If $ means 'divided by'; @ means 'multiplied by'; # means 'minus', then the value of 10#5@1$5 is

First, I need to translate the coded expression into a mathematical one, a process known as 'Symbol Decoding' [5].\n\nGiven:\n$ = Divided by (/)\n@ = Multiplied by (*)\n# = Minus (-)\n\nExpression: 10 # 5 @ 1 $ 5\nDecoded: 10 - 5 * 1 / 5\n\nNow, I apply basic arithmetic logic. A trap here is to solve linearly from left to right (10-5=5... etc), which gives 1 (Option B). This is incorrect because in math, multiplication and division are 'stronger' than subtraction and must be done first. This aligns with the 'Basic Arithmetic Operations' principles [18].\n\nI will group the multiplication/division part: (5 * 1 / 5).\n\nIntuitive check: If I take 5, multiply it by 1, and divide by 5, I am back to 1. The operation effectively cancels out.\nSo, 5 * 1 / 5 = 1.\n\nNow, substitute this back into the main expression:\n10 - 1 = 9.\n\nThis is a simple linear combination [1] once the hierarchy is resolved. The correct value is 9.