Solve the Expression: (3×5+5)÷(4+3×2) Using Order of Operations

Use the order of operations to simplify the given operation. The order of operations states that exponents precede multiplication and division, which precede addition and subtraction, and that parentheses precede all of the above:

In the given expression, there is a division operation between two expressions inside of parentheses. Therefore we will first simplify these expressions (due to the fact that they are inside of parentheses)

We will simplify the expressions simultaneously, whilst following the aforementioned order of operations. Given that multiplication precedes addition, we will begin by calculating the results of the multiplications operations and then proceed to perform the addition:

$(3\cdot5+5):(4+3\cdot2)= \\ (15+5):(4+6)=\\ 20:10=\\ 2$

In the final step, we perform the remaining division operation (located between the parentheses in the original expression).

Therefore, the correct answer is answer C.