Step 1: Understanding the Concept:
This is a substitution-based problem. We must first translate the letters into their corresponding mathematical symbols and then evaluate the expression using the BODMAS priority rule.
Step 2: Key Formula or Approach:
Mapping: A \(\to +\), B \(\to \times\), C \(\to -\), D \(\to \div\).
Equation: \[ (45 \div 9) \times 5 + 8 \times (7 + 3 - 6) - (28 \div (4 \div 4)) \]
Step 3: Detailed Explanation:
We solve the expression step-by-step using parentheses priority:
1. Solve Innermost Brackets:
In the last part: \( (4 \div 4) = 1 \).
The term becomes \( (28 \div 1) \), which equals 28.
2. Solve Other Brackets:
First bracket: \( (45 \div 9) = 5 \).
Middle bracket: \( (7 + 3 - 6) \). First add \( 7+3=10 \), then subtract \( 10-6=4 \).
3. Rewrite the full expression with solved values:
\[ 5 \times 5 + 8 \times 4 - 28 \]
4. Perform Multiplications:
\( 5 \times 5 = 25 \)
\( 8 \times 4 = 32 \)
Equation: \( 25 + 32 - 28 \).
5. Final Addition and Subtraction:
\( 25 + 32 = 57 \)
\( 57 - 28 = 29 \).
The final calculated value is 29, which corresponds to option (C).
Step 4: Final Answer:
The result of the expression is 29.