1. The problem is to evaluate the expression: $$150 - (3 \cdot 3.25 + \frac{3}{4} \cdot 47.80 + 2.5 \cdot 11)$$ 2. We use the order of operations (PEMDAS/BODMAS): first calculate multiplication inside the parentheses, then addition inside the parentheses, and finally subtraction outside. 3. Calculate each multiplication: - $3 \cdot 3.25 = 9.75$ - $\frac{3}{4} \cdot 47.80 = 0.75 \cdot 47.80 = 35.85$ - $2.5 \cdot 11 = 27.5$ 4. Sum the results inside the parentheses: $$9.75 + 35.85 + 27.5 = 73.1$$ 5. Subtract this sum from 150: $$150 - 73.1 = 76.9$$ 6. Therefore, the value of the expression is $76.9$.