Find the approximate value of (?) in the following questions.
34.99% of 2499 - 17.97% of 3599 `= ({(?)^(2) + 4.99})/(3.03)`

Options

A. 18
B. 26
C. 22
D. 28

Answer

To solve the equation \( 34.99\% \text{ of } 2499 - 17.97\% \text{ of } 3599 = \frac{(?)^2 + 4.99}{3.03} \), we will follow these steps:

### Step 1: Approximate the percentages
We can approximate \( 34.99\% \) as \( 35\% \) and \( 17.97\% \) as \( 18\% \) for easier calculations.

### Step 2: Convert percentages to decimals
Now, we will convert these percentages to decimals:
- \( 35\% = \frac{35}{100} \)
- \( 18\% = \frac{18}{100} \)

### Step 3: Substitute the approximations
Substituting these values into the equation, we get:
\[ \frac{35}{100} \times 2500 - \frac{18}{100} \times 3600 \]

### Step 4: Calculate each term
Calculating \( 35\% \text{ of } 2500 \):
\[ \frac{35}{100} \times 2500 = 875 \]
Calculating \( 18\% \text{ of } 3600 \):
\[ \frac{18}{100} \times 3600 = 648 \]

### Step 5: Subtract the two results
Now, we subtract the two results:
\[ 875 - 648 = 227 \]

### Step 6: Set up the equation
Now we have:
\[ 227 = \frac{(?)^2 + 4.99}{3.03} \]

### Step 7: Multiply both sides by 3.03
To eliminate the fraction, we multiply both sides by \( 3.03 \):
\[ 227 \times 3.03 = (?)^2 + 4.99 \]

### Step 8: Calculate \( 227 \times 3.03 \)
Calculating this gives:
\[ 227 \times 3.03 \approx 688.41 \]

### Step 9: Rearrange the equation
Now we rearrange the equation to isolate \( (?)^2 \):
\[ (?)^2 = 688.41 - 4.99 \]
\[ (?)^2 \approx 683.42 \]

### Step 10: Take the square root
Now we take the square root to find \( ? \):
\[ ? \approx \sqrt{683.42} \approx 26.14 \]

### Final Answer
Since we are looking for an approximate value, we can round it to:
\[ ? \approx 26 \]