In a certain coded arithmetic, P denotes multiplication (*), T denotes subtraction (-), M denotes addition (+), and B denotes division (/). Using these meanings and standard arithmetic precedence, find the value of: 28B7P8T6M4 = ?

Introduction / Context:
This question tests coded operators where letters represent arithmetic operations. The key steps are: translate each letter into its real operation, then evaluate the resulting expression using standard precedence rules.

Given Data / Assumptions:

• P means multiplication (*).
• T means subtraction (-).
• M means addition (+).
• B means division (/).
• Use standard precedence: division and multiplication before addition and subtraction.

Concept / Approach:
Rewrite the expression by replacing B, P, T, M with /, *, -, + respectively. Then compute step-by-step, ensuring correct precedence so the result is accurate.

Step-by-Step Solution:
Expression: 28B7P8T6M4 Replace codes: B → /, P → *, T → -, M → + So it becomes: 28 / 7 * 8 - 6 + 4 Compute division first: 28 / 7 = 4 Then multiplication: 4 * 8 = 32 Now handle subtraction and addition left to right: 32 - 6 = 26 26 + 4 = 30

Verification / Alternative check:
Another quick view: 28/7 is small (4), then 4*8 is 32, and (-6+4) is -2, so 32-2 = 30. This confirms the same final value.

Why Other Options Are Wrong:
28: happens if you stop after 28/7*8 without finishing operations. 34 or 32: often from adding 6 instead of subtracting, or ignoring precedence. 26: from stopping at 32 - 6 and not adding 4.

Common Pitfalls:
Doing subtraction before multiplication, misreading B as minus, or calculating strictly left-to-right without precedence can lead to incorrect answers.

Final Answer:
30