`41% "of" 601-250.17=?-77% "of" 910`

Options

A. 800
B. 500
C. 700
D. 650

Answer

To solve the equation \( 41\% \text{ of } 601 - 250.17 = ? - 77\% \text{ of } 910 \), we can follow these steps:

### Step 1: Convert percentages to fractions
Convert the percentages into fractions:
- \( 41\% = \frac{41}{100} \)
- \( 77\% = \frac{77}{100} \)

### Step 2: Write the equation
Using the fractions, we can rewrite the equation:
\[ \frac{41}{100} \times 601 - 250.17 = ? - \frac{77}{100} \times 910 \]

### Step 3: Calculate \( 41\% \text{ of } 601 \)
Calculate \( \frac{41}{100} \times 601 \):
\[ \frac{41 \times 601}{100} = \frac{24641}{100} = 246.41 \]

### Step 4: Calculate \( 77\% \text{ of } 910 \)
Calculate \( \frac{77}{100} \times 910 \):
\[ \frac{77 \times 910}{100} = \frac{70070}{100} = 700.7 \]

### Step 5: Substitute back into the equation
Now substitute these values back into the equation:
\[ 246.41 - 250.17 = ? - 700.7 \]

### Step 6: Simplify the left side
Calculate \( 246.41 - 250.17 \):
\[ 246.41 - 250.17 = -3.76 \]

### Step 7: Rearrange the equation
Now we have:
\[ -3.76 = ? - 700.7 \]
To isolate \( ? \), add \( 700.7 \) to both sides:
\[ ? = -3.76 + 700.7 \]

### Step 8: Calculate the final value of \( ? \)
Now calculate:
\[ ? = 696.94 \]

### Final Answer
Thus, the value of \( ? \) is:
\[ ? = 696.94 \]

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