`7072div(16% "of" 884)=30xx1(1)/(12) "of" (?div39)`

Options

A. 60
B. 62
C. 65
D. 55

Explanation

To solve the equation \( 7072 \div (16\% \text{ of } 884) = 30 \times \frac{11}{12} \text{ of } \left( ? \div 39 \right) \), we will follow these steps:

### Step 1: Calculate 16% of 884
First, we need to find 16% of 884.
\[ 16\% \text{ of } 884 = \frac{16}{100} \times 884 = \frac{16 \times 884}{100} = \frac{14144}{100} = 141.44 \]

**Hint:** To find a percentage of a number, multiply the percentage (as a fraction) by the number.

### Step 2: Substitute into the equation
Now we substitute this value back into the equation:
\[ 7072 \div 141.44 = 30 \times \frac{11}{12} \text{ of } \left( ? \div 39 \right) \]

**Hint:** When substituting values, ensure you maintain the structure of the equation.

### Step 3: Calculate the left side
Next, we calculate the left side:
\[ 7072 \div 141.44 \approx 50 \]

**Hint:** Division can be simplified by estimating or using a calculator for precise values.

### Step 4: Calculate the right side
Now we simplify the right side:
\[ 30 \times \frac{11}{12} = \frac{330}{12} = 27.5 \]
So, we have:
\[ 50 = 27.5 \text{ of } \left( ? \div 39 \right) \]

**Hint:** When multiplying fractions, multiply the numerators and denominators separately.

### Step 5: Solve for \( ? \div 39 \)
Now we need to isolate \( ? \div 39 \):
\[ ? \div 39 = \frac{50}{27.5} = \frac{5000}{275} = \frac{200}{11} \]

**Hint:** To isolate a variable, perform inverse operations.

### Step 6: Solve for \( ? \)
Now, multiply both sides by 39 to find \( ? \):
\[ ? = \frac{200}{11} \times 39 = \frac{7800}{11} \approx 709.09 \]

**Hint:** When multiplying fractions, multiply the whole number by the numerator and keep the denominator.

### Final Answer
Thus, the value of \( ? \) is approximately \( 709.09 \).