Answer:
2 quarts apple juice and 8 cups cranberry juice
9 cups apple juice and 3 pints cranberry juice
Step-by-step explanation:
We can easily obtain the answer by converting all the volumes to the same unit and comparing each of them, to see if they can make up to a gallon.
1). 6 pints apple juice and 6 cups cranberry juice
Let us convert pints and cups to gallons
1 pint = 0.125 gallons
6 pints = 6 X 0.125 = 0.75 gallons
1 cup = 0.0625 gallons
6 cups = 6 X 0.0625 =0.375 gallons
Total juice got from here is 0.75 +0.375 = 1.125gallons.
This cannot fit into the one-gallon pitcher as it is more in volume than a gallon.
2) 2 quarts apple juice and 8 cups cranberry juice.
2 quarts = 0.5 gallons
8 cups = 0.5 gallons.
Total juice got here is 0.5 + 0.5 = 1 gallon.
This can fit into the 1-gallon pitcher
3). 5 pints of apple juice and 2 quarts of cranberry juice
5 pint = 0.625 gallons
2 quarts = 0.5 gallons
Total juice got here is 0.625+ 0.5 = 1.125 gallon
This cannot fit into the 1-gallon pitcher
4). 9 cups of apple juice and 3 pints of cranberry juice
9 cups = 0.5625 gallons.
3 pints = 0.375 gallons
Total juice got here is 0.5625 + 0.375 = 0.9375 gallons.
This can fit into the 1-gallon pitcher because it is of less volume.
Hence, only these combination of drinks can fit into the 1-gallon pitcher:
2 quarts apple juice and 8 cups cranberry juice
9 cups apple juice and 3 pints cranberry juice
