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80+60=140
Section A: 80/140= 57.14% of total grade
Section B: 60/140= 42.86% of total grade
57.14(.55) + 42.86(1) = greatest percentage= 74.287%
You would multiply Section B's part of the grade by 1 (100%) because to get the greatest percentage possible on the entire examination she would have to get 100% on the second part.

On the first part of the test (Section A) Alex scored 55% of 80 marks.
He got 55% of 80 = 44 marks.
On the second part of the test (Section B) we assume that Alex scores 100% (we need the greatest percentage).
On the Section B he got 60 marks.
60 + 44 = 104
The greatest percentage:
140 × x = 104
(max points on the test × the percentage = the number of marks Alex got)
x = 104/140
x = 0.7428 = 74.3%

The correct answer is 7