Solve the following: `60 div 5 xx (16- 8 div 2) div 3` =?

Options

A. 3
B. 48
C. 1
D. `1/3`

Answer

To solve the expression `60 div 5 xx (16 - 8 div 2) div 3`, we will follow the order of operations, often remembered by the acronym BODMAS/BIDMAS (Brackets, Orders, Division and Multiplication (from left to right), Addition and Subtraction (from left to right)).

### Step-by-Step Solution:

1. **Identify the expression**:
\[ 60 \div 5 \times (16 - 8 \div 2) \div 3 \]

2. **Solve the division inside the brackets first**:
\[ 8 \div 2 = 4 \]
So, we can rewrite the expression as:
\[ 60 \div 5 \times (16 - 4) \div 3 \]

3. **Now, simplify the expression inside the brackets**:
\[ 16 - 4 = 12 \]
Now the expression becomes:
\[ 60 \div 5 \times 12 \div 3 \]

4. **Next, perform the division \(60 \div 5\)**:
\[ 60 \div 5 = 12 \]
So now we have:
\[ 12 \times 12 \div 3 \]

5. **Now, perform the multiplication \(12 \times 12\)**:
\[ 12 \times 12 = 144 \]
This gives us:
\[ 144 \div 3 \]

6. **Finally, perform the last division \(144 \div 3\)**:
\[ 144 \div 3 = 48 \]

Thus, the final answer is:
\[ \text{Answer} = 48 \]