?% of 218 `= 3(1)/(3) xx 3.3121`

Options

A. 2.5
B. 5
C. 10
D. 15

Answer

To solve the equation "?% of 218 = 3(1/3) x 3.3121", we will break it down step by step.

### Step 1: Understand the equation
We need to find the value of "?" in the equation. The left side is "?% of 218" and the right side is "3(1/3) x 3.3121".

### Step 2: Simplify the right side
First, we simplify the right side of the equation:
- Convert \(3(1/3)\) into an improper fraction:
\[ 3(1/3) = 3 + \frac{1}{3} = \frac{9}{3} + \frac{1}{3} = \frac{10}{3} \]
- Now multiply this by \(3.3121\):
\[ \frac{10}{3} \times 3.3121 = \frac{10 \times 3.3121}{3} = \frac{33.121}{3} \]

### Step 3: Calculate the division
Now, we need to perform the division:
\[ \frac{33.121}{3} = 11.0403 \]

### Step 4: Set up the equation
Now we have:
\[ ?% \text{ of } 218 = 11.0403 \]
This can be rewritten as:
\[ \frac{?}{100} \times 218 = 11.0403 \]

### Step 5: Solve for "?"
To isolate "?", we can multiply both sides by 100:
\[ ? \times 218 = 11.0403 \times 100 \]
Calculating the right side:
\[ 11.0403 \times 100 = 1104.03 \]
Now, divide both sides by 218:
\[ ? = \frac{1104.03}{218} \]

### Step 6: Calculate the final value
Now, perform the division:
\[ ? = 5.05 \]

### Step 7: Round to the nearest whole number
Since we are looking for a percentage, we round 5.05 to the nearest whole number:
\[ ? \approx 5 \]

### Final Answer
Thus, the value of "?" is 5.

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