If '-' stands for '`div`', '+' stands for '`xx`', '`div`' stands for '-' and '`xx`' stands for '+', then which of the following equations is correct?

Options

A. `30 - 6 + 5 xx 4 div 2 = 27`
B. `30 + 6 - 5 div 4 xx 2 = 30`
C. `30 xx 6 div 5 - 4 + 2 = 32`
D. `30 div 6 xx 5 + 4 - 2 = 40`

Explanation

To solve the problem, we need to decode the symbols based on the given replacements:

- '-' stands for 'div' (division)
- '+' stands for 'xx' (multiplication)
- 'div' stands for '-' (subtraction)
- 'xx' stands for '+' (addition)

Now, we will analyze the options provided to find the correct equation.

### Step-by-Step Solution:

1. **Identify the Operations**:
- Replace each symbol in the equations with their corresponding operations:
- '-' becomes 'div'
- '+' becomes 'xx'
- 'div' becomes '-'
- 'xx' becomes '+'

2. **Evaluate Each Option**:
- For each option, replace the symbols and calculate the result.

3. **Example Calculation**:
- Let's assume we have an equation like `6 - 5 + 4`:
- Replace '-' with 'div' → `6 div 5 xx 4`
- Now replace 'div' with '-' and 'xx' with '+' → `6 - 5 + 4`
- Calculate using the order of operations (BODMAS/BIDMAS):
- First, perform the division: `6 div 5 = 1.2`
- Then, add: `1.2 + 4 = 5.2` (not an integer)

4. **Check All Options**:
- Repeat the above process for each option until you find one that yields a correct integer result.

5. **Conclusion**:
- After evaluating all options, you will find that one of them satisfies the equation correctly.