`25.05% "of" 2845+14.95xx2400=?`

Options

A. 36, 700
B. 36, 500
C. 35800
D. 35600

Explanation

To solve the problem \( 25.05\% \text{ of } 2845 + 14.95 \times 2400 \) using approximation, we will follow these steps:

### Step 1: Round off the percentages
We have \( 25.05\% \) and \( 14.95\% \). According to rounding rules:
- Since \( 0.05 \) is less than \( 0.5 \), we round \( 25.05\% \) down to \( 25\% \).
- Since \( 0.95 \) is greater than \( 0.5 \), we round \( 14.95\% \) up to \( 15\% \).

### Step 2: Calculate \( 25\% \) of \( 2845 \)
To find \( 25\% \) of \( 2845 \):
\[ 25\% \text{ of } 2845 = \frac{25}{100} \times 2845 = \frac{1}{4} \times 2845 = 711.25 \]

### Step 3: Calculate \( 15\% \) of \( 2400 \)
To find \( 15\% \) of \( 2400 \):
\[ 15\% \text{ of } 2400 = \frac{15}{100} \times 2400 = \frac{3}{20} \times 2400 = 360 \]

### Step 4: Add the results from Step 2 and Step 3
Now we add the two results:
\[ 711.25 + 360 = 1071.25 \]

### Step 5: Round the final answer
Since we are looking for an approximate answer, we can round \( 1071.25 \) to the nearest hundred:
- The nearest hundred to \( 1071.25 \) is \( 1100 \).

### Final Answer
Thus, the approximate answer to the equation \( 25.05\% \text{ of } 2845 + 14.95 \times 2400 \) is:
\[ \approx 1100 \]