Convert to gallons: 14 quarts (Hint: 4 quarts = 1 gallon)
The Correct Answer and Explanation is:
To convert quarts to gallons, it’s essential to understand the conversion factor between these two units of volume. As stated in the hint, there are 4 quarts in 1 gallon. This means that to convert from quarts to gallons, you can divide the number of quarts by 4.
Given the problem, we have 14 quarts. To find the equivalent volume in gallons, you would perform the following calculation:
[
\text{Gallons} = \frac{\text{Quarts}}{4} = \frac{14 \text{ quarts}}{4} = 3.5 \text{ gallons}
]
Thus, 14 quarts is equal to 3.5 gallons.
Detailed Explanation
Understanding Volume Units:
Volume is a measure of the amount of space that a substance (liquid, solid, or gas) occupies. Different regions and industries may use different units for measuring volume. In the United States, common volume measurements include fluid ounces, cups, pints, quarts, and gallons. For example, one gallon equals 4 quarts, and one quart equals 2 pints.
Conversion Factor:
To convert quarts to gallons, we use the fact that 4 quarts make up a gallon. This conversion factor is essential for changing from one unit to another. The equation can be expressed as follows:
- 1 gallon = 4 quarts
- Therefore, to find how many gallons are in a certain number of quarts, you divide the number of quarts by 4.
Practical Application:
Understanding this conversion is useful in various real-life situations, such as cooking, where recipes may require measurements in quarts or gallons. For instance, if you are preparing a large batch of soup and need to convert your ingredient measurements, knowing how to change quarts to gallons can help you accurately scale the recipe.
In summary, converting 14 quarts to gallons involves simple division using the conversion factor of 4 quarts per gallon. Thus, 14 quarts is equal to 3.5 gallons, which illustrates how interrelated volume units can be systematically converted using established relationships.