient:
2.11 + 0.71 + 3.79 + 0.47 = 7.08 liters
Since the total volume of the punch ingredients is 7.08 liters, which is less than the capacity of the 8-liter bowl, Roger can use the bowl to mix all the ingredients.
To determine how many liters of liquid could still fit into the bowl, we subtract 7.08 liters from the 8-liter capacity:
8 - 7.08 = 0.92 liters
If Roger can use the bowl, then there would be approximately 0.92 liters of space remaining in the bowl.
To determine if Roger can use the 8-liter bowl to mix all the ingredients for the punch, we need to convert the measurements of the ingredients into liters.
Given conversion factors:
1 liter ≈ 4.23 cups,
1 liter ≈ 2.11 pints,
1 liter ≈ 1.06 quarts,
1 liter ≈ 0.26 gallons.
Converting the quantities of each ingredient:
2 quarts orange juice ≈ 2 * 1.06 ≈ 2.12 liters,
3 cups cranberry juice ≈ 3 / 4.23 ≈ 0.71 liters,
1 gallon ginger ale ≈ 1 * 3.79 ≈ 3.79 liters,
1 pint pineapple juice ≈ 1 / 2.11 ≈ 0.47 liters.
Total volume of the ingredients:
2.12 + 0.71 + 3.79 + 0.47 = 7.09 liters.
Now, we can compare the total volume of ingredients (7.09 liters) with the capacity of the 8-liter bowl.
If the total volume of ingredients is less than or equal to 8 liters, Roger can use the bowl to mix all the ingredients. In this case, the remaining capacity of the bowl would be:
8 - 7.09 = 0.91 liters.
However, if the total volume of ingredients exceeds 8 liters, Roger cannot use the bowl. In this case, the excess amount of liquid would be:
7.09 - 8 = -0.91 liters (negative value indicating the deficit in volume).
In conclusion, if Roger can use the 8-liter bowl, there would be approximately 0.91 liters of space remaining.
are u sure
Apologies for the confusion in my previous response. I made an error in the calculation.
To determine if Roger can use the 8-liter bowl to mix all the ingredients for the punch, we need to convert the measurements of the ingredients into liters.
Given conversion factors:
1 liter ≈ 4.23 cups,
1 liter ≈ 2.11 pints,
1 liter ≈ 1.06 quarts,
1 liter ≈ 0.26 gallons.
Converting the quantities of each ingredient:
2 quarts orange juice ≈ 2 * 1.06 ≈ 2.12 liters,
3 cups cranberry juice ≈ 3 / 4.23 ≈ 0.71 liters,
1 gallon ginger ale ≈ 1 * 3.79 ≈ 3.79 liters,
1 pint pineapple juice ≈ 1 / 2.11 ≈ 0.47 liters.
Total volume of the ingredients:
2.12 + 0.71 + 3.79 + 0.47 = 7.09 liters.
Now, we can compare the total volume of ingredients (7.09 liters) with the capacity of the 8-liter bowl.
If the total volume of ingredients is less than or equal to 8 liters, Roger can use the bowl to mix all the ingredients. In this case, the remaining capacity of the bowl would be:
8 - 7.09 = 0.91 liters.
However, if the total volume of ingredients exceeds 8 liters, Roger cannot use the bowl. In this case, the excess amount of liquid would be:
7.09 - 8 = -0.91 liters (negative value indicating the deficit in volume).
In conclusion, if Roger can use the 8-liter bowl, there would be approximately 0.91 liters of space remaining.
To determine if Roger can use the 8-liter bowl to mix all the ingredients for the punch, we need to convert the measurements given in quarts, cups, gallons, and pints to liters.
Let's start by converting each ingredient quantity to liters:
1 quart = 1.06 liters (approximately)
2 quarts of orange juice = 2.12 liters
1 cup = 0.24 liters (approximately)
3 cups of cranberry juice = 0.72 liters
1 gallon = 3.79 liters (approximately)
1 gallon of ginger ale = 3.79 liters
1 pint = 0.47 liters (approximately)
1 pint of pineapple juice = 0.47 liters
Now let's calculate the total volume of the ingredients in liters:
Total volume = 2.12 liters (orange juice) + 0.72 liters (cranberry juice) + 3.79 liters (ginger ale) + 0.47 liters (pineapple juice)
Total volume = 7.1 liters
Since the total volume of the ingredients is less than 8 liters, Roger can use the 8-liter bowl to mix all the ingredients for the punch.
To determine how many liters of liquid could still fit into the bowl, we subtract the total volume of the ingredients from the bowl's capacity:
Remaining capacity = 8 liters - 7.1 liters
Remaining capacity = 0.9 liters
Therefore, if Roger uses the 8-liter bowl, there would still be approximately 0.9 liters of capacity remaining.
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.