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{:("Column A" , "500% of a equals 500b.a...

`{:("Column A" , "500% of a equals 500b.a and b are positive ","ColumnB"),(a,,b):}`

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 analyze the equation given in Column A and compare it with Column B. ### Step-by-Step Solution: 1. **Understanding the Problem**: We are given that 500% of A equals 500 times B. We can write this mathematically as: \[ 500\% \text{ of } A = 500 \times B \] 2. **Convert Percentage to Decimal**: Recall that 500% can be converted to a decimal by dividing by 100: \[ 500\% = \frac{500}{100} = 5 \] Therefore, we can rewrite the equation as: \[ 5A = 500B \] 3. **Simplifying the Equation**: To simplify this equation, we can divide both sides by 5: \[ A = 100B \] 4. **Analyzing the Relationship**: From the equation \(A = 100B\), we can see that A is 100 times B. Since both A and B are positive (as given in the problem), it follows that: \[ A > B \] 5. **Conclusion**: Therefore, we conclude that A is larger than B. ### Final Answer: - **Column A**: A is larger than B.
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