134% of 3894 + 38.94% of 134 = ?

Options

A. 5000
B. 5300
C. 5500
D. 5280

Answer

To solve the question \( 134\% \text{ of } 3894 + 38.94\% \text{ of } 134 \), we can break it down step by step using approximation.

### Step 1: Calculate \( 134\% \text{ of } 3894 \)

First, we convert \( 134\% \) into a decimal:
\[ 134\% = \frac{134}{100} = 1.34 \]
Now, we multiply this by \( 3894 \):
\[ 1.34 \times 3894 \]
For approximation, we can round \( 3894 \) to \( 3900 \):
\[ 1.34 \times 3900 \]
Calculating this gives:
\[ 1.34 \times 3900 = 5226 \]

### Step 2: Calculate \( 38.94\% \text{ of } 134 \)

Next, we convert \( 38.94\% \) into a decimal:
\[ 38.94\% = \frac{38.94}{100} = 0.3894 \]
Now, we multiply this by \( 134 \):
\[ 0.3894 \times 134 \]
For approximation, we can round \( 38.94\% \) to \( 39\% \):
\[ 39\% = \frac{39}{100} = 0.39 \]
Now, we calculate:
\[ 0.39 \times 134 \]
Calculating this gives:
\[ 0.39 \times 134 = 52.26 \]

### Step 3: Add the two results together

Now we add the two approximated results:
\[ 5226 + 52.26 \]
For approximation, we can round \( 52.26 \) to \( 52 \):
\[ 5226 + 52 = 5278 \]

### Step 4: Final approximation

Now, we will round \( 5278 \) to the nearest hundred:
- The tens place is \( 7 \), which is greater than \( 5 \), so we round up:
\[ 5278 \approx 5300 \]

Thus, the final answer is:
\[ \boxed{5300} \]