The Correct Answer and Explanation is:
The correct answer is 232.5 gallons.
To solve this problem, we need to convert 930 quarts into gallons using the specific conversion factors provided in the image. The problem explicitly states that only the listed factors should be used to ensure the correct answer.
The first step is to carefully examine the table of conversions to find the relationship between quarts and gallons. The table provides several different unit conversions for volume. After reviewing the options, we can locate the direct conversion factor needed for this calculation. The relevant line in the table is “1 gallon (gal) = 4 quarts (qt)”. This tells us that one gallon is equivalent to exactly four quarts.
With this information, we can set up the conversion. We are starting with a value in quarts and want to find its equivalent in gallons. Since a gallon is a larger unit of measurement than a quart, we expect our final numerical value to be smaller than 930. To convert from a smaller unit (quarts) to a larger unit (gallons), we need to divide. We will divide the total number of quarts by the number of quarts in one gallon.
The calculation is as follows:
Total Gallons = Total Quarts / (Quarts per Gallon)
Plugging in the numbers from the problem and the conversion table:
Total Gallons = 930 quarts / 4 quarts per gallon
Performing this division gives us the final answer:
930 / 4 = 232.5
Therefore, 930 quarts is equal to 232.5 gallons. It is important to follow the problem’s instructions and use the provided factor, as using a different or more complex conversion path, for instance by converting quarts to pints and then to other units, could introduce unnecessary steps and potential errors. The most direct path using the given information is always the most reliable method.
