Concept:Apply the BODMAS rule. Solve the bracket first, then multiplication, and finally addition and subtraction from left to right.
Explanation:First, solve inside the bracket:
27+21=48.
The expression becomes
94+61−38+48×2−91.
Next, do the multiplication:
48×2=96.
Now we have
94+61−38+96−91.
Add all positive numbers:
94+61+96=251.
Add all negative numbers:
38+91=129.
Subtract negatives from positives:
251−129=122.
Alternatively, stepwise:
94+61=155,
155−38=117,
117+96=213,
213−91=122.
Answer:The correct answer is
122, which corresponds to option D.