58% of 450 - ?% of 250 = 181

Options

A. 44
B. 40
C. 32
D. 38

Answer

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

### Step 1: Convert percentages to decimals
First, we need to convert the percentages into decimal form. We can express \( 58\% \) as \( \frac{58}{100} \) and \( ?\% \) as \( \frac{?}{100} \).

### Step 2: Write the equation
Now we can rewrite the equation:
\[ \frac{58}{100} \times 450 - \frac{?}{100} \times 250 = 181 \]

### Step 3: Calculate \( 58\% \text{ of } 450 \)
Next, we calculate \( 58\% \text{ of } 450 \):
\[ \frac{58}{100} \times 450 = \frac{26100}{100} = 261 \]

### Step 4: Substitute back into the equation
Now substitute this value back into the equation:
\[ 261 - \frac{?}{100} \times 250 = 181 \]

### Step 5: Isolate the term with the question mark
Next, we isolate the term with the question mark:
\[ 261 - 181 = \frac{?}{100} \times 250 \]
\[ 80 = \frac{?}{100} \times 250 \]

### Step 6: Solve for \( ? \)
To solve for \( ? \), we multiply both sides by \( 100 \):
\[ 80 \times 100 = ? \times 250 \]
\[ 8000 = ? \times 250 \]

Now, divide both sides by \( 250 \):
\[ ? = \frac{8000}{250} \]
\[ ? = 32 \]

### Final Answer
Thus, the value of \( ? \) is \( 32 \).

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