To find the ratios, we need to convert all the measurements to a common unit.
1 gallon = 4 quarts
1 quart = 2 pints
Given:
Orange juice = 2 gallons
Cranberry juice = 6 quarts
Apple juice = 10 pints
Lemon juice = 16 ounces
Converting the units:
Orange juice = 2 * 4 quarts = 8 quarts
Cranberry juice = 6 quarts
Apple juice = 10 * 2 pints = 20 pints
Lemon juice = 16 ounces
Now, let's calculate the ratios:
Orange juice to apple juice:
Ratio = Orange juice / Apple juice = 8 quarts / 20 pints
To simplify this ratio, we need to convert either quarts to pints or pints to quarts. Since 1 pint = 0.5 quarts, we'll convert the pints to quarts:
Ratio = 8 quarts / (20 pints * 0.5 quarts/pint)
= 8 quarts / 10 quarts
= 4/5
Therefore, the ratio of Orange juice to apple juice is 4/5.
Cranberry juice to apple juice:
Ratio = Cranberry juice / Apple juice = 6 quarts / 20 pints
Converting pints to quarts:
Ratio = 6 quarts / (20 pints * 0.5 quarts/pint)
= 6 quarts / 10 quarts
= 3/5
Therefore, the ratio of Cranberry juice to apple juice is 3/5.
Apple juice to lemon juice:
Ratio = Apple juice / Lemon juice = 20 pints / 16 ounces
Converting pints to ounces:
Ratio = (20 pints * 16 ounces/quart) / 16 ounces
= 320 ounces / 16 ounces
= 320/16
= 20
Therefore, the ratio of Apple juice to lemon juice is 20.
Cranberry juice to orange juice:
Ratio = Cranberry juice / Orange juice = 6 quarts / 8 quarts
Simplifying the ratio:
Ratio = 6/8
= 3/4
Therefore, the ratio of Cranberry juice to Orange juice is 3/4.
Lemon juice to orange juice:
Ratio = Lemon juice / Orange juice = 16 ounces / 8 quarts
Converting ounces to quarts:
Ratio = (16 ounces * 1 quart/32 ounces) / 8 quarts
= 0.5 quarts / 8 quarts
= 0.5/8
= 1/16
Therefore, the ratio of Lemon juice to orange juice is 1/16.