What should come in place of the question mark (?) in the following equation ?
18 2/5 of 150.8 + ? = 8697.32 - 3058.16

Options

A. 2764.44
B. 2864.34
C. 1864.44
D. None of these

Answer

To find the value that should come in place of the question mark (?) in the equation \( 18 \frac{2}{5} \text{ of } 150.8 + ? = 8697.32 - 3058.16 \), we will follow these steps:

### Step 1: Calculate the right side of the equation
First, we need to simplify the right side of the equation:

\[ 8697.32 - 3058.16 \]

Calculating this gives:

\[ 8697.32 - 3058.16 = 5639.16 \]

### Step 2: Calculate \( 18 \frac{2}{5} \) of \( 150.8 \)
Next, we need to calculate \( 18 \frac{2}{5} \) of \( 150.8 \).

First, convert \( 18 \frac{2}{5} \) into an improper fraction:

\[ 18 \frac{2}{5} = \frac{92}{5} \]

Now, we will calculate \( \frac{92}{5} \) of \( 150.8 \):

\[ \frac{92}{5} \times 150.8 \]

Calculating this gives:

\[ \frac{92 \times 150.8}{5} = \frac{13993.6}{5} = 2798.72 \]

### Step 3: Set up the equation
Now we can set up the equation:

\[ 2798.72 + ? = 5639.16 \]

### Step 4: Solve for ?
To find the value of the question mark, we will isolate it:

\[ ? = 5639.16 - 2798.72 \]

Calculating this gives:

\[ ? = 2840.44 \]

### Final Answer
Thus, the value that should come in place of the question mark (?) is:

\[ \boxed{2840.44} \]

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