`10570-?=18 2/3` of 480-3960+15.

Options

A. 5600
B. 5450
C. 5555
D. 1550

Answer

To solve the equation \( 10570 - ? = \frac{18 \frac{2}{3} \text{ of } 480 - 3960 + 15} \), we will follow these steps:

### Step 1: Calculate \( \frac{18 \frac{2}{3}}{480} \)

First, we need to convert \( 18 \frac{2}{3} \) into an improper fraction:
\[ 18 \frac{2}{3} = \frac{18 \times 3 + 2}{3} = \frac{54 + 2}{3} = \frac{56}{3} \]

Now, we calculate \( \frac{56}{3} \text{ of } 480 \):
\[ \frac{56}{3} \times 480 = \frac{56 \times 480}{3} \]
Calculating \( 56 \times 480 \):
\[ 56 \times 480 = 26880 \]
Now divide by 3:
\[ \frac{26880}{3} = 8960 \]

### Step 2: Substitute into the equation

Now substitute \( 8960 \) back into the equation:
\[ 10570 - ? = 8960 - 3960 + 15 \]

### Step 3: Calculate the right side of the equation

Now calculate \( 8960 - 3960 + 15 \):
\[ 8960 - 3960 = 5000 \]
Then add 15:
\[ 5000 + 15 = 5015 \]

### Step 4: Set up the equation

Now we have:
\[ 10570 - ? = 5015 \]

### Step 5: Solve for the question mark

To find \( ? \), we can rearrange the equation:
\[ ? = 10570 - 5015 \]

Now calculate \( 10570 - 5015 \):
\[ 10570 - 5015 = 5555 \]

### Final Answer

Thus, the value of \( ? \) is:
\[ ? = 5555 \]

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