If `(a-4)/(28)=(1)/(4)`, what is the value of a?

Options

A. `11`
B. `10`
C. `7`
D. `6`

Answer

To solve the equation \(\frac{a-4}{28} = \frac{1}{4}\), we can follow these steps:

### Step 1: Set up the equation
We start with the equation:
\[ \frac{a-4}{28} = \frac{1}{4} \]

### Step 2: Cross-multiply
To eliminate the fractions, we can cross-multiply:
\[ (a - 4) \cdot 4 = 1 \cdot 28 \]
This simplifies to:
\[ 4(a - 4) = 28 \]

### Step 3: Distribute the 4
Now, distribute the 4 on the left side:
\[ 4a - 16 = 28 \]

### Step 4: Isolate the term with \(a\)
Next, we add 16 to both sides to isolate the term with \(a\):
\[ 4a = 28 + 16 \]
This simplifies to:
\[ 4a = 44 \]

### Step 5: Solve for \(a\)
Now, divide both sides by 4 to solve for \(a\):
\[ a = \frac{44}{4} \]
This simplifies to:
\[ a = 11 \]

### Final Answer
Thus, the value of \(a\) is:
\[ \boxed{11} \]

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