If + means `-:`, - means +, `xx` means - and `-:` menas `xx` then find the value of `27-: 15- 36+6`?

Options

A. 411
B. 414
C. 416
D. 412

Answer

To solve the expression \( 27 -: 15 - 36 + 6 \) using the given substitutions, we will follow these steps:

### Step 1: Substitute the Operations
According to the problem:
- \( + \) means \( -: \) (division)
- \( - \) means \( + \) (addition)
- \( xx \) means \( - \) (subtraction)
- \( -: \) means \( xx \) (multiplication)

Now, we will substitute the operations in the expression \( 27 -: 15 - 36 + 6 \):
- Replace \( -: \) with \( xx \) (multiplication)
- Replace \( - \) with \( + \) (addition)
- Replace \( + \) with \( -: \) (division)

So, the expression becomes:
\[ 27 \times 15 + 36 -: 6 \]

### Step 2: Solve the Expression
Now we will solve the expression step by step.

1. **Calculate \( 27 \times 15 \)**:
\[ 27 \times 15 = 405 \]

2. **Now substitute back into the expression**:
\[ 405 + 36 -: 6 \]

3. **Next, replace \( -: \) with \( xx \) (multiplication)**:
\[ 405 + 36 \div 6 \]

4. **Calculate \( 36 \div 6 \)**:
\[ 36 \div 6 = 6 \]

5. **Now substitute back into the expression**:
\[ 405 + 6 \]

6. **Finally, calculate \( 405 + 6 \)**:
\[ 405 + 6 = 411 \]

### Final Answer
Thus, the value of \( 27 -: 15 - 36 + 6 \) is \( \boxed{411} \).