Add 395.6 to 48.07 and subtract it from the sum of 510.05 and 115.15.

Options

A. `179.25`
B. `181.53`
C. `185.69`
D. `182.46`

Answer

To solve the problem, we will follow these steps:

### Step 1: Add 395.6 and 48.07
First, we need to add the two numbers together.

\[ 395.6 + 48.07 \]

Align the decimal points:

```
395.60
+ 48.07
---------
```

Now, let's add:

- In the hundredths place: \(0 + 7 = 7\)
- In the tenths place: \(6 + 0 = 6\)
- In the units place: \(5 + 8 = 13\) (write 3 and carry over 1)
- In the hundreds place: \(3 + 4 + 1 = 8\)

So,

\[ 395.6 + 48.07 = 443.67 \]

### Step 2: Add 510.05 and 115.15
Next, we will add these two numbers.

\[ 510.05 + 115.15 \]

Align the decimal points:

```
510.05
+ 115.15
---------
```

Now, let's add:

- In the hundredths place: \(5 + 5 = 10\) (write 0 and carry over 1)
- In the tenths place: \(0 + 1 + 1 = 2\)
- In the units place: \(0 + 5 = 5\)
- In the hundreds place: \(5 + 1 = 6\)

So,

\[ 510.05 + 115.15 = 625.20 \]

### Step 3: Subtract the sum from Step 1 from the sum from Step 2
Now we will subtract the result from Step 1 from the result from Step 2.

\[ 625.20 - 443.67 \]

Align the decimal points:

```
625.20
- 443.67
---------
```

Now, let's subtract:

- In the hundredths place: \(0 - 7\) (we need to borrow, so it becomes \(10 - 7 = 3\))
- In the tenths place: \(1 - 6\) (we need to borrow, so it becomes \(11 - 6 = 5\))
- In the units place: \(4 - 3 = 1\)
- In the hundreds place: \(6 - 4 = 2\)

So,

\[ 625.20 - 443.67 = 181.53 \]

### Final Answer
The final result is:

\[ \boxed{181.53} \]

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