275 + 64% of 750 = 750 + ?

Options

A. 25
B. 8
C. 10
D. 5

Answer

To solve the equation \( 275 + 64\% \text{ of } 750 = 750 + ? \), we will follow these steps:

### Step 1: Calculate 64% of 750
First, we need to find \( 64\% \) of \( 750 \).

\[ 64\% \text{ of } 750 = \frac{64}{100} \times 750 \]

### Step 2: Simplify the calculation
Now, we can simplify the expression:

\[ = \frac{64 \times 750}{100} \]

### Step 3: Calculate \( 64 \times 750 \)
Next, we calculate \( 64 \times 750 \):

\[ 64 \times 750 = 48000 \]

### Step 4: Divide by 100
Now, we divide \( 48000 \) by \( 100 \):

\[ \frac{48000}{100} = 480 \]

### Step 5: Substitute back into the equation
Now we substitute \( 480 \) back into the original equation:

\[ 275 + 480 = 750 + ? \]

### Step 6: Combine the left side
Now, we add \( 275 \) and \( 480 \):

\[ 755 = 750 + ? \]

### Step 7: Isolate the question mark
To find \( ? \), we subtract \( 750 \) from both sides:

\[ ? = 755 - 750 \]

### Step 8: Calculate the final value
Now we calculate:

\[ ? = 5 \]

Thus, the value of \( ? \) is \( 5 \).

### Final Answer
The answer is \( 5 \).

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