58% of 450 - ? % of 250 = 181

Options

A. 34
B. 30
C. 32
D. 48

Explanation

To solve the equation \( 58\% \text{ of } 450 - ?\% \text{ of } 250 = 181 \), we will follow these steps:

### Step 1: Convert percentages to fractions
We start by converting the percentages into fractions:
\[ 58\% = \frac{58}{100} \quad \text{and} \quad ?\% = \frac{x}{100} \]
Thus, we can rewrite the equation as:
\[ \frac{58}{100} \times 450 - \frac{x}{100} \times 250 = 181 \]

### Step 2: Simplify the equation
Now, we simplify the left-hand side:
\[ \frac{58 \times 450}{100} - \frac{x \times 250}{100} = 181 \]
This simplifies to:
\[ \frac{26100}{100} - \frac{250x}{100} = 181 \]
Which further simplifies to:
\[ 261 - 2.5x = 181 \]

### Step 3: Isolate the variable
Next, we isolate \( x \) by moving \( 2.5x \) to the right side:
\[ 261 - 181 = 2.5x \]
Calculating the left side gives:
\[ 80 = 2.5x \]

### Step 4: Solve for \( x \)
Now, we solve for \( x \) by dividing both sides by \( 2.5 \):
\[ x = \frac{80}{2.5} \]
Calculating this gives:
\[ x = 32 \]

### Final Answer
Thus, the value of \( ? \) is:
\[ \boxed{32} \]

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