What is the value of `30 div 6 xx "5 of" (2 + 3) - 12 (3 xx 2)` ?

Options

A. 82
B. 28
C. 53
D. 35

Answer

To solve the expression `30 div 6 xx "5 of" (2 + 3) - 12 (3 xx 2)`, we will follow the BODMAS/BIDMAS rule, which stands for Brackets, Orders (i.e., powers and square roots, etc.), Division and Multiplication (from left to right), Addition and Subtraction (from left to right).

Let's break it down step by step:

### Step 1: Solve the expression inside the brackets
The expression has a bracket: (2 + 3).
\[ 2 + 3 = 5 \]

### Step 2: Replace the bracket in the expression
Now, we replace (2 + 3) with 5 in the original expression:
\[ 30 \div 6 \times "5 of" 5 - 12 \times (3 \times 2) \]

### Step 3: Calculate "5 of" 5
The term "5 of" means to multiply 5 by 5:
\[ 5 \times 5 = 25 \]

### Step 4: Replace "5 of" in the expression
Now, we replace "5 of" 5 with 25:
\[ 30 \div 6 \times 25 - 12 \times (3 \times 2) \]

### Step 5: Calculate the multiplication inside the parentheses
Now, we calculate \(3 \times 2\):
\[ 3 \times 2 = 6 \]

### Step 6: Replace the multiplication in the expression
Now, we replace \(3 \times 2\) with 6:
\[ 30 \div 6 \times 25 - 12 \times 6 \]

### Step 7: Perform the division
Now, we perform the division \(30 \div 6\):
\[ 30 \div 6 = 5 \]

### Step 8: Replace the division in the expression
Now, we replace \(30 \div 6\) with 5:
\[ 5 \times 25 - 12 \times 6 \]

### Step 9: Perform the multiplication
Now, we perform the multiplications:
1. \(5 \times 25 = 125\)
2. \(12 \times 6 = 72\)

### Step 10: Replace the multiplications in the expression
Now, we replace the multiplications:
\[ 125 - 72 \]

### Step 11: Perform the subtraction
Finally, we perform the subtraction:
\[ 125 - 72 = 53 \]

### Final Answer
The value of the expression is:
\[ \boxed{53} \]