If A means -, B means `-: `, C means + and D means `xx`, then 15 B 3C 24 A 12 D 2 = ?

Options

A. 34
B. 2
C. `5/9`
D. 5

Explanation

To solve the expression \( 15 B 3 C 24 A 12 D 2 \) using the given meanings for the symbols, we first need to substitute the symbols with their corresponding mathematical operations:

- \( A \) means subtraction (-)
- \( B \) means division (÷)
- \( C \) means addition (+)
- \( D \) means multiplication (×)

Now, we can rewrite the expression:

\[ 15 B 3 C 24 A 12 D 2 \implies 15 \div 3 + 24 - 12 \times 2 \]

Next, we will follow the order of operations (BODMAS/BIDMAS):

1. **Division and Multiplication** first (from left to right).
2. Then **Addition and Subtraction** (from left to right).

### Step 1: Perform the division
\[ 15 \div 3 = 5 \]

### Step 2: Rewrite the expression
Now substitute the result back into the expression:
\[ 5 + 24 - 12 \times 2 \]

### Step 3: Perform the multiplication
\[ 12 \times 2 = 24 \]

### Step 4: Rewrite the expression again
Now substitute the result back into the expression:
\[ 5 + 24 - 24 \]

### Step 5: Perform the addition
\[ 5 + 24 = 29 \]

### Step 6: Perform the subtraction
\[ 29 - 24 = 5 \]

Thus, the final result of the expression \( 15 B 3 C 24 A 12 D 2 \) is:
\[ \boxed{5} \]

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