Simplify : `25 + [14 - 18 + {12 " of " 5-(16 divide 4 xx 3 -2)}]`

Options

A. `23`
B. `76`
C. `34`
D. `71`

Explanation

To simplify the expression `25 + [14 - 18 + {12 " of " 5 - (16 divide 4 xx 3 - 2)}]`, we will follow the order of operations, often remembered by the acronym BODMAS/BIDMAS (Brackets, Orders, Division and Multiplication, Addition and Subtraction).

### Step-by-Step Solution:

1. **Identify and Solve the Innermost Bracket**:
Start with the innermost expression: `(16 divide 4 xx 3 - 2)`.
- First, perform the division: `16 divide 4 = 4`.
- Then, perform the multiplication: `4 xx 3 = 12`.
- Finally, perform the subtraction: `12 - 2 = 10`.

Now, we can replace the innermost expression in the original equation:
\[ 25 + [14 - 18 + {12 \text{ of } 5 - 10}] \]

2. **Calculate the "of" Operation**:
The term `12 " of " 5` means `12 * 5`.
- Calculate: `12 * 5 = 60`.

Now, replace this in the expression:
\[ 25 + [14 - 18 + (60 - 10)] \]

3. **Simplify Inside the Brackets**:
Now simplify the expression inside the brackets:
- Start with `60 - 10 = 50`.
- Now, the expression is:
\[ 25 + [14 - 18 + 50] \]

4. **Continue Simplifying Inside the Brackets**:
- Calculate `14 - 18 = -4`.
- Now, replace this in the expression:
\[ 25 + [-4 + 50] \]

5. **Final Simplification Inside the Brackets**:
- Now calculate `-4 + 50 = 46`.
- The expression now becomes:
\[ 25 + 46 \]

6. **Final Addition**:
- Finally, add `25 + 46 = 71`.

Thus, the simplified value of the expression is **71**.