`{:("Column A" , "3/11 of a number is 23","ColumnB"),("3//5 of the number",,60 % "of the number"):}`

Options

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

Answer

To solve the problem, we need to analyze both Column A and Column B step by step.

### Step 1: Determine the number from Column A
Column A states that \( \frac{3}{11} \) of a number is 23. Let's denote the number as \( x \).

We can write the equation:
\[ \frac{3}{11} x = 23 \]

### Step 2: Solve for \( x \)
To find \( x \), we can multiply both sides of the equation by \( \frac{11}{3} \):
\[ x = 23 \times \frac{11}{3} \]

Calculating the right side:
\[ x = \frac{23 \times 11}{3} = \frac{253}{3} \approx 84.33 \]

### Step 3: Calculate Column A
Now we need to find \( \frac{3}{5} \) of the number \( x \):
\[ \text{Column A} = \frac{3}{5} x = \frac{3}{5} \times \frac{253}{3} \]

The \( 3 \) in the numerator and denominator cancels out:
\[ \text{Column A} = \frac{253}{5} = 50.6 \]

### Step 4: Calculate Column B
Next, we calculate 60% of the number \( x \):
\[ \text{Column B} = 60\% \text{ of } x = \frac{60}{100} x = 0.6 x \]

Substituting the value of \( x \):
\[ \text{Column B} = 0.6 \times \frac{253}{3} \]

Calculating the right side:
\[ \text{Column B} = \frac{0.6 \times 253}{3} = \frac{151.8}{3} = 50.6 \]

### Step 5: Compare Column A and Column B
Now we compare the results from Column A and Column B:
- Column A = 50.6
- Column B = 50.6

Since both columns are equal, we conclude that:
\[ \text{Column A} = \text{Column B} \]

### Final Answer
Both Column A and Column B are equal.

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