Final answer:
The question addresses the mathematical concept of proportions and unit conversion in the context of preparing a cleaning solution with a specific ratio of cleaning liquid to water.
Step-by-step explanation:
The question involves a practical application of mathematics to determine the necessary amounts of cleaning liquid and water for a cleaning task. To prepare the required cleaning solution, you look at the ratio provided in the instructions, which is 1/2 gallon of cleaning liquid for every 6 gallons of water. To convert gallons to quarts, you multiply the number of gallons by 4, because there are 4 quarts in a gallon.
Let's say you have to prepare 3 gallons of the cleaning solution. Since 1 gallon is equal to 4 quarts, you would multiply 3 by 4 to find out how many quarts you get. So, for 3 gallons of the combined mixture, you'd have:
- 3 gallons of cleaning solution times 4 equals 12 quarts.
This standard conversion is crucial when preparing a mixture that requires specific proportions.