`23% "of " 2500-22% "of" 500=930div?`

Options

A. 2.5
B. 2
C. 3
D. 1.5

Explanation

To solve the equation \( 23\% \text{ of } 2500 - 22\% \text{ of } 5000 = \frac{930}{?} \), we will follow these steps:

### Step 1: Calculate \( 23\% \text{ of } 2500 \)
To find \( 23\% \text{ of } 2500 \):
\[ 23\% = \frac{23}{100} \]
So,
\[ 23\% \text{ of } 2500 = \frac{23}{100} \times 2500 = \frac{23 \times 2500}{100} = \frac{57500}{100} = 575 \]

### Step 2: Calculate \( 22\% \text{ of } 5000 \)
To find \( 22\% \text{ of } 5000 \):
\[ 22\% = \frac{22}{100} \]
So,
\[ 22\% \text{ of } 5000 = \frac{22}{100} \times 5000 = \frac{22 \times 5000}{100} = \frac{110000}{100} = 1100 \]

### Step 3: Substitute the values into the equation
Now we substitute the values we calculated into the equation:
\[ 575 - 1100 = \frac{930}{?} \]

### Step 4: Calculate \( 575 - 1100 \)
Now, we perform the subtraction:
\[ 575 - 1100 = -525 \]
So, we have:
\[ -525 = \frac{930}{?} \]

### Step 5: Cross-multiply to solve for \( ? \)
Cross-multiplying gives us:
\[ -525 \times ? = 930 \]
To find \( ? \), we divide both sides by -525:
\[ ? = \frac{930}{-525} \]

### Step 6: Simplify the fraction
Now, we simplify \( \frac{930}{-525} \):
\[ ? = -\frac{930 \div 15}{525 \div 15} = -\frac{62}{35} \]

### Final Answer
Thus, the value of \( ? \) is:
\[ ? = -\frac{62}{35} \]

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