An exam is made of two papers that score differently
Paper 1 has 120 marks paper 2 has 80 marks
Marian scores 65% in paper 1 80% in paper 2
Work out Marian total percentage score for the exam
To calculate Marian's total percentage score for the exam, we need to find the weighted average of her scores on both papers.
First, we calculate the weighted score for each paper by multiplying the score by the weight (percentage):
Weighted score for paper 1 = 120 marks * 65% = 78 marks
Weighted score for paper 2 = 80 marks * 80% = 64 marks
Next, we calculate the total weighted score by adding the weighted scores for both papers:
Total weighted score = 78 marks + 64 marks = 142 marks
Finally, we calculate the total percentage score for the exam by dividing the total weighted score by the maximum possible weighted score and multiplying by 100:
Total percentage score = (142 marks / (120 marks + 80 marks)) * 100
Total percentage score = (142 marks / 200 marks) * 100
Total percentage score = 0.71 * 100
Total percentage score = 71
Therefore, Marian's total percentage score for the exam is 71%.