Question

10 inches of snowfall is equivalent to 1 inch of rainfall. (1 foot = 12 inches)
COLUMN A: The number of inches of rainfall equivalent to 1 food of snowfall
COLUMN B: 1

• A. The quantity in Column A is greater.
• B. The quantity in Column B is greater.
• C. The two quantities are equal.
• D. The relationship cannot be determined from the information given.

Hint:

Set up your conversions clearly as ratios to avoid mistakes. You can write the conversion as a fraction \( \frac{1 \text{ inch rain}}{10 \text{ inches snow}} \) and multiply it by the quantity you want to convert, ensuring the units cancel out properly.

Answer 1

The Correct Option is A

Step 1: Understanding the Concept:
This is a unit conversion problem. We need to convert 1 foot of snowfall into its equivalent in inches of rainfall using the given conversion factors.
Step 2: Detailed Explanation:
Column A: We need to find the rainfall equivalent of 1 foot of snowfall. First, convert 1 foot of snowfall into inches of snowfall. \[ 1 \text{ foot} = 12 \text{ inches} \] So, we have 12 inches of snowfall. Next, use the given ratio to convert inches of snowfall to inches of rainfall. The ratio is 10 inches of snow = 1 inch of rain. This means 1 inch of snow = \( \frac{1}{10} \) inches of rain. Now, we convert our 12 inches of snowfall: \[ 12 \text{ inches of snowfall} = 12 \times \left(\frac{1}{10} \text{ inches of rainfall}\right) = \frac{12}{10} \text{ inches of rainfall} = 1.2 \text{ inches of rainfall} \] So, the quantity in Column A is 1.2.
Column B: The quantity is 1.
Comparison:
We are comparing 1.2 (Column A) with 1 (Column B). Since \(1.2>1\), the quantity in Column A is greater.
Step 3: Final Answer:
One foot of snowfall is equivalent to 1.2 inches of rainfall, which is greater than 1.