Question

What is the value of “twelve more than the quotient of a number and two, decreased by four” when n = 4?
4
6
10
14

Answer 1

To find the expression "twelve more than the quotient of a number and two, decreased by four" when \( n = 4 \), we'll break it down step by step.

1. **Identify the expression**: The phrase can be represented mathematically as:
\[
12 + \left(\frac{n}{2}\right) - 4
\]
where \( n \) is the number we are substituting.

2. **Replace \( n \) with 4**:
\[
12 + \left(\frac{4}{2}\right) - 4
\]

3. **Calculate the quotient**:
\[
\frac{4}{2} = 2
\]

4. **Substitute back into the expression**:
\[
12 + 2 - 4
\]

5. **Perform the addition and subtraction**:
\[
12 + 2 = 14
\]
\[
14 - 4 = 10
\]

Thus, the final value is \( 10 \). Therefore, the answer is:
\[
\boxed{10}
\]