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{:("Column A" , " ","ColumnB"),(45...

`{:("Column A" , " ","ColumnB"),(45% "of" 90,,90% "of" 45):}`

A

If column A is larger

B

If column B is larger

C

If the columns are equal

D

If there is not enough information to decide

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to compare the values of 45% of 90 (Column A) and 90% of 45 (Column B). Let's calculate each step by step. ### Step 1: Calculate 45% of 90 (Column A) To find 45% of 90, we can use the formula: \[ \text{Percentage} = \left(\frac{\text{Percentage value}}{100}\right) \times \text{Total value} \] So, we calculate: \[ 45\% \text{ of } 90 = \left(\frac{45}{100}\right) \times 90 \] This simplifies to: \[ = \frac{45 \times 90}{100} \] \[ = \frac{4050}{100} = 40.5 \] ### Step 2: Calculate 90% of 45 (Column B) Now, we calculate 90% of 45 using the same formula: \[ 90\% \text{ of } 45 = \left(\frac{90}{100}\right) \times 45 \] This simplifies to: \[ = \frac{90 \times 45}{100} \] \[ = \frac{4050}{100} = 40.5 \] ### Step 3: Compare the Results Now we compare the results from Column A and Column B: - Column A: 45% of 90 = 40.5 - Column B: 90% of 45 = 40.5 Since both values are equal, we conclude that: \[ \text{Column A} = \text{Column B} \] ### Final Conclusion Both columns are equal, so the correct option is: **Option 3: The columns are equal.** ---
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