?% of 5600-28% of 3500=1988

Options

A. 58
B. 55
C. 51
D. 53

Explanation

To solve the equation \( ?\% \text{ of } 5600 - 28\% \text{ of } 3500 = 1988 \), we will follow these steps:

### Step 1: Convert the percentage to a decimal
Let \( x \) represent the unknown percentage. We can express \( x\% \) as \( \frac{x}{100} \).

### Step 2: Write the equation
The equation can be rewritten as:
\[ \frac{x}{100} \times 5600 - \frac{28}{100} \times 3500 = 1988 \]

### Step 3: Calculate \( 28\% \text{ of } 3500 \)
First, we calculate \( 28\% \text{ of } 3500 \):
\[ \frac{28}{100} \times 3500 = 980 \]

### Step 4: Substitute back into the equation
Now substitute this value back into the equation:
\[ \frac{x}{100} \times 5600 - 980 = 1988 \]

### Step 5: Add \( 980 \) to both sides
To isolate the term with \( x \), add \( 980 \) to both sides:
\[ \frac{x}{100} \times 5600 = 1988 + 980 \]
\[ \frac{x}{100} \times 5600 = 2968 \]

### Step 6: Multiply both sides by \( 100 \)
To eliminate the fraction, multiply both sides by \( 100 \):
\[ x \times 5600 = 296800 \]

### Step 7: Divide both sides by \( 5600 \)
Now, divide both sides by \( 5600 \) to solve for \( x \):
\[ x = \frac{296800}{5600} \]

### Step 8: Perform the division
Calculating the division:
\[ x = 53 \]

### Conclusion
Thus, the value of \( ? \) is \( 53 \).

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