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%