The average human body is composed of approximately 160 fluid ounces of blood. How many quarts of blood does the average human body possess? (1 gallon = 4 quarts , 1 pint = 2 cups , 1 cup = 8 fluid ounces , 1 quart = 2 pints).
A
20 quarts
B
3.3 quarts
C
32 quarts
D
5.0 quarts
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1
Identify the given quantity and the desired unit: You have 160 fluid ounces of blood and want to convert this to quarts.
Use the conversion factors provided to relate fluid ounces to quarts. Start by converting fluid ounces to cups using the relation: \(1 \text{ cup} = 8 \text{ fluid ounces}\).
Next, convert cups to pints using the relation: \(1 \text{ pint} = 2 \text{ cups}\).
Then, convert pints to quarts using the relation: \(1 \text{ quart} = 2 \text{ pints}\).
Combine all these conversions into a single calculation: multiply 160 fluid ounces by the conversion factors stepwise to get the volume in quarts, using the formula:
\(160 \ \text{fl oz} \times \frac{1 \ \text{cup}}{8 \ \text{fl oz}} \times \frac{1 \ \text{pint}}{2 \ \text{cups}} \times \frac{1 \ \text{quart}}{2 \ \text{pints}}\).