Solve 20×4:5×(3+0×7-1): Order of Operations Challenge

Let's simplify this expression while following the order of operations which states that exponents come before multiplication and division, which come before addition and subtraction, and that parentheses come before all of these,

Therefore, we'll start by simplifying the expression in parentheses, since multiplication comes before addition and subtraction, we'll first perform the multiplication in this expression and then the addition and subtraction operations

$20\cdot4:5\cdot(3+0\cdot7-1)= \\ 20\cdot4:5\cdot(3+0-1)= \\ 20\cdot4:5\cdot2 \\$Let's continue simplifying the expression we got in the last step, note that between division and multiplication operations there is no precedence derived from the aforementioned order of operations, therefore we'll perform the operations one after another from left to right - this is the natural order of operations,

$20\cdot4:5\cdot2 = \\ 80:5\cdot2 =\\ 16\cdot2 =\\ 32$Therefore the correct answer is answer B.