If @ means + , # means - , $ means `xx` and * means `div` , then what is the value of 16 @ 4 $ 5 # 72 * 8 =

Options

A. 27
B. 26
C. 36
D. 35

Answer

To solve the expression \( 16 @ 4 \$ 5 \# 72 * 8 \) using the given symbols, we first need to replace each symbol with its corresponding mathematical operation:

- \( @ \) means \( + \)
- \( \# \) means \( - \)
- \( \$ \) means \( \times \)
- \( * \) means \( \div \)

Now, we can rewrite the expression:

\[ 16 @ 4 \$ 5 \# 72 * 8 \implies 16 + 4 \times 5 - 72 \div 8 \]

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

1. **Division**: Calculate \( 72 \div 8 \)
\[ 72 \div 8 = 9 \]

2. **Multiplication**: Calculate \( 4 \times 5 \)
\[ 4 \times 5 = 20 \]

Now, we can substitute these values back into the expression:

\[ 16 + 20 - 9 \]

3. **Addition**: Calculate \( 16 + 20 \)
\[ 16 + 20 = 36 \]

4. **Subtraction**: Finally, calculate \( 36 - 9 \)
\[ 36 - 9 = 27 \]

Thus, the final value of the expression \( 16 @ 4 \$ 5 \# 72 * 8 \) is:

\[ \boxed{27} \]