Find the value of question mark (?) in the following questions.
80% of ? = `sqrt(250 xx 44 + 40% "of 8500")`

Options

A. 80
B. 120
C. 150
D. 180

Answer

To solve the equation \( 80\% \text{ of } ? = \sqrt{250 \times 44 + 40\% \text{ of } 8500} \), we will follow these steps:

### Step 1: Calculate \( 40\% \text{ of } 8500 \)
To find \( 40\% \text{ of } 8500 \):
\[ 40\% = \frac{40}{100} = 0.4 \]
\[ 0.4 \times 8500 = 3400 \]

### Step 2: Calculate \( 250 \times 44 \)
Next, we calculate \( 250 \times 44 \):
\[ 250 \times 44 = 11000 \]

### Step 3: Add the results from Step 1 and Step 2
Now we add the results from Step 1 and Step 2:
\[ 11000 + 3400 = 14400 \]

### Step 4: Calculate the square root
Now we find the square root of the sum:
\[ \sqrt{14400} = 120 \]

### Step 5: Set up the equation
Now we have:
\[ 80\% \text{ of } ? = 120 \]
This can be rewritten as:
\[ 0.8 \times ? = 120 \]

### Step 6: Solve for ?
To find \( ? \), divide both sides by \( 0.8 \):
\[ ? = \frac{120}{0.8} \]
Calculating this gives:
\[ ? = 150 \]

### Final Answer
The value of \( ? \) is \( 150 \).

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