If 3 = 18 r , what is the value of 6 +3 r ?

Options

A. 6
B. 27
C. 36
D. 39

Answer

To solve the equation \( 3 = 18r \) and find the value of \( 6 + 3r \), we will follow these steps:

### Step 1: Solve for \( r \)
We start with the equation:
\[ 3 = 18r \]
To isolate \( r \), we divide both sides by 18:
\[ r = \frac{3}{18} \]
Simplifying the fraction:
\[ r = \frac{1}{6} \]

### Step 2: Substitute \( r \) into the expression \( 6 + 3r \)
Now that we have \( r \), we can substitute it into the expression \( 6 + 3r \):
\[ 6 + 3r = 6 + 3 \left(\frac{1}{6}\right) \]

### Step 3: Calculate \( 3r \)
Calculating \( 3r \):
\[ 3r = 3 \times \frac{1}{6} = \frac{3}{6} = \frac{1}{2} \]

### Step 4: Add to 6
Now substitute back into the expression:
\[ 6 + 3r = 6 + \frac{1}{2} \]
To add these, we convert 6 into a fraction:
\[ 6 = \frac{12}{2} \]
So,
\[ 6 + \frac{1}{2} = \frac{12}{2} + \frac{1}{2} = \frac{13}{2} \]

### Final Answer
Thus, the value of \( 6 + 3r \) is:
\[ \frac{13}{2} \]

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