A patient is drinking \(\frac{1}{2}\) pint of orange juice every two hours. At this rate, how many quarts of orange juice will the patient drink in 1 week?

To determine the number of quarts of orange juice that the patient would consume in a week, we need to first determine how many pints are consumed per day and then calculate how many quarts are consumed in a week.

If the patient drinks half a pint every two hours, they will consume 6 pints of orange juice in 24 hours or one day.

Since 1 pint is equal to 0.5 quarts, this is equivalent to 6 x 0.5 = 3 quarts per day.

So, the patient will drink 21 quarts in a week (i.e. 3 quarts per day x 7 days in a week).

The patient will drink 21 quarts of orange juice in a week at the given rate of drinking half a pint every two hours.

Note: The use of the conversion factor of 1 pint = 0.5 quarts is essential to convert the units from pints to quarts.

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