Find the approximate value of (?) in the following questions.
`? = (64.99 xx 36.03)/("59.97% of 194.967") + 17.89`

Options

A. 30
B. 41
C. 46
D. 38

Answer

To find the approximate value of \( ? \) in the expression

\[ ? = \frac{(64.99 \times 36.03)}{(59.97\% \text{ of } 194.967)} + 17.89 \]

we will follow these steps:

### Step 1: Approximate the values
First, we approximate the numbers involved:
- \( 64.99 \approx 65 \)
- \( 36.03 \approx 36 \)
- \( 59.97\% \approx 60\% \)
- \( 194.967 \approx 195 \)
- \( 17.89 \approx 18 \)

So the expression becomes:

\[ ? \approx \frac{(65 \times 36)}{(60\% \text{ of } 195)} + 18 \]

### Step 2: Calculate \( 60\% \text{ of } 195 \)
To find \( 60\% \text{ of } 195 \):

\[ 60\% = \frac{60}{100} = 0.6 \]

Thus,

\[ 60\% \text{ of } 195 = 0.6 \times 195 = \frac{60 \times 195}{100} = \frac{11700}{100} = 117 \]

### Step 3: Calculate \( 65 \times 36 \)
Next, we calculate \( 65 \times 36 \):

\[ 65 \times 36 = 2340 \]

### Step 4: Substitute values into the expression
Now we substitute the calculated values back into the expression:

\[ ? \approx \frac{2340}{117} + 18 \]

### Step 5: Simplify \( \frac{2340}{117} \)
Now we simplify \( \frac{2340}{117} \):

To simplify, we can divide both the numerator and the denominator by 39:

\[ \frac{2340 \div 39}{117 \div 39} = \frac{60}{3} = 20 \]

### Step 6: Add 18 to the result
Finally, we add 18 to the result:

\[ ? \approx 20 + 18 = 38 \]

Thus, the approximate value of \( ? \) is

\[ \boxed{38} \]