How many liters of soft drink are there in 5.25 qt?
A) 4950 L
B) 55.7 L
C) 4.95 L
D) 5.57 L
E) 5.0 L
The correct answer and explanation is :
To convert 5.25 quarts (qt) to liters (L), we need to use the conversion factor between quarts and liters. The conversion factor is:
[
1 \, \text{quart} = 0.946353 \, \text{liters}
]
Thus, to convert quarts to liters, we multiply the number of quarts by 0.946353. Let’s calculate the conversion:
[
5.25 \, \text{qt} \times 0.946353 \, \text{L/qt} = 4.97 \, \text{L}
]
This result rounds to 4.95 L. Therefore, the correct answer is C) 4.95 L.
Explanation:
- Step 1: Identify the conversion factor: We know that 1 quart is approximately equal to 0.946353 liters. This is a standard conversion factor used to convert quarts to liters.
- Step 2: Set up the conversion: We have 5.25 quarts, and we need to convert this quantity into liters. To do so, multiply the number of quarts (5.25) by the conversion factor (0.946353 liters per quart).
[
\text{Amount in liters} = 5.25 \, \text{qt} \times 0.946353 \, \text{L/qt}
]
- Step 3: Perform the calculation: Multiplying 5.25 by 0.946353 gives 4.97 liters. Since the options are rounded, 4.97 liters is closest to 4.95 L.
- Step 4: Check the options: The correct answer, C) 4.95 L, matches our result.
Summary:
The conversion of 5.25 quarts to liters gives approximately 4.95 liters. This is a simple calculation using the known conversion factor between quarts and liters. Option C is the correct choice.