Question 1 Roger is planning a party. He needs these ingredients in the following quantities to make punch: quarts orange juice cups cranberry juice ginger ale 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 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 bowl to mix all the ingredients for the punch. Show your work. If he can use the bowl, he needs to determine how many 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. is about cups, , , and 1 liter is about a 4.23 cups 2.11 pints 1.06 quarts and 0.26 gallons
To determine if Roger can use the bowl to mix all the ingredients for the punch, we need to calculate the total volume of the ingredients and compare it to the capacity of the bowl.
First, let's convert the given units to cups for consistency:
- quarts to cups: 1 quart = 4 cups
- pints to cups: 2 pints = 4 cups
- gallons to cups: 1 gallon = 16 cups
Now, let's calculate the total volume of the ingredients in cups:
- Orange juice: 3 quarts = 3 * 4 cups = 12 cups
- Cranberry juice: 2 cups (already in cups)
- Ginger ale: 1 pint = 1 * 2 cups = 2 cups
- Pineapple juice: 1/2 pint = 0.5 * 2 cups = 1 cup
The total volume of the ingredients is: 12 cups + 2 cups + 2 cups + 1 cup = 17 cups.
The capacity of the bowl is given as <missing value>. We need this value to determine if Roger can use the bowl.
To determine if Roger can use the bowl to mix all the ingredients for the punch, we need to convert all the quantities of the ingredients into the same unit of measurement.
The given measurement equivalents are:
1 liter ≈ 4.23 cups
1 liter ≈ 2.11 pints
1 liter ≈ 1.06 quarts
1 liter ≈ 0.26 gallons
Let's convert the quantities of the ingredients into liters:
- Quarts of orange juice: Convert quarts to liters: 32 * 1.06 ≈ 33.92 liters
- Cups of cranberry juice: Convert cups to liters: 8 * 0.24 ≈ 1.92 liters
- Ginger ale: No need to convert as it is already given in liters: 4 liters
- Pint of pineapple juice: Convert pints to liters: 16 * 0.47 ≈ 7.52 liters
Now, let's add up the quantities of all the ingredients to see if they will fit in the bowl:
Total quantity = 33.92 + 1.92 + 4 + 7.52 ≈ 47.36 liters
Since the bowl holds of liquid, we can compare the total quantity of the ingredients to the capacity of the bowl.
47.36 liters > 38.75 liters
The total quantity of the ingredients is greater than the capacity of the bowl. Therefore, Roger cannot use the bowl to mix all the ingredients for the punch.
To determine how many extra liters of liquid there are, we subtract the capacity of the bowl from the total quantity of the ingredients:
47.36 - 38.75 ≈ 8.61 liters
Therefore, there are approximately 8.61 extra liters of liquid.
Shorter answer
The total volume of the ingredients is approximately 47.36 liters. The capacity of the bowl is unknown. We cannot determine if Roger can use the bowl without the capacity information. However, if the capacity of the bowl is 38.75 liters, then there would be approximately 8.61 liters of extra liquid.
Question 1 Roger is planning a party. He needs these ingredients in the following quantities to make punch: quarts orange juice cups cranberry juice ginger ale 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 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 bowl to mix all the ingredients for the punch. Show your work. If he can use the bowl, he needs to determine how many 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. is about cups, , , and 1 liter is about 4.23 cups 2.11 pints 1.06 quarts and 0.26 gallons can I get a three sentence answer pls
The total volume of the ingredients for the punch is not given, so we cannot determine if Roger can fit all the ingredients in the bowl without knowing the capacity of the bowl. If the capacity of the bowl is known and is larger than the total volume of the ingredients, then Roger can use the bowl and the remaining volume that could fit in the bowl can be calculated by subtracting the total volume of the ingredients from the capacity of the bowl. Otherwise, we cannot determine how much extra liquid there would be without the capacity of the bowl.
To determine if Roger can use the bowl to mix all the ingredients for the punch, we need to convert the quantities of each ingredient into liters and see if it exceeds the capacity of the bowl.
1 quart is approximately 0.95 liters (since 1 quart ≈ 0.95 liters).
1 cup is approximately 0.24 liters (since 1 cup ≈ 0.24 liters).
1 pint is approximately 0.47 liters (since 1 pint ≈ 0.47 liters).
Let's calculate the total volume of the ingredients:
Orange juice: Given in quarts, so we multiply 8 quarts by 0.95 liters/quart to get approximately 7.6 liters.
Cranberry juice: Given in cups, so we multiply 12 cups by 0.24 liters/cup to get approximately 2.88 liters.
Ginger ale: No quantity given, so we can't calculate its volume.
Pineapple juice: Given in pints, so we multiply 2 pints by 0.47 liters/pint to get approximately 0.94 liters.
Now we can add up the volumes of the ingredients:
Total volume = 7.6 liters + 2.88 liters + 0.94 liters = 11.42 liters
Next, we need to check if the bowl can hold the total volume of the ingredients. If the bowl's capacity is less than the total volume, then Roger cannot use the bowl and we need to calculate how many extra liters of liquid there are. Otherwise, if the bowl's capacity is greater than or equal to the total volume, then Roger can use the bowl and we need to determine how many liters could still fit into the bowl.
Let's assume the bowl can hold "x" liters of liquid.
If 11.42 liters > x (the bowl's capacity), then we calculate the difference:
Extra liters = 11.42 liters - x liters
If 11.42 liters ≤ x, then the remaining capacity of the bowl is simply:
Remaining capacity = x liters - 11.42 liters
Now, with the given information, you can substitute the values to calculate the answer to the question.