walt is mixing fruit punch for a party. he combines 1 gallon 2quarts 3 pints of orange juice, 1 gallon 3 quarts 7 pints of pineapple juice,and 1 gallon 3 quarts 3pints of ginger ale.what is the total liquid measure of the punch ?
The correct answer and explanation is:
To calculate the total liquid measure of the punch Walt is making, we need to first convert all the quantities to a consistent unit. In this case, we will use gallons as the base unit. We are given the following amounts of juice:
- Orange juice: 1 gallon 2 quarts 3 pints
- Pineapple juice: 1 gallon 3 quarts 7 pints
- Ginger ale: 1 gallon 3 quarts 3 pints
Step 1: Convert everything to gallons.
We know the following conversions:
- 1 gallon = 4 quarts
- 1 quart = 2 pints
- 1 gallon = 8 pints
Orange juice:
- 1 gallon is already in gallons.
- 2 quarts = 2/4 = 0.5 gallons (since 1 gallon = 4 quarts)
- 3 pints = 3/8 = 0.375 gallons (since 1 gallon = 8 pints)
So, the total for orange juice is: 1+0.5+0.375=1.875 gallons of orange juice1 + 0.5 + 0.375 = 1.875 \text{ gallons of orange juice}
Pineapple juice:
- 1 gallon is already in gallons.
- 3 quarts = 3/4 = 0.75 gallons.
- 7 pints = 7/8 = 0.875 gallons.
So, the total for pineapple juice is: 1+0.75+0.875=2.625 gallons of pineapple juice1 + 0.75 + 0.875 = 2.625 \text{ gallons of pineapple juice}
Ginger ale:
- 1 gallon is already in gallons.
- 3 quarts = 3/4 = 0.75 gallons.
- 3 pints = 3/8 = 0.375 gallons.
So, the total for ginger ale is: 1+0.75+0.375=2.125 gallons of ginger ale1 + 0.75 + 0.375 = 2.125 \text{ gallons of ginger ale}
Step 2: Add up the total gallons.
Now that all quantities are in gallons, we can sum them up: 1.875 (orange juice)+2.625 (pineapple juice)+2.125 (ginger ale)=6.625 gallons of punch1.875 \, (\text{orange juice}) + 2.625 \, (\text{pineapple juice}) + 2.125 \, (\text{ginger ale}) = 6.625 \text{ gallons of punch}
Final Answer:
The total liquid measure of the punch is 6.625 gallons.
Explanation:
This problem required converting different units of volume (quarts and pints) into gallons, which is the base unit for this calculation. First, we converted each measurement to gallons by using the relationships between gallons, quarts, and pints. Then, by summing up the gallons for each type of liquid, we found the total volume of the punch Walt is preparing.