Convert 5.25 quarts qt to liters L Use the conversion factor

Convert 5.25 quarts qt to liters L Use the conversion factors: 1L = 2.11 pt 2pt = 1 qt Select one:

O a. 4.97 L
O b. 5.0 L
O c. 4970 L
O d. 5.57 L
Clear my choice

The Correct Answer and Explanation is:

To convert 5.25 quarts (qt) to liters (L), we are given the following conversion factors:

• 2 pints (pt) = 1 quart (qt)
• 1 liter (L) = 2.11 pints (pt)

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Step-by-step Conversion:

Step 1: Convert quarts to pints
Since 1 quart = 2 pints,

$$
5.25 \, \text{qt} \times 2 \, \text{pt/qt} = 10.5 \, \text{pt}
$$

Step 2: Convert pints to liters
Given that 1 L = 2.11 pt, we convert pints to liters by dividing:

$$
10.5 \, \text{pt} \div 2.11 \, \text{pt/L} = 4.974 \, \text{L (approximately)}
$$

Step 3: Round to two decimal places (if needed)

$$
4.974 \approx 4.97 \, \text{L}
$$

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Correct Answer:

a. 4.97 L

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Explanation (300+ words):

When converting between units of volume, it’s important to follow the conversion pathway correctly and in the right order. In this problem, we start with quarts (qt) and aim to find the equivalent in liters (L). Because there isn’t a direct conversion from quarts to liters in the given data, we first convert quarts to pints and then pints to liters.

The first step is understanding the relationship between quarts and pints. The conversion factor tells us that 1 quart is equal to 2 pints. So, to find out how many pints are in 5.25 quarts, we multiply 5.25 by 2, which gives us 10.5 pints.

Next, we use the second conversion factor: 1 liter = 2.11 pints. Since 1 liter contains 2.11 pints, to convert pints to liters, we divide the number of pints (10.5) by 2.11. This gives us approximately 4.974 liters.

Precision is crucial in nursing, pharmacy, and other healthcare applications where unit conversions affect medication dosages or fluid management. Rounding should be done based on the context and directions provided. In this case, we round 4.974 to 4.97 L.

Among the choices:

• 5.0 L is close but rounded less precisely.
• 5.57 L is an overestimate.
• 4970 L is a huge overestimate (probably a misreading of 4.970).
• 4.97 L is the accurate result.

Therefore, the correct answer is:

a. 4.97 L ✅